Lorentz Symmetry Breaking—Classical and Quantum Aspects

Lorentz Symmetry Breaking—Classical and Quantum Aspects
Author: Tiago Mariz
Publisher: Springer Nature
Total Pages: 114
Release: 2023-01-09
Genre: Science
ISBN: 3031201205

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This book presents a review of various issues related to Lorentz symmetry breaking. Explicitly, we consider (i) motivations for introducing Lorentz symmetry breaking, (ii) classical aspects of Lorentz-breaking field theory models including typical forms of Lorentz-breaking additive terms, wave propagation in Lorentz-breaking theories, and mechanisms for breaking the Lorentz symmetry; (iii) quantum corrections in Lorentz-breaking theories, especially the possibilities for perturbation generating the most interesting Lorentz-breaking terms; (iv) correspondence between non-commutative field theories and Lorentz symmetry breaking; (v) supersymmetric Lorentz-breaking theories; and (vi) Lorentz symmetry breaking in a curved space-time. We close the book with the review of experimental studies of Lorentz symmetry breaking. The importance and relevance of these topics are explained, first, by studies of limits of applicability of the Lorentz symmetry, second, by searches of the possible extensions of the standard model, including the Lorentz-breaking ones, and need to study their properties, third, by the relation between Lorentz symmetry breaking with string theory, fourth, by the problem of formulating a consistent quantum gravity theory, so that various modified gravity models are to be examined.

Lorentz Symmetry Breaking-Classical and Quantum Aspects

Lorentz Symmetry Breaking-Classical and Quantum Aspects
Author: Tiago Mariz
Publisher:
Total Pages: 0
Release: 2022
Genre:
ISBN: 9783031201219

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This book presents a review of various issues related to Lorentz symmetry breaking. Explicitly, we consider (i) motivations for introducing Lorentz symmetry breaking, (ii) classical aspects of Lorentz-breaking field theory models including typical forms of Lorentz-breaking additive terms, wave propagation in Lorentz-breaking theories, and mechanisms for breaking the Lorentz symmetry; (iii) quantum corrections in Lorentz-breaking theories, especially the possibilities for perturbation generating the most interesting Lorentz-breaking terms; (iv) correspondence between non-commutative field theories and Lorentz symmetry breaking; (v) supersymmetric Lorentz-breaking theories; and (vi) Lorentz symmetry breaking in a curved space-time. We close the book with the review of experimental studies of Lorentz symmetry breaking. The importance and relevance of these topics are explained, first, by studies of limits of applicability of the Lorentz symmetry, second, by searches of the possible extensions of the standard model, including the Lorentz-breaking ones, and need to study their properties, third, by the relation between Lorentz symmetry breaking with string theory, fourth, by the problem of formulating a consistent quantum gravity theory, so that various modified gravity models are to be examined.

Symmetry Breaking

Symmetry Breaking
Author: Franco Strocchi
Publisher: Springer
Total Pages: 212
Release: 2007-10-31
Genre: Science
ISBN: 3540735933

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The new edition of this well received primer on rigorous aspects of symmetry breaking presents a more detailed and thorough discussion of the mechanism of symmetry breaking in classical field theory in relation with the Noether theorem. Moreover, the link between symmetry breaking without massless Goldstone bosons in Coulomb systems and in gauge theories is made more explicit. A subject index has been added and a number of misprints have been corrected.

Symmetry Breaking

Symmetry Breaking
Author: Franco Strocchi
Publisher: Springer Science & Business Media
Total Pages: 220
Release: 2005-02-21
Genre: Science
ISBN: 9783540213185

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The intriguing mechanism of spontaneous symmetry breaking is a powerful innovative idea at the basis of most of the recent developments in theoretical physics, from statistical mechanics to many-body theory to elementary particles theory; for infinitely extended systems a symmetric Hamiltonian can account for non symmetric behaviours, giving rise to non symmetric realizations of a physical system. In the first part of this book, devoted to classical field theory, such a mechanism is explained in terms of the occurrence of disjoint sectors and their stability properties and of an improved version of the Noether theorem. For infinitely extended quantum systems, discussed in the second part, the mechanism is related to the occurrence of disjoint pure phases and characterized by a symmetry breaking order parameter, for which non perturbative criteria are discussed, following Wightman, and contrasted with the standard Goldstone perturbative strategy. The Goldstone theorem is discussed with a critical look at the hypotheses that emphasizes the crucial role of the dynamical delocalization induced by the interaction range. The Higgs mechanism in local gauges is explained in terms of the Gauss law constraint on the physical states. The mathematical details are kept to the minimum required to make the book accessible to students with basic knowledge of Hilbert space structures. Much of the material has not appeared in other textbooks.

