Dynamical ansatz for path integrals and nonperturbative trace formulas.
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.
Dabaghian
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Department of Physics, University of Rhode Island, Kingston, Rhode Island 02881, USA.