Path integral evaluation of the one-loop effective potential in field theory of diffusion-limited reactions

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dc.creatorHochberg, David
dc.creatorZorzano, M. -P.
dc.date2005-10-03
dc.date.accessioned2026-07-07T11:04:18Z
dc.date.available2026-07-07T11:04:18Z
dc.descriptionThe well-established effective action and effective potential framework from the quantum field theory domain is adapted and successfully applied to classical field theories of the Doi and Peliti type for diffusion controlled reactions. Through a number of benchmark examples, we show that the direct calculation of the effective potential in fixed space dimension $d=2$ to one-loop order reduces to a small set of simple elementary functions, irrespective of the microscopic details of the specific model. Thus the technique, which allows one to obtain with little additional effort, the potentials for a wide variety of different models, represents an important alternative to the standard model dependent diagram-based calculations. The renormalized effective potential, effective equations of motion and the associated renormalization group equations are computed in $d=2$ spatial dimensions for a number of single species field theories of increasing complexity.
dc.descriptionPlain LaTEX2e, 32 pages and three figures. Submitted to Journal of Statistical Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/0510034
dc.identifierhttp://arxiv.org/abs/cond-mat/0510034
dc.identifierPhysicaA378:238-254,2007
dc.identifierdoi:10.1016/j.physa.2006.11.089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188845
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titlePath integral evaluation of the one-loop effective potential in field theory of diffusion-limited reactions
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