Zeta Regularization Techniques With Applications
DOWNLOAD
Download Zeta Regularization Techniques With Applications PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Zeta Regularization Techniques With Applications book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Zeta Regularization Techniques With Applications
DOWNLOAD
Author : E. Elizalde
language : en
Publisher: World Scientific
Release Date : 1994
Zeta Regularization Techniques With Applications written by E. Elizalde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
This book is the result of several years of work by the authors on different aspects of zeta functions and related topics. The aim is twofold. On one hand, a considerable number of useful formulas, essential for dealing with the different aspects of zeta-function regularization (analytic continuation, asymptotic expansions), many of which appear here, in book format, for the first time are presented. On the other hand, the authors show explicitly how to make use of such formulas and techniques in practical applications to physical problems of very different nature. Virtually all types of zeta functions are dealt with in the book.
Zeta Regularization Techniques With Applications
DOWNLOAD
Author : Andrei A Bytsenko
language : en
Publisher: World Scientific
Release Date : 1994-05-16
Zeta Regularization Techniques With Applications written by Andrei A Bytsenko and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-16 with Science categories.
This book is the result of several years of work by the authors on different aspects of zeta functions and related topics. The aim is twofold. On one hand, a considerable number of useful formulas, essential for dealing with the different aspects of zeta-function regularization (analytic continuation, asymptotic expansions), many of which appear here, in book format, for the first time are presented. On the other hand, the authors show explicitly how to make use of such formulas and techniques in practical applications to physical problems of very different nature. Virtually all types of zeta functions are dealt with in the book.
Ten Physical Applications Of Spectral Zeta Functions
DOWNLOAD
Author : Emilio Elizalde
language : en
Publisher: Springer
Release Date : 2012-05-31
Ten Physical Applications Of Spectral Zeta Functions written by Emilio Elizalde and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-31 with Science categories.
Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice, for example in the Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, and non-commutative spacetime. The formulae, some of which are new, can be directly applied in creating physically meaningful, accurate numerical calculations. The book acts both as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice. Thoroughly revised, updated and expanded, this new edition includes novel, explicit formulas on the general quadratic, the Chowla-Selberg series case, an interplay with the Hadamard calculus, and also features a fresh chapter on recent cosmological applications, including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models.
A Window Into Zeta And Modular Physics
DOWNLOAD
Author : Klaus Kirsten
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-24
A Window Into Zeta And Modular Physics written by Klaus Kirsten and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-24 with Mathematics categories.
Consists of lectures that are part of the MSRI workshops and that introduce students and researchers to the intriguing world of theoretical physics.
Cosmology Quantum Vacuum And Zeta Functions
DOWNLOAD
Author : Sergey D. Odintsov
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-10
Cosmology Quantum Vacuum And Zeta Functions written by Sergey D. Odintsov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-10 with Science categories.
Some major developments of physics in the last three decades are addressed by highly qualified specialists in different specific fields. They include renormalization problems in QFT, vacuum energy fluctuations and the Casimir effect in different configurations, and a wealth of applications. A number of closely related issues are also considered. The cosmological applications of these theories play a crucial role and are at the very heart of the book; in particular, the possibility to explain in a unified way the whole history of the evolution of the Universe: from primordial inflation to the present day accelerated expansion. Further, a description of the mathematical background underlying many of the physical theories considered above is provided. This includes the uses of zeta functions in physics, as in the regularization problems in QFT already mentioned, specifically in curved space-time, and in Casimir problems as.
The True Story Of Modern Cosmology
DOWNLOAD
Author : Emilio Elizalde
language : en
Publisher: Springer Nature
Release Date : 2021-08-19
The True Story Of Modern Cosmology written by Emilio Elizalde and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-19 with Science categories.
This book tells the story of how, over the past century, dedicated observers and pioneering scientists achieved our current understanding of the universe. It was in antiquity that humankind first attempted to explain the universe often with the help of myths and legends. This book, however, focuses on the time when cosmology finally became a true science. As the reader will learn, this was a slow process, extending over a large part of the 20th century and involving many astronomers, cosmologists and theoretical physicists. The book explains how empirical astronomical data (e.g., Leavitt, Slipher and Hubble) were reconciled with Einstein's general relativity; a challenge which finally led Friedmann, De Sitter and Lemaître, and eventually Einstein himself, to a consistent understanding of the observational results. The reader will realize the extraordinary implications of these achievements and how deeply they changed our vision of the cosmos: From being small, static, immutable and eternal, it became vast and dynamical - originating from (almost) nothing, and yet now, nearly 14 billion years later, undergoing accelerated expansion. But, as always happens, as well as precious knowledge, new mysteries have also been created where previously absolute certainty had reigned.
