Non Perturbative Renormalization

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Non-perturbative Renormalization

Mastropietro Vieri
Non perturbative Renormalization Book PDF

Author : Mastropietro Vieri
Publisher : World Scientific
Page : 304 pages
File Size : 47,5 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.

Non-perturbative Renormalization

Vieri Mastropietro
Non perturbative Renormalization Book PDF

Author : Vieri Mastropietro
Publisher : World Scientific
Page : 303 pages
File Size : 47,7 Mb
Release : 2008
Category : Science
ISBN : 9789812792402

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Non-perturbative Renormalization by Vieri Mastropietro Pdf

Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models.

Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems

Malo Tarpin
Non perturbative Renormalization Group Approach to Some Out of Equilibrium Systems Book PDF

Author : Malo Tarpin
Publisher : Springer Nature
Page : 217 pages
File Size : 47,7 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.

Aspects of Non-perturbative Renormalization

István Nándori
Aspects of Non perturbative Renormalization Book PDF

Author : István Nándori
Publisher : Unknown
Page : 99 pages
File Size : 43,9 Mb
Release : 2002
Category : Electronic
ISBN : OCLC:249573628

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Aspects of Non-perturbative Renormalization by István Nándori Pdf

Renormalization Group and Effective Field Theory Approaches to Many-Body Systems

Achim Schwenk,Janos Polonyi
Renormalization Group and Effective Field Theory Approaches to Many Body Systems Book PDF

Author : Achim Schwenk,Janos Polonyi
Publisher : Springer
Page : 348 pages
File Size : 49,7 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.

From Perturbative to Constructive Renormalization

V. Rivasseau
From Perturbative to Constructive Renormalization Book PDF

Author : V. Rivasseau
Publisher : Princeton University Press
Page : 347 pages
File Size : 41,9 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.

Nonperturbative Quantum Field Theory

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

Author : G. Hooft,A. Jaffe,G. Mack,P.K. Mitter,R. Stora
Publisher : Springer Science & Business Media
Page : 603 pages
File Size : 52,9 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.

Renormalization Group and Pade Applications to Perturbative and Non-perturbative Quantum Field Theory [microform]

Farrukh Ahmed Chishtie
Renormalization Group and Pade Applications to Perturbative and Non perturbative Quantum Field Theory microform Book PDF

Author : Farrukh Ahmed Chishtie
Publisher : National Library of Canada = Bibliothèque nationale du Canada
Page : 326 pages
File Size : 44,6 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).

An Introduction to Non-Perturbative Foundations of Quantum Field Theory

Franco Strocchi
An Introduction to Non Perturbative Foundations of Quantum Field Theory Book PDF

Author : Franco Strocchi
Publisher : Oxford University Press
Page : 270 pages
File Size : 49,6 Mb
Release : 2013-02-14
Category : Science
ISBN : 9780199671571

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An Introduction to Non-Perturbative Foundations of Quantum Field Theory by Franco Strocchi Pdf

The book discusses fundamental aspects of Quantum Field Theory and of Gauge theories, with attention to mathematical consistency. Basic issues of the standard model of elementary particles (Higgs mechanism and chiral symmetry breaking in quantum Chromodynamics) are treated without relying on the perturbative expansion and on instanton calculus.

Non-perturbative Methods in 2 Dimensional Quantum Field Theory

Elcio Abdalla,M. Cristina B. Abdalla,Klaus Dieter Rothe
Non perturbative Methods in 2 Dimensional Quantum Field Theory Book PDF

Author : Elcio Abdalla,M. Cristina B. Abdalla,Klaus Dieter Rothe
Publisher : World Scientific
Page : 834 pages
File Size : 44,8 Mb
Release : 2001
Category : Science
ISBN : 9789810245962

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Non-perturbative Methods in 2 Dimensional Quantum Field Theory by Elcio Abdalla,M. Cristina B. Abdalla,Klaus Dieter Rothe Pdf

The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings.This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory.

Renormalization Group and Fixed Points

Timothy J Hollowood
Renormalization Group and Fixed Points Book PDF

Author : Timothy J Hollowood
Publisher : Springer Science & Business Media
Page : 70 pages
File Size : 45,7 Mb
Release : 2013-03-28
Category : Science
ISBN : 9783642363122

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Renormalization Group and Fixed Points by Timothy J Hollowood Pdf

This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. Emphasis is placed on gaining a physical understanding of the running of the couplings. The Wilsonian version of the renormalization group is related to conventional perturbative calculations with dimensional regularization and minimal subtraction. An introduction is given to some of the remarkable renormalization group properties of supersymmetric theories.