Boulevard Of Broken Symmetries: Effective Field Theories Of Condensed Matter

Boulevard Of Broken Symmetries: Effective Field Theories Of Condensed Matter PDF Author: Adriaan M J Schakel
Publisher: World Scientific Publishing Company
ISBN: 9813107197
Category : Science
Languages : en
Pages : 413

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Book Description
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.

Boulevard Of Broken Symmetries: Effective Field Theories Of Condensed Matter

Boulevard Of Broken Symmetries: Effective Field Theories Of Condensed Matter PDF Author: Adriaan M J Schakel
Publisher: World Scientific Publishing Company
ISBN: 9813107197
Category : Science
Languages : en
Pages : 413

Get Book Here

Book Description
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 PDF Author: Robert W. Batterman
Publisher: Oxford University Press
ISBN: 0199908354
Category : Science
Languages : en
Pages : 701

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Book Description
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 PDF Author: Yuriy M. Bunkov
Publisher: Springer Science & Business Media
ISBN: 9780792362043
Category : Science
Languages : en
Pages : 406

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Book Description
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.

Multivalued Fields in Condensed Matter, Electromagnetism, and Gravitation

Multivalued Fields in Condensed Matter, Electromagnetism, and Gravitation PDF Author: Hagen Kleinert
Publisher: World Scientific
ISBN: 9812791701
Category : Science
Languages : en
Pages : 522

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Book Description
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.

Introduction To Modern Methods Of Quantum Many-body Theory And Their Applications

Introduction To Modern Methods Of Quantum Many-body Theory And Their Applications PDF Author: Adelchi Fabrocini
Publisher: World Scientific
ISBN: 9814488135
Category : Science
Languages : en
Pages : 427

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Book Description
This invaluable book contains pedagogical articles on the dominant nonstochastic methods of microscopic many-body theories — the methods of density functional theory, coupled cluster theory, and correlated basis functions — in their widest sense. Other articles introduce students to applications of these methods in front-line research, such as Bose-Einstein condensates, the nuclear many-body problem, and the dynamics of quantum liquids. These keynote articles are supplemented by experimental reviews on intimately connected topics that are of current relevance. The book addresses the striking lack of pedagogical reference literature in the field that allows researchers to acquire the requisite physical insight and technical skills. It should, therefore, provide useful reference material for a broad range of theoretical physicists in condensed-matter and nuclear theory.

Fractional Statistics and Quantum Theory

Fractional Statistics and Quantum Theory PDF Author: Avinash Khare
Publisher: World Scientific
ISBN: 9812567755
Category : Science
Languages : en
Pages : 316

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Book Description
This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics. Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas. The second part of the book includes a detailed discussion about fractional statistics from the point of view of ChernOCoSimons theories. Topics covered here include ChernOCoSimons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect. Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities."

Understanding Soft Condensed Matter Via Modeling and Computation

Understanding Soft Condensed Matter Via Modeling and Computation PDF Author: Wenbing Hu
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814295581
Category : Science
Languages : en
Pages : 367

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Book Description
Introduction. Role of modeling in soft matter physics / D. Frenkel -- 1. Applications of density functional theory in soft condensed matter / H. Lowen -- 2. Polymer phase separation / M. Muller -- 3. Self-consistent field theory of block copolymers / F. Qiu, A.-C. Shi and Y. Yang -- 4. Dynamic self-consistent field theories for polymer blends and block copolymers / T. Kawakatsu -- 5. Molecular dynamics in crystallization of helical polymers : crystal ordering and chirality selection / T. Yamamoto -- 6. Interplay of liquid-liquid demixing and polymer crystallization / W. Hu -- 7. Elucidation of single molecular observation of a giant DNA / C.-Y. Shew and K. Yoshikawa -- 8. Theoretical modeling of hydrogen bonding in macro-molecular solutions : the combination of quantum mechanics and molecular mechanics / J. Ma, N. Jiang and H. Li -- 9. Exotic electrostatics : unusual features of electrostatic interactions between macroions / A. Naji ... [et al.] -- 10. Computer modeling of liquid crystals / R. Hashim -- 11. Drop dynamics in complex fluids / J. J. Feng ... [et al.]

Scattering and Localization of Classical Waves in Random Media

Scattering and Localization of Classical Waves in Random Media PDF Author: Ping Sheng
Publisher: World Scientific
ISBN: 9789971505394
Category : Science
Languages : en
Pages : 660

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Book Description
The past decade has witnessed breakthroughs in the understanding of the wave localization phenomena and its implications for wave multiple scattering in inhomogeneous media. This book brings together review articles written by noted researchers in this field in a tutorial manner so as to give the readers a coherent picture of its status. It would be valuable both as an up-to-date reference for active researchers as well as a readable source for students looking to gain an understanding of the latest results.

Spin Glasses and Random Fields

Spin Glasses and Random Fields PDF Author: A. Peter Young
Publisher: World Scientific
ISBN: 9810232403
Category : Science
Languages : en
Pages : 454

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Book Description
The last few years have seen many developments in the study of ?frustrated? systems, such as spin glasses and random fields. In addition, the application of the idea of spin glasses to other branches of physics, such as vortex lines in high temperature superconductors, protein folding, structural glasses, and the vulcanization of rubber, has been flourishing. The earlier reviews are several years old, so now is an appropriate time to summarize the recent developments. The articles in this book have been written by leading researchers and include theoretical and experimental studies, and large-scale numerical work (using state-of-the-art algorithms designed specifically for spin-glass-type problems), as well as analytical studies.

Bosonization

Bosonization PDF Author: Michael Stone
Publisher: World Scientific
ISBN: 981450176X
Category : Science
Languages : en
Pages : 552

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Book Description
Bosonization is a useful technique for studying systems of interacting fermions in low dimensions. It has applications in both particle and condensed matter physics.This book contains reprints of papers on the method as used in these fields. The papers range from the classic work of Tomonaga in the 1950's on one-dimensional electron gases, through the discovery of fermionic solitons in the 1970's, to integrable systems and bosonization on Riemann surfaces. A four-chapter pedagogical introduction by the editor should make the book accessible to graduate students and experienced researchers alike.