Cpt And Lorentz Symmetry - Proceedings Of The Ninth Meeting

Cpt And Lorentz Symmetry - Proceedings Of The Ninth Meeting
Author: Ralf Lehnert
Publisher: World Scientific
Total Pages: 283
Release: 2023-04-25
Genre: Science
ISBN: 9811275394

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This book contains the Proceedings of the Ninth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington May 17-26, 2022. The Meeting focused on tests of these fundamental symmetries and on related theoretical issues, including scenarios for possible violations. Experimental topics covered at the meeting include astrophysical observations of neutrinos, photons, cosmic rays, pulsars, and gravitational waves; investigations at accelerators and storage rings involving neutral mesons, muons, quarks, and flavor-changing processes; gravity tests in the laboratory and in the solar system; spectroscopic studies of ions, atoms, molecules, and exotic atoms; measurements involving spin motion; comparative tests between matter and antimatter; lasers and masers; measurements involving neutrons; investigations with cavities, oscillators, and resonators; neutrino oscillations, propagation, and endpoint measurements.Theoretical and phenomenological topics discussed involved the identification of signatures for CPT and Lorentz violation in particle physics, electromagnetism, and gravity; mechanisms and toy models for spacetime-symmetry breakdown; studies in field theory, gravitation, and particle physics; and condensed-matter applications.

Introduction to Modified Gravity

Introduction to Modified Gravity
Author: Albert Petrov
Publisher: Springer Nature
Total Pages: 77
Release: 2020-07-27
Genre: Science
ISBN: 3030528626

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This book reviews various modified gravity models, including those with modifications in the pure gravitational sector; those involving extra fields, that is, scalar-tensor and vector-tensor gravity theories; gravity models with Lorentz symmetry breaking; and nonlocal gravity models. The authors discuss both classical and quantum aspects of these theories. The book is unique in bringing together all the current alternatives to Einstein gravity in one source and serves as an excellent starting point for graduate students and other newcomers seeking an overview.

Physics from Symmetry

Physics from Symmetry
Author: Jakob Schwichtenberg
Publisher: Springer
Total Pages: 294
Release: 2017-12-01
Genre: Science
ISBN: 3319666312

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This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

18th Advanced ICFA Beam Dynamics Workshop on Quantum Aspects of Beam Physics

18th Advanced ICFA Beam Dynamics Workshop on Quantum Aspects of Beam Physics
Author: Pisin Chen
Publisher: World Scientific
Total Pages: 658
Release: 2002
Genre: Science
ISBN: 9810249500

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This proceedings volume records the advances in quantum beam physics since the first meeting in Monterey (1998). In addition to further progress regarding quantum effects in beam dynamics, photon-electron interaction in beam handling, beam phenomena under strong fields, and quantum methodologies in beam physics, the newly introduced topics ? the physics of condensed beams as well as astro-beam physics and laboratory astrophysics ? have also been well documented by world experts in the field.This book should be a valuable reference to those who are interested in the joint frontiers of beam physics and other fields such as astrophysics and condensed matter physics.

Introduction to Modified Gravity

Introduction to Modified Gravity
Author: Albert Petrov
Publisher: Springer Nature
Total Pages: 106
Release: 2023-11-16
Genre: Science
ISBN: 3031466349

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This book reviews various modified gravity models, including those with modifications in the pure gravitational sector; those involving extra fields, that is, scalar-tensor and vector-tensor gravity theories; gravity models with Lorentz symmetry breaking; and nonlocal gravity models. The authors discuss both classical and quantum aspects of these theories. The book is unique in bringing together all the current alternatives to Einstein gravity in one source and serves as an excellent starting point for graduate students and other newcomers seeking an overview. This second edition has been expanded with new results from a variety of approaches including f(R,Q,P) gravity, galileon gravity and massive gravity. Extended discussions of Lorentz-breaking terms and of non-local field theory have been added and a completely new chapter is devoted to models based on non-Riemannian geometry.

A First Course on Symmetry, Special Relativity and Quantum Mechanics

A First Course on Symmetry, Special Relativity and Quantum Mechanics
Author: Gabor Kunstatter
Publisher: Springer Nature
Total Pages: 390
Release: 2020-10-19
Genre: Science
ISBN: 3030554201

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This book provides an in-depth and accessible description of special relativity and quantum mechanics which together form the foundation of 21st century physics. A novel aspect is that symmetry is given its rightful prominence as an integral part of this foundation. The book offers not only a conceptual understanding of symmetry, but also the mathematical tools necessary for quantitative analysis. As such, it provides a valuable precursor to more focused, advanced books on special relativity or quantum mechanics. Students are introduced to several topics not typically covered until much later in their education.These include space-time diagrams, the action principle, a proof of Noether's theorem, Lorentz vectors and tensors, symmetry breaking and general relativity. The book also provides extensive descriptions on topics of current general interest such as gravitational waves, cosmology, Bell's theorem, entanglement and quantum computing. Throughout the text, every opportunity is taken to emphasize the intimate connection between physics, symmetry and mathematics.The style remains light despite the rigorous and intensive content. The book is intended as a stand-alone or supplementary physics text for a one or two semester course for students who have completed an introductory calculus course and a first-year physics course that includes Newtonian mechanics and some electrostatics. Basic knowledge of linear algebra is useful but not essential, as all requisite mathematical background is provided either in the body of the text or in the Appendices. Interspersed through the text are well over a hundred worked examples and unsolved exercises for the student.