Band 777
Spectral Methods in Quantum Field Theory
Aus der Reihe
Lecture Notes in Physics
Fr. 73.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Gebundene Ausgabe
Erscheinungsdatum
08.05.2009
Abbildungen
XI, 30 schwarzweisse Abbildungen, 20 Tabellen, 30 Abbildungenton-Abb., 30 schwarzweisse Zeichnungen 235 mm
Verlag
Springer BerlinSeitenzahl
182
Maße (L/B/H)
24.1/16/1.6 cm
Gewicht
465 g
Auflage
2009
Sprache
Englisch
ISBN
978-3-642-00138-3
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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