Non Perturbative Renormalization On The Lattice

Author : Mastropietro Vieri
Publisher : World Scientific
Page : 304 pages
File Size : 43,8 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 : Vieri Mastropietro
Publisher : World Scientific
Page : 303 pages
File Size : 50,8 Mb
Release : 2008
Category : Science
ISBN : 9789812792396

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Non-perturbative Renormalization by Vieri Mastropietro 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 : Xiang-Qian Luo,Eric B. Gregory
Publisher : World Scientific
Page : 320 pages
File Size : 40,9 Mb
Release : 2001
Category : Science
ISBN : 9789810245955

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Non-perturbative Methods and Lattice QCD by Xiang-Qian Luo,Eric B. Gregory Pdf

Lattice field theory is the most reliable tool for investigating non-perturbative phenomena in particle physics. It has also become a cross-discipline, overlapping with other physical sciences and computer science. This book covers new developments in the area of algorithms, statistical physics, parallel computers and quantum computation, as well as recent advances concerning the standard model and beyond, the QCD vacuum, the glueball, hadron and quark masses, finite temperature and density, chiral fermions, SUSY, and heavy quark effective theory.

Author : Yongmin Cho,Miguel Angel Virasoro
Publisher : World Scientific
Page : 416 pages
File Size : 41,9 Mb
Release : 1998-09-28
Category : Science
ISBN : 9789814544542

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Recent Developments In Nonperturbative Quantum Field Theory: Proceedings Of The Apctp-ictp Joint International Conf by Yongmin Cho,Miguel Angel Virasoro Pdf

Author : V. Rivasseau
Publisher : Princeton University Press
Page : 347 pages
File Size : 47,6 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 : Malo Tarpin
Publisher : Springer Nature
Page : 217 pages
File Size : 55,9 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 : Achim Schwenk,Janos Polonyi
Publisher : Springer
Page : 348 pages
File Size : 46,7 Mb
Release : 2012-06-25
Category : Science
ISBN : 9783642273209

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Renormalization Group and Effective Field Theory Approaches to Many-Body Systems by Achim Schwenk,Janos Polonyi Pdf

There have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics. These powerful and versatile methods provide novel approaches to study complex and strongly interacting many-body systems in a controlled manner. The six extensive lectures gathered in this volume combine selected introductory and interdisciplinary presentations focused on recent applications of effective field theory and the renormalization group to many-body problems in such diverse fields as BEC, DFT, extreme matter, Fermi-liquid theory and gauge theories. Primarily aimed at graduate students and junior researchers, they offer an opportunity to explore fundamental physics across subfield boundaries at an early stage in their careers.

Author : Eric B Gregory,Xiang Qian Luo
Publisher : World Scientific
Page : 320 pages
File Size : 45,5 Mb
Release : 2001-04-30
Category : Science
ISBN : 9789814491235

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Non-perturbative Methods And Lattice Qcd, Procs Of The Intl Workshop by Eric B Gregory,Xiang Qian Luo Pdf

Lattice field theory is the most reliable tool for investigating non-perturbative phenomena in particle physics. It has also become a cross-discipline, overlapping with other physical sciences and computer science. This book covers new developments in the area of algorithms, statistical physics, parallel computers and quantum computation, as well as recent advances concerning the standard model and beyond, the QCD vacuum, the glueball, hadron and quark masses, finite temperature and density, chiral fermions, SUSY, and heavy quark effective theory.

Author : Herwig Schopper
Publisher : Springer Nature
Page : 632 pages
File Size : 43,5 Mb
Release : 2020
Category : Elementary particles (Physics)
ISBN : 9783030382070

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Particle Physics Reference Library by Herwig Schopper Pdf

This first open access volume of the handbook series contains articles on the standard model of particle physics, both from the theoretical and experimental perspective. It also covers related topics, such as heavy-ion physics, neutrino physics and searches for new physics beyond the standard model. A joint CERN-Springer initiative, the "Particle Physics Reference Library" provides revised and updated contributions based on previously published material in the well-known Landolt-Boernstein series on particle physics, accelerators and detectors (volumes 21A, B1,B2,C), which took stock of the field approximately one decade ago. Central to this new initiative is publication under full open access

Author : Alexei Prokudin,Yoshitaka Hatta,Yuri Kovchegov,Cyrille Marquet
Publisher : World Scientific
Page : 344 pages
File Size : 54,7 Mb
Release : 2020-05-29
Category : Science
ISBN : 9789811214967

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Probing Nucleons And Nuclei In High Energy Collisions - Proceedings Of The Int Program Int-18-3 by Alexei Prokudin,Yoshitaka Hatta,Yuri Kovchegov,Cyrille Marquet Pdf

This book contains proceedings of the 7-week INT program dedicated to the physics of the Electron-Ion Collider (EIC), the world's first polarized electron-nucleon (ep) and electron-nucleus (eA) collider to be constructed in the United States. The 2015 NSAC Long Range Plan recommended EIC as the 'highest priority for new facility construction following the completion of FRIB'. The primary goal of the EIC is to establish precise multi-dimensional imaging of quarks and gluons inside nucleons and nuclei. This includes (i) understanding the spatial and momentum space structure of the nucleon through the studies of TMDs (transverse-momentum-dependent parton distributions), GPD (generalized parton distributions) and the Wigner distribution; (ii) determining the partonic origin of the nucleon spin; (iii) exploring the new quantum chromodynamics (QCD) frontier of ultra-strong gluon fields, with the potential to seal the discovery of a new form of dense gluon matter predicted to exist in all nuclei and nucleons at small Bjorken x — the parton saturation.The program brought together both theorists and experimentalists from Jefferson Lab (JLab), Brookhaven National Laboratory (BNL) along with the national and international nuclear physics communities to assess and advance the EIC physics.

