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| Author | : Manu Paranjape |
| Publisher | : Cambridge University Press |
| Total Pages | : 325 |
| Release | : 2023-01-31 |
| Genre | : Science |
| ISBN | : 1009291262 |
This 2017 volume, now reissued as OA, provides an accessible, detailed introduction to instanton methods and their many applications.
| Author | : Manu Paranjape |
| Publisher | : Cambridge University Press |
| Total Pages | : 325 |
| Release | : 2017-11-16 |
| Genre | : Science |
| ISBN | : 110854763X |
Instantons, or pseudoparticles, are solutions to the equations of motion in classical field theories on a Euclidean spacetime. Instantons are found everywhere in quantum theories as they have many applications in quantum tunnelling. Diverse physical phenomena may be described through quantum tunnelling, for example: the Josephson effect, the decay of meta-stable nuclear states, band formation in tight binding models of crystalline solids, the structure of the gauge theory vacuum, confinement in 2+1 dimensions, and the decay of superheated or supercooled phases. Drawing inspiration from Sidney Coleman's Erice lectures, this volume provides an accessible, detailed introduction to instanton methods, with many applications, making it a valuable resource for graduate students in many areas of physics, from condensed matter, particle and nuclear physics, to string theory.
| Author | : Sidney Coleman |
| Publisher | : Cambridge University Press |
| Total Pages | : 424 |
| Release | : 1988-02-18 |
| Genre | : Mathematics |
| ISBN | : 9780521318273 |
For almost two decades, Sidney Coleman has been giving review lectures on frontier topics in theoretical high-energy physics at the International School of Subnuclear Physics held each year at Erice, Sicily. This volume is a collection of some of the best of these lectures. To this day they have few rivals for clarity of exposition and depth of insight. Although very popular when first published, many of the lectures have been difficult to obtain recently. Graduate students and professionals in high-energy physics will welcome this collection by a master of the field.
| Author | : Marcos Mariño |
| Publisher | : Cambridge University Press |
| Total Pages | : 381 |
| Release | : 2015-09-03 |
| Genre | : Science |
| ISBN | : 1316368548 |
This highly pedagogical textbook for graduate students in particle, theoretical and mathematical physics, explores advanced topics of quantum field theory. Clearly divided into two parts; the first focuses on instantons with a detailed exposition of instantons in quantum mechanics, supersymmetric quantum mechanics, the large order behavior of perturbation theory, and Yang–Mills theories, before moving on to examine the large N expansion in quantum field theory. The organised presentation style, in addition to detailed mathematical derivations, worked examples and applications throughout, enables students to gain practical experience with the tools necessary to start research. The author includes recent developments on the large order behavior of perturbation theory and on large N instantons, and updates existing treatments of classic topics, to ensure that this is a practical and contemporary guide for students developing their understanding of the intricacies of quantum field theory.
| Author | : Francesco Bajardi |
| Publisher | : Cambridge University Press |
| Total Pages | : 451 |
| Release | : 2022-11-30 |
| Genre | : Science |
| ISBN | : 1009208748 |
This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.
| Author | : Yakov M. Shnir |
| Publisher | : Cambridge University Press |
| Total Pages | : 281 |
| Release | : 2018-07-26 |
| Genre | : Science |
| ISBN | : 1108429912 |
An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.
| Author | : Bei-Lok B. Hu |
| Publisher | : Cambridge University Press |
| Total Pages | : 615 |
| Release | : 2020-03-05 |
| Genre | : Science |
| ISBN | : 0521193575 |
An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.
| Author | : Kirill Krasnov |
| Publisher | : Cambridge University Press |
| Total Pages | : 391 |
| Release | : 2020-11-26 |
| Genre | : Science |
| ISBN | : 1108689604 |
This monograph describes the different formulations of Einstein's General Theory of Relativity. Unlike traditional treatments, Cartan's geometry of fibre bundles and differential forms is placed at the forefront, and a detailed review of the relevant differential geometry is presented. Particular emphasis is given to general relativity in 4D space-time, in which the concepts of chirality and self-duality begin to play a key role. Associated chiral formulations are catalogued, and shown to lead to many practical simplifications. The book develops the chiral gravitational perturbation theory, in which the spinor formalism plays a central role. The book also presents in detail the twistor description of gravity, as well as its generalisation based on geometry of 3-forms in seven dimensions. Giving valuable insight into the very nature of gravity, this book joins our highly prestigious Cambridge Monographs in Mathematical Physics series. It will interest graduate students and researchers in the fields of theoretical physics and differential geometry.
| Author | : Luca Lusanna |
| Publisher | : Cambridge University Press |
| Total Pages | : 339 |
| Release | : 2019-07-04 |
| Genre | : Science |
| ISBN | : 110857419X |
Interpreting general relativity relies on a proper description of non-inertial frames and Dirac observables. This book describes global non-inertial frames in special and general relativity. The first part covers special relativity and Minkowski space time, before covering general relativity, globally hyperbolic Einstein space-time, and the application of the 3+1 splitting method to general relativity. The author uses a Hamiltonian description and the Dirac–Bergmann theory of constraints to show that the transition between one non-inertial frame and another is a gauge transformation, extra variables describing the frame are gauge variables, and the measureable matter quantities are gauge invariant Dirac observables. Point particles, fluids and fields are also discussed, including how to treat the problems of relative times in the description of relativistic bound states, and the problem of relativistic centre of mass. Providing a detailed description of mathematical methods, the book is perfect for theoretical physicists, researchers and students working in special and general relativity.
| Author | : Dharam Ahluwalia |
| Publisher | : Cambridge University Press |
| Total Pages | : 137 |
| Release | : 2019-07-04 |
| Genre | : Science |
| ISBN | : 1107094097 |
Provides an overview of the eigenspinors of the charge conjugation operator and mass one dimension fermions.
