Ten Physical Applications Of Spectral Zeta Functions
Download Ten Physical Applications Of Spectral Zeta Functions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Ten Physical Applications Of Spectral Zeta Functions 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.
Ten Physical Applications of Spectral Zeta Functions
Author: Emilio Elizalde
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-12-04
This monography is, in the first place, a commented guide that invites the reader to plunge into the thrilling world ofzeta functions and their appli cations in physics. Different aspects ofthis field ofknowledge are considered, as one can see specifically in the Table of Contents. The level of the book is elementary. It is intended for people with no or little knowledge of the subject. Everything is explained in full detail, in particular, the mathematical difficulties and tricky points, which too often constitute an insurmountable barrier for those who would have liked to be come aquainted with that matter but never dared to ask (or did not manage to understand more complete, higher-level treatises). In this sense the present work is to be considered as a basic introduction and exercise collection for other books that have appeared recently. Concerning the physical applications of the method ofzeta-function reg ularization here described, quite a big choice is presented. The reader must be warned, however, that I have not tried to explain the underlying physi cal theories in complete detail (since this is undoubtedly out of scope), but rather to illustrate - simply and clearly - the precise way the method must be applied. Sometimes zeta regularization is explicitly compared in the text with other procedures the reader is supposed to be more familiar with (such as cut-off or dimensional regularization).
A Window Into Zeta and Modular Physics
Author: Klaus Kirsten
language: en
Publisher: Cambridge University Press
Release Date: 2010-05-24
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
Author: Sergey D. Odintsov
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-06-10
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.