# Spectral Methods in Quantum Field Theory (Lecture Notes in Physics (777))

ISBN-13:
9783642001383

ISBN-10:
3642001386

Edition:
2009

Author:
Graham, Noah, Quandt, Markus, Weigel, Herbert
Publication date:
2009

Publisher:
Springer

Format:
Hardcover
193 pages
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Book details

ISBN-13:
9783642001383

ISBN-10:
3642001386

Edition:
2009

Author:
Graham, Noah, Quandt, Markus, Weigel, Herbert
Publication date:
2009

Publisher:
Springer

Format:
Hardcover
193 pages
## Summary

Acknowledged authors
Graham,
Noah,
Quandt,
Markus,
Weigel,
Herbert
wrote Spectral Methods in Quantum Field Theory (Lecture Notes in Physics (777))
comprising 193 pages back in 2009.
Textbook and eTextbook are published under ISBN 3642001386 and 9783642001383.
Since then Spectral Methods in Quantum Field Theory (Lecture Notes in Physics (777)) textbook
was available to sell back to BooksRun online for the top buyback price
or rent at the marketplace.

## Description

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.

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