Applications Of Non Perturbative Renormalization

Author : Mastropietro Vieri
Publisher : World Scientific
Page : 304 pages
File Size : 52,9 Mb
Release : 2008-03-04
Category : Electronic books
ISBN : 9789814471787

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Non-perturbative Renormalization by Mastropietro Vieri Pdf

The notion of renormalization is at the core of several spectacular achievements of contemporary physics, and in the last years powerful techniques have been developed allowing to put renormalization on a firm mathematical basis. This book provides a self-consistent and accessible introduction to the sophisticated tools used in the modern theory of non-perturbative renormalization, allowing an unified and rigorous treatment of Quantum Field Theory, Statistical Physics and Condensed Matter models. In particular the first part of this book is devoted to Constructive Quantum Field Theory, providing a mathematical construction of models at low dimensions and discussing the removal of the ultraviolet and infrared cut-off, the verification of the axioms and the validity of Ward Identities with the relative anomalies. The second part is devoted to lattice 2D Statistical Physics, analyzing in particular the theory of universality in perturbed Ising models and the computation of the non-universal critical indices in Vertex or Ashkin-Teller models. Finally the third part is devoted to the analysis of complex quantum fluids showing Luttinger of Fermi liquid behavior, like the 1D or 2D Hubbard model.

Author : Farrukh Ahmed Chishtie
Publisher : National Library of Canada = Bibliothèque nationale du Canada
Page : 326 pages
File Size : 44,8 Mb
Release : 2001
Category : Padé approximant
ISBN : 0612680770

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Renormalization Group and Pade Applications to Perturbative and Non-perturbative Quantum Field Theory [microform] by Farrukh Ahmed Chishtie Pdf

Pade approximants (PA) have been widely applied in practically all areas of physics. This thesis focuses on developing PA as tools for both perturbative and non-perturbative quantum field theory (QFT).

Author : Z. Horv th,L. Palla
Publisher : World Scientific
Page : 471 pages
File Size : 52,5 Mb
Release : 2001
Category : Science
ISBN : 9789810246495

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Non-perturbative QFT Methods and Their Applications by Z. Horv th,L. Palla Pdf

http://www.worldscientific.com/worldscibooks/10.1142/4727

Author : Z. Horv th,L. Palla
Publisher : World Scientific
Page : 474 pages
File Size : 43,9 Mb
Release : 2001
Category : Science
ISBN : 9812799966

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Nonperturbative Quantum-field-theoretic Methods and Their Applications by Z. Horv th,L. Palla Pdf

Contents: Conformal Boundary Conditions OCo and What They Teach Us (V B Petkova & J-B Zuber); A Physical Basis for the Entropy of the AdS 3 Black Hole (S Fernando & F Mansouri); Spinon Formulation of the Kondo Problem (A Klmper & J R Reyes-Martinez); Boundary Integrable Quantum Field Theories (P Dorey); Finite Size Effects in Integrable Quantum Field Theories (F Ravanini); Nonperturbative Analysis of the Two-Frequency Sine-Gordon Model (Z Bajnok et al.); Screening in Hot SU(2) Gauge Theory and Propagators in 3D Adjoint Higgs Model (A Cucchieri et al.); Effective Average Action in Statistical Physics and Quantum Field Theory (Ch Wetterich); Phase Transitions in Non-Hermitean Matrix Models and the OC Single RingOCO Theorem (J Feinberg et al.); Unraveling the Mystery of Flavor (A Falk); The Nahm Transformation on R 2 X T 2 (C Ford); A 2D Integrable Axion Model and Target Space Duality (P Forgics); Supersymmetric Ward Identities and Chiral Symmetry Breaking in SUSY QED (M L Walker); and other papers. Readership: Theoretical, mathematical and high energy physicists."

Author : Malo Tarpin
Publisher : Springer Nature
Page : 217 pages
File Size : 44,8 Mb
Release : 2020-03-19
Category : Science
ISBN : 9783030398712

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Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems by Malo Tarpin Pdf

This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the Navier-Stokes equation and that it becomes exact in the physically relevant limit of large wave-numbers. The obtained correlation functions show how scale invariance is broken in a subtle way, related to intermittency corrections.

