Renormalization Group And Effective Field Theory Approaches To Many Body Systems

Author : Achim Schwenk,Janos Polonyi
Publisher : Springer
Page : 348 pages
File Size : 43,6 Mb
Release : 2012-06-26
Category : Science
ISBN : 3642273211

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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 : Achim Schwenk,Janos Polonyi
Publisher : Springer
Page : 356 pages
File Size : 52,7 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 : Xiao-Gang Wen
Publisher : OUP Oxford
Page : 520 pages
File Size : 49,9 Mb
Release : 2004-06-04
Category : Science
ISBN : 9780191523960

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Quantum Field Theory of Many-Body Systems by Xiao-Gang Wen Pdf

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Author : Xiao-Gang Wen
Publisher : Oxford University Press
Page : 520 pages
File Size : 46,7 Mb
Release : 2004-06-03
Category : Science
ISBN : 9780198530947

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Quantum Field Theory of Many-Body Systems by Xiao-Gang Wen Pdf

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons andfermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods(which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phasetransitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group,bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matterphysics.

Author : Malo Tarpin
Publisher : Springer Nature
Page : 217 pages
File Size : 44,5 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 : Andreas Wipf
Publisher : Springer Nature
Page : 568 pages
File Size : 50,6 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 : C. P. Burgess
Publisher : Cambridge University Press
Page : 665 pages
File Size : 50,8 Mb
Release : 2020-12-10
Category : Science
ISBN : 9780521195478

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Introduction to Effective Field Theory by C. P. Burgess Pdf

This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.

Author : Martin Reuter,Frank Saueressig
Publisher : Cambridge University Press
Page : 357 pages
File Size : 40,8 Mb
Release : 2019-01-03
Category : Science
ISBN : 9781107107328

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Quantum Gravity and the Functional Renormalization Group by Martin Reuter,Frank Saueressig Pdf

A self-contained pedagogical introduction to asymptotic safety and the functional renormalization group in quantum gravity, for graduate students and researchers.

Author : Yurij Holovatch
Publisher : World Scientific
Page : 294 pages
File Size : 47,5 Mb
Release : 2020-06-22
Category : Science
ISBN : 9789811216237

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Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6 by Yurij Holovatch Pdf

This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As for the previous volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the topic.The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.

Author : Frédéric Paugam
Publisher : Springer Science & Business Media
Page : 485 pages
File Size : 50,5 Mb
Release : 2014-02-20
Category : Science
ISBN : 9783319045641

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Towards the Mathematics of Quantum Field Theory by Frédéric Paugam Pdf

This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use. This in turn promotes the interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, though mathematicians are the primary target. This reference work provides a coherent and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications to general gauge theories. The second part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the third part provides an introduction to quantum field theory, presents various renormalization methods, and discusses the quantization of factorization algebras.

Author : Jordi Boronat
Publisher : World Scientific
Page : 458 pages
File Size : 46,8 Mb
Release : 2008
Category : Science
ISBN : 9789812779885

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Recent Progress in Many-body Theories by Jordi Boronat Pdf

This volume contains the main contributions to the 14th International Conference on Recent Progress in Many-Body Theories (RPMBT14) held at the Technical University of Catalonia, Spain, in July 2007. This conference, which was first held in Trieste in 1979, is devoted to new developments in the field of many-body theories, which are being applied and developed in a rapidly growing number of fields. The emphasis is twofold: progress in the technical aspects of microscopic theories and a review of recent applications of many-body techniques. In addition to the more traditional topics, such as nuclear physics and quantum liquids, the present volume also includes the most recent results on atomic physics, cold Bose and Fermi gases, phase transitions and quantum information. Moreover, the volume contains the lectures of the winners of the 2007 Feenberg Medal and 2007 Kuemmel Award, as well as their laudatios.

Author : Porter Williams
Publisher : Cambridge University Press
Page : 99 pages
File Size : 40,7 Mb
Release : 2023-07-31
Category : Philosophy
ISBN : 9781009205412

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Philosophy of Particle Physics by Porter Williams Pdf

This Element offers an introduction to selected philosophical issues that arise in contemporary particle physics, aimed at philosophers who have limited prior exposure to quantum field theory. One the one hand, it critically surveys philosophical work on the representation of particles in quantum field theory, the formal machinery and conceptual implications of renormalization and renormalization group methods, and ontological and methodological questions raised by the use of effective field theory techniques in particle physics. On the other, it identifies topics in particle physics that have not yet received philosophical attention and sketches avenues for philosophical analysis of those topics. The primary aim of the Element is to provide philosophers of physics with an entry point into the literature on the philosophy of particle physics and identify interesting directions for future research for students and researchers alike.

Author : Luigi Coraggio,Saori Pastore,Carlo Barbieri
Publisher : Frontiers Media SA
Page : 209 pages
File Size : 46,7 Mb
Release : 2021-03-10
Category : Science
ISBN : 9782889665853

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The Future of Nuclear Structure: Challenges and Opportunities in the Microscopic Description of Nuclei by Luigi Coraggio,Saori Pastore,Carlo Barbieri Pdf

Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 41,9 Mb
Release : 2010-03-11
Category : Science
ISBN : 9780521769754

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Condensed Matter Field Theory by Alexander Altland,Ben D. Simons Pdf

This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Author : Morten Hjorth-Jensen,Maria Paola Lombardo,Ubirajara van Kolck
Publisher : Springer
Page : 644 pages
File Size : 51,6 Mb
Release : 2017-05-09
Category : Science
ISBN : 9783319533360

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An Advanced Course in Computational Nuclear Physics by Morten Hjorth-Jensen,Maria Paola Lombardo,Ubirajara van Kolck Pdf

This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem. Starting from our current understanding of the underlying forces, it presents recent advances within the field of lattice quantum chromodynamics before going on to discuss effective field theories, central many-body methods like Monte Carlo methods, coupled cluster theories, the similarity renormalization group approach, Green’s function methods and large-scale diagonalization approaches. Algorithmic and computational advances show particular promise for breakthroughs in predictive power, including proper error estimates, a better understanding of the underlying effective degrees of freedom and of the respective forces at play. Enabled by recent improvements in theoretical, experimental and numerical techniques, the state-of-the art applications considered in this volume span the entire range, from our smallest components – quarks and gluons as the mediators of the strong force – to the computation of the equation of state for neutron star matter. The lectures presented provide an in-depth exposition of the underlying theoretical and algorithmic approaches as well details of the numerical implementation of the methods discussed. Several also include links to numerical software and benchmark calculations, which readers can use to develop their own programs for tackling challenging nuclear many-body problems.