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A non-perturbative method which can go beyond the weak coupling perturbation theory is introduced. Essential idea is to formulate a set of exact differential equations as a function of the coupling s...
Functional-Integral Based Perturbation Theory for the Malthus-Verhulst Process
Birth-and-death process Master equation Path integral Omega-expansion Doi formalism
2010/10/13
We apply a functional-integral formalism for Markovian birth and death processes to determine asymptotic corrections to mean-field theory in the Malthus-Verhulst process (MVP). Expanding about the sta...