Author : Iosif L. Buchbinder,Ilya Shapiro
Publisher : Oxford University Press
Page : 464 pages
File Size : 44,6 Mb
Release : 2021-03-01
Category : Science
ISBN : 9780192575319

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Introduction to Quantum Field Theory with Applications to Quantum Gravity by Iosif L. Buchbinder,Ilya Shapiro Pdf

Applications of quantum field theoretical methods to gravitational physics, both in the semiclassical and the full quantum frameworks, require a careful formulation of the fundamental basis of quantum theory, with special attention to such important issues as renormalization, quantum theory of gauge theories, and especially effective action formalism. The first part of this graduate textbook provides both a conceptual and technical introduction to the theory of quantum fields. The presentation is consistent, starting from elements of group theory, classical fields, and moving on to the effective action formalism in general gauge theories. Compared to other existing books, the general formalism of renormalization in described in more detail, and special attention paid to gauge theories. This part can serve as a textbook for a one-semester introductory course in quantum field theory. In the second part, we discuss basic aspects of quantum field theory in curved space, and perturbative quantum gravity. More than half of Part II is written with a full exposition of details, and includes elaborated examples of simplest calculations. All chapters include exercises ranging from very simple ones to those requiring small original investigations. The selection of material of the second part is done using the “must-know” principle. This means we included detailed expositions of relatively simple techniques and calculations, expecting that the interested reader will be able to learn more advanced issues independently after working through the basic material, and completing the exercises.

Author : Jurg Frohlich
Publisher : World Scientific
Page : 854 pages
File Size : 49,9 Mb
Release : 1992-04-29
Category : Electronic
ISBN : 9789814506564

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Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications by Jurg Frohlich Pdf

Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Author : Ana Isabel Cardoso,Margarida de Faria,Jürgen Potthoff,Roland Sénéor,L. Streit
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401102193

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Stochastic Analysis and Applications in Physics by Ana Isabel Cardoso,Margarida de Faria,Jürgen Potthoff,Roland Sénéor,L. Streit Pdf

Proceedings of the NATO Advanced Study Institute, Funchal, Madeira, Portugal, August 6--19, 1993

Author : Luis L. Bonilla,Efthimios Kaxiras,Roderick Melnik
Publisher : Springer
Page : 314 pages
File Size : 40,8 Mb
Release : 2018-06-20
Category : Mathematics
ISBN : 9783319765990

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Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications by Luis L. Bonilla,Efthimios Kaxiras,Roderick Melnik Pdf

This volume gathers selected contributions from the participants of the Banff International Research Station (BIRS) workshop Coupled Mathematical Models for Physical and Biological Nanoscale Systems and their Applications, who explore various aspects of the analysis, modeling and applications of nanoscale systems, with a particular focus on low dimensional nanostructures and coupled mathematical models for their description. Due to the vastness, novelty and complexity of the interfaces between mathematical modeling and nanoscience and nanotechnology, many important areas in these disciplines remain largely unexplored. In their efforts to move forward, multidisciplinary research communities have come to a clear understanding that, along with experimental techniques, mathematical modeling and analysis have become crucial to the study, development and application of systems at the nanoscale. The conference, held at BIRS in autumn 2016, brought together experts from three different communities working in fields where coupled mathematical models for nanoscale and biosystems are especially relevant: mathematicians, physicists (both theorists and experimentalists), and computational scientists, including those dealing with biological nanostructures. Its objectives: summarize the state-of-the-art; identify and prioritize critical problems of major importance that require solutions; analyze existing methodologies; and explore promising approaches to addressing the challenges identified. The contributions offer up-to-date introductions to a range of topics in nano and biosystems, identify important challenges, assess current methodologies and explore promising approaches. As such, this book will benefit researchers in applied mathematics, as well as physicists and biologists interested in coupled mathematical models and their analysis for physical and biological nanoscale systems that concern applications in biotechnology and medicine, quantum information processing and optoelectronics.

Author : Andreas Wipf
Publisher : Springer Nature
Page : 568 pages
File Size : 41,5 Mb
Release : 2021-10-25
Category : Science
ISBN : 9783030832636

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Statistical Approach to Quantum Field Theory by Andreas Wipf Pdf

This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.

