Effective Field Theory Methods In Gravitational Physics And Tests Of Gravity
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Effective Field Theories
Author | : Alexey A. Petrov |
Publisher | : World Scientific |
Total Pages | : 318 |
Release | : 2015-11-18 |
Genre | : Science |
ISBN | : 9814434930 |
This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi's weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained.
Introduction to Effective Field Theory
Author | : C. P. Burgess |
Publisher | : Cambridge University Press |
Total Pages | : 665 |
Release | : 2020-12-10 |
Genre | : Science |
ISBN | : 0521195470 |
This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.
Introduction to Quantum Field Theory with Applications to Quantum Gravity
Author | : Iosif L. Buchbinder |
Publisher | : Oxford University Press |
Total Pages | : 464 |
Release | : 2021-03-01 |
Genre | : Science |
ISBN | : 0192575317 |
Applications of quantum field theoretical methods to gravitational physics, both in the semiclassical and the full quantum frameworks, require a careful formulation of the fundamental basis of quantum theory, with special attention to such important issues as renormalization, quantum theory of gauge theories, and especially effective action formalism. The first part of this graduate textbook provides both a conceptual and technical introduction to the theory of quantum fields. The presentation is consistent, starting from elements of group theory, classical fields, and moving on to the effective action formalism in general gauge theories. Compared to other existing books, the general formalism of renormalization in described in more detail, and special attention paid to gauge theories. This part can serve as a textbook for a one-semester introductory course in quantum field theory. In the second part, we discuss basic aspects of quantum field theory in curved space, and perturbative quantum gravity. More than half of Part II is written with a full exposition of details, and includes elaborated examples of simplest calculations. All chapters include exercises ranging from very simple ones to those requiring small original investigations. The selection of material of the second part is done using the “must-know” principle. This means we included detailed expositions of relatively simple techniques and calculations, expecting that the interested reader will be able to learn more advanced issues independently after working through the basic material, and completing the exercises.
Theory and Experiment in Gravitational Physics
Author | : Clifford M. Will |
Publisher | : Cambridge University Press |
Total Pages | : 363 |
Release | : 2018-09-27 |
Genre | : Science |
ISBN | : 1107117445 |
A comprehensive review of the testing and research conducted on Einstein's theory of general relativity.
Effective Field Theory in Particle Physics and Cosmology
Author | : Sacha Davidson |
Publisher | : Oxford University Press |
Total Pages | : 400 |
Release | : 2020-04-20 |
Genre | : Science |
ISBN | : 0192597760 |
The topic of the CVIII session of the Ecole de Physique des Houches, held in July 2017, was Effective Field Theory in Particle Physics and Cosmology. Effective Field Theory (EFT) is a general method for describing quantum systems with multiple length scales in a tractable fashion. It allows to perform precise calculations in established models (such as the Standard Models of particle physics and cosmology), as well as to concisely parametrise possible effects from physics beyond the Standard Models. The goal of this school was to offer a broad introduction to the foundations and modern applications of Effective Field Theory in many of its incarnations. This is all the more important as there are preciously few textbooks covering the subject, none of them in a complete way. In this book, the lecturers present the concepts in a pedagogical way so that readers can adapt some of the latest developments to their own problems. The chapters cover almost all the lectures given at the school and will serve as an introduction to the topic and as a reference manual to students and researchers.
Gravitational Theories Beyond General Relativity
Author | : Iberê Kuntz |
Publisher | : Springer |
Total Pages | : 82 |
Release | : 2019-05-21 |
Genre | : Science |
ISBN | : 3030211975 |
Despite the success of general relativity in explaining classical gravitational phenomena, several problems at the interface between gravitation and high energy physics still remain open. The purpose of this thesis is to explore quantum gravity and its phenomenological consequences for dark matter, gravitational waves and inflation. A new formalism to classify gravitational theories based on their degrees of freedom is introduced and, in light of this classification, it is argued that dark matter is no different from modified gravity. Gravitational waves are shown to be damped due to quantum degrees of freedom. The consequences for gravitational wave events are also discussed. The non-minimal coupling of the Higgs boson to gravity is studied in connection with Starobinsky inflation and its implications for the vacuum instability problem is analyzed.
Probing Gravity: From the Alternative to the Effective
Author | : Delphine Laure Gaelle Perrodin |
Publisher | : |
Total Pages | : 166 |
Release | : 2009 |
Genre | : |
ISBN | : |
While general relativity is a very successful theory of gravity, having thus far passed all observational tests with flying colors, it is thought to be incomplete. Indeed, we lack an ultimate high energy theory in which general relativity and quantum mechanics are both valid. We consider extensions to the action of general relativity, and seek to place constraints on these alternative theories using astrophysical tests. General relativity has been extensively tested in the solar system, but not with precision in strong gravity systems. We discuss constraints that could be placed on alternative theories using neutron stars. We find that we may not be able to distinguish between general relativity and some alternative theories in the spacetimes around black holes. We also discuss constraints from cosmological tests, and show that instabilities can appear. Adding higher-order terms to the action of general relativity can introduce new dynamical degrees of freedom and instabilities. From the standpoint of effective field theory however, these alternative theories are inconsistent because they are not unitary. In an effective field theory, no new degree of freedom is introduced. This also means that extra polarizations of gravitational waves, which are predicted by some alternative theories, would not be present in an effective field theory. We then consider an effective field theoretic formulation for gravitational radiation called Non-Relativistic General Relativity (NRGR). We study the gravitational wave emission in non-relativistic coalescing compact binaries, which are thought to be powerful emitters of gravitational waves. While NRGR is based on the post-newtonian (PN) approximation to general relativity, and should therefore be in complete agreement with other post-newtonian methods, the effective field theory approach provides two major advantages: it provides a consistent framework for the dynamics using a lagrangian formulation; also, one can in principle compute observables to all orders in the orbital velocity in a systematic way. We provide a brief overview of NRGR methods, and present the NRGR calculation of the subleading spin-orbit correction to the newtonian potential.
Theory and Experiment in Gravitational Physics
Author | : Clifford M. Will |
Publisher | : Cambridge University Press |
Total Pages | : 363 |
Release | : 2018-09-27 |
Genre | : Science |
ISBN | : 1108577490 |
The 2015 centenary of the publication of Einstein's general theory of relativity, and the first detection of gravitational waves have focused renewed attention on the question of whether Einstein was right. This review of experimental gravity provides a detailed survey of the intensive testing of Einstein's theory of gravity, including tests in the emerging strong-field dynamical regime. It discusses the theoretical frameworks needed to analyze gravitational theories and interpret experiments. Completely revised and updated, this new edition features coverage of new alternative theories of gravity, a unified treatment of gravitational radiation, and the implications of the latest binary pulsar observations. It spans the earliest tests involving the Solar System to the latest tests using gravitational waves detected from merging black holes and neutron stars. It is a comprehensive reference for researchers and graduate students working in general relativity, cosmology, particle physics and astrophysics.
Classical Field Theory
Author | : Joel Franklin |
Publisher | : Cambridge University Press |
Total Pages | : 219 |
Release | : 2017-04-27 |
Genre | : Science |
ISBN | : 1107189616 |
Special relativity -- Point particle fields -- Field Lagrangians -- Gravity