Finster, Felix and Tolksdorf, Jürgen
Bosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in ϕ4-Theory.
Journal of Mathematical Physics.
Solutions of the classical ϕ4-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.
|Date:||23 May 2012|
|Institutions:|| Mathematics > Prof. Dr. Felix Finster|
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Yes|
|Deposited On:||23 Oct 2012 06:33|
|Last Modified:||23 Oct 2012 06:33|