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Bosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in [phi]4 Theory

Felix FinsterJürgen Tolksdorf

出版	Niedersächsische Staats- und Universitätsbibliothek, 2012
URL	http://books.google.com.hk/books?id=HHMLvwEACAAJ&hl=&source=gbs_api

註釋

Solutions of the classical [phi]4-theory in Minkowski space-time are analyzed in a perturbation expansion in the nonlinearity. Using the language of Feynman diagrams, the solution of the Cauchy problem is expressed in terms of tree diagrams which involve the retarded Green & rsquo;s function and have one outgoing leg. In order to obtain general tree diagrams, we set up a classical measurement processʺ in which a virtual observer of a scattering experiment modifies the field and detects suitable energy differences. By adding a classical stochastic background field, we even obtain all loop diagrams. The expansions are compared with the standard Feynman diagrams of the corresponding quantum field theory.