Spectral Methods in Quantum Field Theory (Paperback, Softcover reprint of hardcover 1st ed. 2009)

In this monograph we apply scattering theory methods to calculations in quantum ?eld theory, with a particular focus on properties of the quantum vacuum. These methods will provide e?cient and reliable solutions to a - riety of problems in quantum ?eld theory. Our approach will also elucidate in a concrete context many of the subtleties of quantum ?eld theory, such as divergences, regularization, and renormalization, by connecting them to more familiar results in quantum mechanics. We will use tools of scattering theory to characterize the spectrum of energyeigenstatesinapotentialbackground, hencethetermspectralmethods. This mode spectrum comprises both discrete bound states and a continuum of scattering states. We develop a powerful formalism that parameterizes the e?ects of the continuum by the density of states, which we compute from scattering data. Summing the zero-point energies of these modes gives the energy of the quantum vacuum, which is one of the central quantities we study.Althoughthemostcommonlystudiedbackgroundpotentialsarisefrom static soliton solutions to the classical equations of motion, these methods are not limited to such cases

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Physics, 777
Release date:	October 2010
First published:	2009
Authors:	Noah Graham • Markus Quandt • Herbert Weigel
Dimensions:	235 x 155 x 10mm (L x W x T)
Format:	Paperback
Pages:	182
Edition:	Softcover reprint of hardcover 1st ed. 2009
ISBN-13:	978-3-642-10116-8
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-642-10116-X
Barcode:	9783642101168

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