Author : V. Rivasseau
Publisher : Princeton University Press
Page : 347 pages
File Size : 45,8 Mb
Release : 2014-07-14
Category : Science
ISBN : 9781400862085

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From Perturbative to Constructive Renormalization by V. Rivasseau Pdf

The last decade has seen striking progress in the subject of renormalization in quantum field theory. The old subject of perturbative renormalization has been revived by the use of powerful methods such as multiscale decompositions; precise estimates have been added to the initial theorems on finiteness of renormalized perturbation theory, with new results on its large order asymptotics. Furthermore, constructive field theory has reached one of its major goals, the mathematically rigorous construction of some renormalizable quantum field theories. For these models one can in particular investigate rigorously the phenomenon of asymptotic freedom, which plays a key role in our current understanding of the interaction among elementary particles. However, until this book, there has been no pedagogical synthesis of these new developments. Vincent Rivasseau, who has been actively involved in them, now describes them for a wider audience. There are, in fact, common concepts at the heart of the progress on perturbative and constructive techniques. Exploiting these similarities, the author uses perturbative renormalization, which is the more widely known and conceptually simpler of the two cases, to explain the less familiar but more mathematically meaningful constructive renormalization. Originally published in 1991. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Zalan Horvath,Laszlo Palla
Publisher : World Scientific
Page : 471 pages
File Size : 53,5 Mb
Release : 2001-05-18
Category : Science
ISBN : 9789814490832

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Non-perturbative Qft Methods And Their Applications, Procs Of The Johns Hopkins Workshop On Current Problems In Particle Theory 24 by Zalan Horvath,Laszlo Palla Pdf

Contents:Conformal Boundary Conditions — and What They Teach Us (V B Petkova & J-B Zuber)A Physical Basis for the Entropy of the AdS3 Black Hole (S Fernando & F Mansouri)Spinon Formulation of the Kondo Problem (A Klümper & J R Reyes-Martinez)Boundary Integrable Quantum Field Theories (P Dorey)Finite Size Effects in Integrable Quantum Field Theories (F Ravanini)Nonperturbative Analysis of the Two-Frequency Sine-Gordon Model (Z Bajnok et al.)Screening in Hot SU(2) Gauge Theory and Propagators in 3D Adjoint Higgs Model (A Cucchieri et al.)Effective Average Action in Statistical Physics and Quantum Field Theory (Ch Wetterich)Phase Transitions in Non-Hermitean Matrix Models and the “Single Ring” Theorem (J Feinberg et al.)Unraveling the Mystery of Flavor (A Falk)The Nahm Transformation on R2 X T2 (C Ford)A 2D Integrable Axion Model and Target Space Duality (P Forgács)Supersymmetric Ward Identities and Chiral Symmetry Breaking in SUSY QED (M L Walker)and other papers Readership: Theoretical, mathematical and high energy physicists. Keywords:

Author : V E Herscovitz,Erasmo Ferreira,Cesar Augusto Zen Vasconcellos
Publisher : World Scientific
Page : 398 pages
File Size : 43,8 Mb
Release : 1995-05-31
Category : Electronic
ISBN : 9789814549509

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Hadron Physics 94: Topics On The Structure And Interaction Of Hadronic Systems by V E Herscovitz,Erasmo Ferreira,Cesar Augusto Zen Vasconcellos Pdf

This volume, which is a compilation of lecture notes, seminar talks and contributed material presented at the above conference, discusses the modern approaches to hadronic physics: chiral perturbation theory, effective Lagrangians, models for hadronic structure and nuclear matter properties, method of light front quantization, etc. The lecture notes provide comprehensive pedagogical descriptions of methods and achievements in the corresponding topics, while the seminar talks review recent selected frontier work. The various contributions cover a wide spectrum of research problems in hadronic physics.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 42,8 Mb
Release : 2024-05-20
Category : Electronic
ISBN : 9789814470735

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Thermal Quantum Field Theory by Anonim Pdf

Author : Hung-the Diep
Publisher : World Scientific Publishing Company
Page : 440 pages
File Size : 54,9 Mb
Release : 2013-12-24
Category : Science
ISBN : 9789814569965

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Theory Of Magnetism: Application To Surface Physics by Hung-the Diep Pdf

The book is intended for graduate students and researchers who wish to master the main properties of magnetic materials in the bulk state and at the nanometric scale such as for thin films and multilayers. This textbook provides the theories and methods of simulation to study and to understand these properties in an explicit manner.In the first part of the book, the quantum theory of magnetism is presented while the second part of the book is devoted to the application of the theory of magnetism to surface physics. Numerous examples covering typical cases in ferromagnets, antiferromagnets, ferrimagnets, helimagnets, and frustrated spin systems are all illustrated. Fundamental surface effects are shown and discussed. Lastly, the spin transport is described — in which the basic formulation of the Boltzmann's equation is recalled — and the recent methods of Monte Carlo simulation to deal with the spin resistivity are explained.This book contains a large number of detailed solutions for the problems given in each chapter to help readers discover new related phenomena and applications, as well as an appendix on elements of statistical physics included at the end to make the book self-contained.