| Spectral Methods in Quantum Field Theory Contributor(s): Graham, Noah (Author), Quandt, Markus (Author), Weigel, Herbert (Author) |
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ISBN: 364210116X ISBN-13: 9783642101168 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: October 2010 |
| Additional Information |
| BISAC Categories: - Science | Physics - Mathematical & Computational - Science | Physics - Nuclear - Science | Physics - Quantum Theory |
| Dewey: 530.1 |
| Series: Lecture Notes in Physics |
| Physical Information: 0.42" H x 6.14" W x 9.21" (0.62 lbs) 182 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 |
