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Titlebook: Spectral Methods in Quantum Field Theory; Herbert Weigel,Markus Quandt,Noah Graham Book 2009 Springer-Verlag Berlin Heidelberg 2009 calcul

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Boundary Conditions and Casimir Forces,ng boundary conditions on the plates [2]. There has been renewed interest in the Casimir force from applied physics because of its importance at nanometer scales and, in particular, in micro-mechanical devices. For a comprehensive overview, see Ref. [3].
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Book 2009um. 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 fa
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Introduction,ns also solve the classical field equations and in many respects behave as classical particles; such configurations are known as . [1, 2]. While it is generally straightforward to compute the classical energy of such a configuration, the quantum correction to the classical energy is often essential
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Review of Scattering Theory,ional techniques. In this chapter, we develop these tools and derive the key results we will need. We focus particularly on the use of the analytic structure of the scattering data to efficiently compute the Green and Jost functions.
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Quantum Field Theory and the Spectral Method,this chapter, we begin with a review of standard results of quantum field theory and then show how spectral techniques apply in this context. We develop a general set of tools applicable both to calculations of the Casimir energy and to more general observables, such as the energy . relevant for gen
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Hedgehog Configurations in , = 3+1,al fermions, and then we generalize the background boson fields to form an . .(2) gauge theory. We will again use a systematic expansion in ħ and 1/. in which the dominant contribution arises from the fermion loop. Our goal is thus to compute the one-fermion loop contribution to the vacuum polarizat
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