Boulevard Of Broken Symmetries: Effective Field Theories Of Condensed Matter

Boulevard Of Broken Symmetries: Effective Field Theories Of Condensed Matter

Author: Adriaan M J Schakel

Publisher: World Scientific Publishing Company

Published: 2008-10-28

Total Pages: 413

ISBN-13: 9813107197

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This textbook covers the main topics in contemporary condensed matter physics in a modern and unified way, using quantum field theory in the functional-integral approach. The book highlights symmetry aspects in acknowledging that much of the collective behaviors of condensed matter systems at low temperatures emerge above a nontrivial ground state, which spontaneously breaks the symmetry.The emphasis is on effective field theories which provide an efficient and powerful description that is valid at long wavelengths and low frequencies. In conjunction with the emphasis on effective theories, a modern approach towards renormalization is taken, whereby a wavenumber cut-off is introduced to set a scale beyond which the microscopic model under consideration ceases to be valid.The unique and innovative character of this presentation, free of historical constraints, allows for a compact and self-contained treatment of the main topics in contemporary condensed matter physics.


The Oxford Handbook of Philosophy of Physics

The Oxford Handbook of Philosophy of Physics

Author: Robert W. Batterman

Publisher: Oxford University Press

Published: 2013-01-04

Total Pages: 701

ISBN-13: 0199908354

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This Oxford Handbook provides an overview of many of the topics that currently engage philosophers of physics. It surveys new issues and the problems that have become a focus of attention in recent years. It also provides up-to-date discussions of the still very important problems that dominated the field in the past. In the late 20th Century, the philosophy of physics was largely focused on orthodox Quantum Mechanics and Relativity Theory. The measurement problem, the question of the possibility of hidden variables, and the nature of quantum locality dominated the literature on the quantum mechanics, whereas questions about relationalism vs. substantivalism, and issues about underdetermination of theories dominated the literature on spacetime. These issues still receive considerable attention from philosophers, but many have shifted their attentions to other questions related to quantum mechanics and to spacetime theories. Quantum field theory has become a major focus, particularly from the point of view of algebraic foundations. Concurrent with these trends, there has been a focus on understanding gauge invariance and symmetries. The philosophy of physics has evolved even further in recent years with attention being paid to theories that, for the most part, were largely ignored in the past. For example, the relationship between thermodynamics and statistical mechanics---once thought to be a paradigm instance of unproblematic theory reduction---is now a hotly debated topic. The implicit, and sometimes explicit, reductionist methodology of both philosophers and physicists has been severely criticized and attention has now turned to the explanatory and descriptive roles of "non-fundamental,'' phenomenological theories. This shift of attention includes "old'' theories such as classical mechanics, once deemed to be of little philosophical interest. Furthermore, some philosophers have become more interested in "less fundamental'' contemporary physics such as condensed matter theory. Questions abound with implications for the nature of models, idealizations, and explanation in physics. This Handbook showcases all these aspects of this complex and dynamic discipline.


Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions

Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions

Author: Yuriy M. Bunkov

Publisher: Springer Science & Business Media

Published: 2000-02-29

Total Pages: 406

ISBN-13: 9780792362043

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Topological defects formed at symmetry-breaking phase transitions play an important role in many different fields of physics. They appear in many condensed-matter systems at low temperature; examples include vortices in superfluid helium-4, a rich variety of defects in helium-3, quantized mag netic flux tubes in type-II superconductors, and disclination lines and other defects in liquid crystals. In cosmology, unified gauge theories of particle interactions suggest a sequence of phase transitions in the very early uni verse some of which may lead to defect formation. In astrophysics, defects play an important role in the dynamics of neutron stars. In 1997 the European Science Foundation started the scientific network "Topological defects" headed by Tom Kibble. This network has provided us with a unique opportunity of establishing a collaboration between the representatives of these very different branches of modern physics. The NATO-ASI (Advanced Study Institute), held in Les Houches in February 1999 thanks to the support of the Scientific Division of NATO, the European Science Foundation and the CNRS, represents a key event of this ESF network. It brought together participants from widely different fields, with diverse expertise and vocabulary, fostering the exchange of ideas. The lectures given by particle physicists, cosmologists and condensed matter physicists are the result of the fruitful collaborations established since 1997 between groups in several European countries and in the U.S.A.


Introduction to Effective Field Theory

Introduction to Effective Field Theory

Author: C. P. Burgess

Publisher: Cambridge University Press

Published: 2020-12-10

Total Pages: 665

ISBN-13: 0521195470

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


Quantum Field Theory and Condensed Matter

Quantum Field Theory and Condensed Matter

Author: Ramamurti Shankar

Publisher: Cambridge University Press

Published: 2017-08-31

Total Pages: 557

ISBN-13: 1108363989

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Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.


Holographic Duality in Condensed Matter Physics

Holographic Duality in Condensed Matter Physics

Author: Jan Zaanen

Publisher: Cambridge University Press

Published: 2015-11-05

Total Pages: 587

ISBN-13: 1107080088

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A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.


Multivalued Fields in Condensed Matter, Electromagnetism, and Gravitation

Multivalued Fields in Condensed Matter, Electromagnetism, and Gravitation

Author: Hagen Kleinert

Publisher: World Scientific

Published: 2008

Total Pages: 522

ISBN-13: 9812791701

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This book lays the foundations of the theory of fluctuating multivalued fields with numerous applications. Most prominent among these are phenomena dominated by the statistical mechanics of line-like objects, such as the phase transitions in superfluids and superconductors as well as the melting process of crystals, and the electromagnetic potential as a multivalued field that can produce a condensate of magnetic monopoles. In addition, multivalued mappings play a crucial role in deriving the physical laws of matter coupled to gauge fields and gravity with torsion from the laws of free matter. Through careful analysis of each of these applications, the book thus provides students and researchers with supplementary reading material for graduate courses on phase transitions, quantum field theory, gravitational physics, and differential geometry.


Lecture Notes on Field Theory in Condensed Matter Physics

Lecture Notes on Field Theory in Condensed Matter Physics

Author: Christopher Mudry

Publisher: World Scientific Publishing Company

Published: 2014

Total Pages: 0

ISBN-13: 9789814449106

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The aim of this book is to introduce a graduate student to selected concepts in condensed matter physics for which the language of field theory is ideally suited. The examples considered in this book are those of superfluidity for weakly interacting bosons, collinear magnetism, and superconductivity. Quantum phase transitions are also treated in the context of quantum dissipative junctions and interacting fermions constrained to one-dimensional position space. The style of presentation is sufficiently detailed and comprehensive that it only presumes familiarity with undergraduate physics.


An Introduction To Quantum Field Theory

An Introduction To Quantum Field Theory

Author: Michael E. Peskin

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 865

ISBN-13: 0429972105

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An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.


From Fields To Strings: Circumnavigating Theoretical Physics: Ian Kogan Memorial Collection (In 3 Vols)

From Fields To Strings: Circumnavigating Theoretical Physics: Ian Kogan Memorial Collection (In 3 Vols)

Author: Shifman Misha

Publisher: World Scientific

Published: 2005-02-03

Total Pages: 2388

ISBN-13: 9814482048

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This volume is a collection of dedicated reviews covering all aspects of theoretical high energy physics and some aspects of solid state physics. Some of the papers are broad reviews of topics that span the entire field while others are surveys of authors' personal achievements. This is the most comprehensive review collection reflecting state of the art at the end of 2004. An important and unique aspect is a special effort the authors have invested in making the presentation pedagogical.