Effective potential for classical field theories subject to stochastic noise

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dc.creatorHochberg, David
dc.creatorMolina-Paris, Carmen
dc.creatorPerez-Mercader, Juan
dc.creatorVisser, Matt
dc.date1999-04-14
dc.date2000-11-28
dc.date.accessioned2026-07-07T03:13:15Z
dc.date.available2026-07-07T03:13:15Z
dc.descriptionClassical field theories coupled to stochastic noise provide an extremely powerful tool for modeling phenomena as diverse as turbulence, pattern-formation, and the structural development of the universe itself. In this Letter we sketch a general formalism that maps such systems into a field theory language, and demonstrate how to extract the one-loop physics for an arbitrary classical field theory coupled to Gaussian noise. The amplitude of the noise two-point function serves as the loop-counting parameter and is the analog of Planck's constant hbar in quantum field theory. We define the effective action and the effective potential, and derive a general formula for the one-loop effective potential of a classical field theory coupled to translation-invariant Gaussian noise.
dc.description5 pages, LaTeX 209, ReV_TeX 3.2. V2: Cosmetic changes to improve handling of Fadeev--Popov ghosts. V3: References updated. This paper has now been superseded and the contents of this paper have now been incorporated into cond-mat/9904215 [Phys. Rev. E60 (1999) 6343-6360]; cond-mat/9904391 [Physica A280 (2000) 437-455]; and cond-mat/9904413 [Phys. Lett. A, in press]
dc.identifierhttps://arxiv.org/abs/cond-mat/9904207
dc.identifierhttp://arxiv.org/abs/cond-mat/9904207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29230
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.subjectHigh Energy Physics - Theory
dc.titleEffective potential for classical field theories subject to stochastic noise
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