The Casimir Effect
DOWNLOAD
Author : K. A. Milton
language : en
Publisher: World Scientific
Release Date : 2001
The Casimir Effect written by K. A. Milton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
In its simplest manifestation, the Casimir effect is a quantum force of attraction between two parallel uncharged conducting plates. More generally, it refers to the interaction OCo which may be either attractive or repulsive OCo between material bodies due to quantum fluctuations in whatever fields are relevant. It is a local version of the van der Waals force between molecules. Its sweep ranges from perhaps its being the origin of the cosmological constant to its being responsible for the confinement of quarks. This monograph develops the theory of such forces, based primarily on physically transparent Green''s function techniques, and makes applications from quarks to the cosmos, as well as observable consequences in condensed matter systems. It is aimed at graduate students and researchers in theoretical physics, quantum field theory, and applied mathematics. Contents: Introduction to the Casimir Effect; Casimir Force Between Parallel Plates; Casimir Force Between Parallel Dielectrics; Casimir Effect with Perfect Spherical; The Casimir Effect of a Dielectric Ball: The Equivalence of the Casimir Effect and van der Waals Forces; Application to Hadronic Physics: Zero-Point Energy in the Bag Model; Casimir Effect in Cylindrical Geometries; Casimir Effect in Two Dimensions: The Maxwell-Chern-Simons Casimir Effect; Casimir Effect on a D -dimensional Sphere; Cosmological Implications of the Casimir Effect; Local Effects; Sonoluminescene and the Dynamical Casimir Effect; Radiative Corrections to the Casimir Effect; Conclusions and Outlook; Appendices: Relation of Contour Integral Method to Green''s Function Approach; Casimir Effect for a Closed String. Readership: High-energy, condensed-matter and nuclear physicists."
Handbook Of Quantum Gravity
DOWNLOAD
Author : Cosimo Bambi
language : en
Publisher: Springer Nature
Release Date : 2024-12-03
Handbook Of Quantum Gravity written by Cosimo Bambi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-03 with Science categories.
The search for a theory of quantum gravity is one of the most important and fascinating problems in modern theoretical physics. While we do not have yet a complete theory of quantum gravity, significant advancements have been done in the past decades. In this handbook, every section is dedicated to a specific approach towards a theory of quantum gravity and is edited by the leading experts in the field. This book represents both a valuable resource for graduate students and an important reference for researchers in quantum gravity.
Quantum Field Theory I
DOWNLOAD
Author : Edouard B. Manoukian
language : en
Publisher: Springer
Release Date : 2016-12-01
Quantum Field Theory I written by Edouard B. Manoukian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-01 with Science categories.
This textbook covers a broad spectrum of developments in QFT, emphasizing those aspects that are now well consolidated and for which satisfactory theoretical descriptions have been provided. The book is unique in that it offers a new approach to the subject and explores many topics merely touched upon, if covered at all, in standard reference works. A detailed and largely non-technical introductory chapter traces the development of QFT from its inception in 1926. The elegant functional differential approach put forward by Schwinger, referred to as the quantum dynamical (action) principle, and its underlying theory are used systematically in order to generate the so-called vacuum-to-vacuum transition amplitude of both abelian and non-abelian gauge theories, in addition to Feynman’s well-known functional integral approach, referred to as the path-integral approach. Given the wealth of information also to be found in the abelian case, equal importance is put on both abelian and non-abelian gauge theories. Particular emphasis is placed on the concept of a quantum field and its particle content to provide an appropriate description of physical processes at high energies, where relativity becomes indispensable. Moreover, quantum mechanics implies that a wave function renormalization arises in the QFT field independent of any perturbation theory - a point not sufficiently emphasized in the literature. The book provides an overview of all the fields encountered in present high-energy physics, together with the details of the underlying derivations. Further, it presents “deep inelastic” experiments as a fundamental application of quantum chromodynamics. Though the author makes a point of deriving points in detail, the book still requires good background knowledge of quantum mechanics, including the Dirac Theory, as well as elements of the Klein-Gordon equation. The present volume sets the language, the notation and provides additional background for reading Quantum Field Theory II - Introduction to Quantum Gravity, Supersymmetry and String Theory, by the same author. Students in this field might benefit from first reading the book Quantum Theory: A Wide Spectrum (Springer, 2006), by the same author.
Modern Theoretical And Observational Cosmology
DOWNLOAD
Author : Manolis Plionis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Modern Theoretical And Observational Cosmology written by Manolis Plionis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Proceedings of the second Hellenic Cosmology Meeting, held in the National Observatory of Athens (Penteli, 19-20 April 2001)