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• W2085485263 abstract "The presence of fluctuations and non-linear interactions can lead to scale dependence in the parameters appearing in stochastic differential equations. Stochastic dynamics can be formulated in terms of functional integrals. In this paper we apply the heat kernel method to study the short distance renormalizability of a stochastic (polynomial) reaction-diffusion equation with real additive noise. We calculate the one-loop {emph{effective action}} and its ultraviolet scale dependent divergences. We show that for white noise a polynomial reaction-diffusion equation is one-loop {emph{finite}} in $d=0$ and $d=1$, and is one-loop renormalizable in $d=2$ and $d=3$ space dimensions. We obtain the one-loop renormalization group equations and find they run with scale only in $d=2$." @default.
• W2085485263 created "2016-06-24" @default.
• W2085485263 creator A5037097673 @default.
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• W2085485263 date "2001-02-27" @default.
• W2085485263 modified "2023-10-18" @default.
• W2085485263 title "Heat kernel regularization of the effective action for stochastic reaction-diffusion equations" @default.
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• W2085485263 doi "https://doi.org/10.1103/physreve.63.036132" @default.
• W2085485263 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/11308734" @default.
• W2085485263 hasPublicationYear "2001" @default.
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