书目名称 | Spectral Methods in Quantum Field Theory | 编辑 | Herbert Weigel,Markus Quandt,Noah Graham | 视频video | | 概述 | Includes supplementary material: | 丛书名称 | Lecture Notes in Physics | 图书封面 |  | 描述 | 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. | 出版日期 | Book 2009 | 关键词 | calculus; casimir forces; mathematical physics; non-perturbative quantum fluid theory; quantum mechanics | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-00139-0 | isbn_softcover | 978-3-642-10116-8 | isbn_ebook | 978-3-642-00139-0Series ISSN 0075-8450 Series E-ISSN 1616-6361 | issn_series | 0075-8450 | copyright | Springer-Verlag Berlin Heidelberg 2009 |
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