Dynamical ansatz for path integrals and nonperturbative trace formulas

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Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN: 1063-651X, Vol: 60, Issue: 1, Page: 324-334

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https://digitalcommons.uri.edu/phys_facpubs/280; https://digitalcommons.uri.edu/cgi/viewcontent.cgi?article=1289&context=phys_facpubs
Dabaghian, Yuri A.
American Physical Society (APS); DigitalCommons@URI
Physics and Astronomy; Mathematics
article description
It is shown that a recently discovered representation of the Green’s function is equivalent to a certain “dynamical ansatz” for the corresponding path integral, which brings about a convenient method of nonperturbative approximations. Based on this observation, a set of nonperturbative approximations to the trace of the Green’s function is established. © 1999 The American Physical Society.