Effective Field Theory for Spontaneously Broken Symmetry

Effective Field Theory for Spontaneously Broken Symmetry PDF Author: Tomáš Brauner
Publisher: Springer Nature
ISBN: 3031483782
Category :
Languages : en
Pages : 433

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Book Description

Effective Field Theory for Spontaneously Broken Symmetry

Effective Field Theory for Spontaneously Broken Symmetry PDF Author: Tomáš Brauner
Publisher: Springer Nature
ISBN: 3031483782
Category :
Languages : en
Pages : 433

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Book Description


Boulevard of Broken Symmetries

Boulevard of Broken Symmetries PDF Author: Adriaan M. J. Schakel
Publisher: World Scientific
ISBN: 981281390X
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.

Dynamical Symmetry Breaking In Quantum Field Theories

Dynamical Symmetry Breaking In Quantum Field Theories PDF Author: Vladimir A Miransky
Publisher: World Scientific
ISBN: 9814502669
Category : Science
Languages : en
Pages : 552

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Book Description
The phenomenon of dynamical symmetry breaking (DSB) in quantum field theory is discussed in a detailed and comprehensive way. The deep connection between this phenomenon in condensed matter physics and particle physics is emphasized. The realizations of DSB in such realistic theories as quantum chromodynamics and electroweak theory are considered. Issues intimately connected with DSB such as critical phenomenona and effective lagrangian approach are also discussed.

Introduction to Effective Field Theory

Introduction to Effective Field Theory PDF Author: C. P. Burgess
Publisher: Cambridge University Press
ISBN: 0521195470
Category : Science
Languages : en
Pages : 665

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

Symmetries and Symmetry Breaking in Field Theory

Symmetries and Symmetry Breaking in Field Theory PDF Author: Parthasarathi Mitra
Publisher: CRC Press
ISBN: 1466581042
Category : Science
Languages : en
Pages : 115

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Book Description
Many courses on modern quantum field theory focus on the formulation and application of field theory, leaving topics related to symmetry underdeveloped. This leads to students often having an incomplete understanding of symmetries. Filling this gap, Symmetries and Symmetry Breaking in Field Theory sheds light on various aspects of symmetry in field theory. The book presents a broad selection of important topics, including constraint theory, generalized Pauli–Villars regularization, the measure approach to anomalies, zeta function regularization, and anomalous gauge theories. The author explains how some classical symmetries are broken by anomalies and how other symmetries of the theory are spontaneously broken. He discusses all of the ideas in as simple a way as possible.

Boulevard of Broken Symmetries

Boulevard of Broken Symmetries PDF Author: Adriaan M J Schakel
Publisher: World Scientific Publishing Company
ISBN: 9813107197
Category : Science
Languages : en
Pages : 412

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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.

Dynamical Gauge Symmetry Breaking

Dynamical Gauge Symmetry Breaking PDF Author: Edward Farhi
Publisher: World Scientific
ISBN: 9789971950248
Category : Science
Languages : en
Pages : 432

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Book Description
This book is a collection of original papers on dynamical gauge symmetry breaking, and is intended for graduate students and researchers in theoretical physics (elementary particle physics and others) who have an understanding of basic quantum field theory. The book can serve as a research text for those requiring an introduction to dynamical gauge symmetry breaking and as a reference text for active researchers. The important papers in the field that are included deal with attempts to apply the ideas to realistic models of elementary particle interactions. A historical critique by the editors provides an introductory review.

Introduction to Effective Field Theory

Introduction to Effective Field Theory PDF Author: C. P. Burgess
Publisher: Cambridge University Press
ISBN: 1108915892
Category : Science
Languages : en
Pages : 665

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Book Description
Using examples from across the sub-disciplines of physics, this introduction shows why effective field theories are the language in which physical laws are written. The tools of effective field theory are demonstrated using worked examples from areas including particle, nuclear, atomic, condensed matter and gravitational physics. To bring the subject within reach of scientists with a wide variety of backgrounds and interests, there are clear physical explanations, rigorous derivations, and extensive appendices on background material, such as quantum field theory. Starting from undergraduate-level quantum mechanics, the book gets to state-of-the-art calculations using both relativistic and nonrelativistic few-body and many-body examples, and numerous end-of-chapter problems derive classic results not covered in the main text. Graduate students and researchers in particle physics, condensed matter physics, nuclear physics, string theory, and mathematical physics more generally, will find this book ideal for both self-study and for organized courses on effective field theory.

Galileo Unbound

Galileo Unbound PDF Author: David D. Nolte
Publisher: Oxford University Press
ISBN: 0192528505
Category : Science
Languages : en
Pages : 384

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Book Description
Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Unitary Symmetry and Elementary Particles

Unitary Symmetry and Elementary Particles PDF Author: D. B. Lichtenberg
Publisher: Academic Press
ISBN: 1483266265
Category : Science
Languages : en
Pages : 263

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Book Description
Unitary Symmetry and Elementary Particles discusses the role of symmetry in elementary particle physics. The book reviews the theory of abstract groups and group representations including Eigenstates, cosets, conjugate classes, unitary vector spaces, unitary representations, multiplets, and conservation laws. The text also explains the concept of Young Diagrams or Young Tableaux to prove the basis functions of the unitary irreducible representations of the unitary group SU(n). The book defines Lie groups, Lie algebras, and gives some examples of these groups. The basis vectors of irreducible unitary representations of Lie groups constitute a multiplet, which according to Racah (1965) and Behrends et al. (1962) can have properties of weights. The text also explains the properties of Clebsch-Gordan coefficients and the Wigner-Eckart theorem. SU(3) multiplets have members classified as hadrons (strongly interacting particles), of which one characteristic show that the mass differences of these members have some regular properties. The Gell-Mann and Ne-eman postulate also explains another characteristic peculiar to known multiplets. The book describes the quark model, as well as, the uses of the variants of the quark model. This collection is suitable for researchers and scientists in the field of applied mathematics, nuclear physics, and quantum mechanics.