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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Spectral Methods in Quantum Field Theory (Paperback, Softcover reprint of hardcover 1st ed. 2009)
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Spectral Methods in Quantum Field Theory (Paperback, Softcover reprint of hardcover 1st ed. 2009)
Series: Lecture Notes in Physics, 777
Expected to ship within 10 - 15 working days
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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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