Author : Laurent Lellouch,Rainer Sommer,Benjamin Svetitsky,Anastassios Vladikas,Leticia F. Cugliandolo
Publisher : OUP Oxford
Page : 760 pages
File Size : 41,9 Mb
Release : 2011-08-25
Category : Science
ISBN : 9780191621840

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Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing by Laurent Lellouch,Rainer Sommer,Benjamin Svetitsky,Anastassios Vladikas,Leticia F. Cugliandolo Pdf

The book is based on the lectures delivered at the XCIII Session of the École de Physique des Houches, held in August, 2009. The aim of the event was to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations. The emphasis of the book is on the theoretical developments that have shaped the field in the last two decades and that have turned lattice gauge theory into a robust approach to the determination of low energy hadronic quantities and of fundamental parameters of the Standard Model. By way of introduction, the lectures begin by covering lattice theory basics, lattice renormalization and improvement, and the many faces of chirality. A later course introduces QCD at finite temperature and density. A broad view of lattice computation from the basics to recent developments was offered in a corresponding course. Extrapolations to physical quark masses and a framework for the parameterization of the low-energy physics by means of effective coupling constants is covered in a lecture on chiral perturbation theory. Heavy-quark effective theories, an essential tool for performing the relevant lattice calculations, is covered from its basics to recent advances. A number of shorter courses round out the book and broaden its purview. These included recent applications to the nucleon—nucleon interation and a course on physics beyond the Standard Model.

Author : Maurice Lévy,Jean Liopoulos,Raymond Gastmans,Jean-Marc Gérard
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 50,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781489902429

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Masses of Fundamental Particles by Maurice Lévy,Jean Liopoulos,Raymond Gastmans,Jean-Marc Gérard Pdf

Proceedings of a NATO ASI held in Cargèse, France, August 5-17, 1996

Author : G. Hooft,A. Jaffe,G. Mack,P.K. Mitter,R. Stora
Publisher : Springer Science & Business Media
Page : 603 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461307297

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Nonperturbative Quantum Field Theory by G. Hooft,A. Jaffe,G. Mack,P.K. Mitter,R. Stora Pdf

During the past 15 years, quantum field theory and classical statistical mechanics have merged into a single field, and the need for nonperturbative methods for the description of critical phenomena in statistical mechanics as well as for problems in elementary particle physics are generally acknowledged. Such methods formed the central theme of the 1987 Cargese Advanced Study Institut. e on "Nonpert. urbat. ive Quantum Field Theory." The use of conformal symmet. ry has been of central interest in recent years, and was a main subject at. t. he ASI. Conformal invariant quantum field theory describes statistical mechanical systems exactly at a critical point, and can be analysed to a remarkable ext. ent. by group t. heoretical methods. Very strong results have been obtained for 2-dimensional systems. Conformal field theory is also the basis of string theory, which offers some hope of providing a unified t. heory of all interactions between elementary particles. Accordingly, a number of lectures and seminars were presented on these two topics. After syst. ematic introductory lectures, conformal field theory on Riemann surfaces, orbifolds, sigma models, and application of loop group theory and Grassmannians were discussed, and some ideas on modular geometry were presented. Other lectures combined' traditional techniques of constructive quant. um field theory with new methods such as the use of index-t. heorems and infinite dimensional (Kac Moody) symmetry groups. The problems encountered in a quantum mechanical description of black holes were discussed in detail.

Author : Albert De Roeck,Albrecht Wagner
Publisher : World Scientific
Page : 778 pages
File Size : 48,6 Mb
Release : 1998-07-22
Category : Electronic
ISBN : 9789814545129

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Lepton-photon Interactions, Lp'97 - Proceedings Of The Xviii International Symposium by Albert De Roeck,Albrecht Wagner Pdf

This book constitutes the proceedings of the XVIII International Symposium on Lepton-Photon Interactions. It contains 30 review papers on the latest developments by experts in the field. The subjects cover the structure of photons and hadrons, progress in QCD and diffraction, heavy quark (c, b, t) physics, electroweak precision measurements and tests, CP violation, neutrino physics, searches for new particles and phenomena, cosmology, progress in theory and physics at future colliders.

Author : Carl Carlson
Publisher : World Scientific
Page : 787 pages
File Size : 43,7 Mb
Release : 1997
Category : Nuclear physics
ISBN : 9789814530231

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Particles and Nuclei by Carl Carlson Pdf

"This book is devoted to phenomena that are of interest to both particle and nuclear physicists. The topics include nucleon structure (including spin structure), electron, neutrino, and hadron scattering from nucleons and nuclei, strange matter, the standard model, theory of nucleons and nuclei from both the QCD and nucleon-meson viewpoints, new experimental techniques, and new facilities."--Publisher's website.