Finster, Felix and Tolksdorf, Juergen (2012) Bosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in phi(4)-Theory. JOURNAL OF MATHEMATICAL PHYSICS, 53 (5): 052305. ISSN 0022-2488,
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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's function and have one outgoing leg. In order to obtain general tree diagrams, we set up a "classical measurement process" 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. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4718333]
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 May 2020 10:38 |
| Last Modified: | 14 May 2020 10:38 |
| URI: | https://pred.uni-regensburg.de/id/eprint/18775 |
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