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

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.

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.