On the Brownian gas: a field theory with a Poissonian ground state

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dc.creatorVelenich, Andrea
dc.creatorChamon, Claudio
dc.creatorCugliandolo, Leticia F.
dc.creatorKreimer, Dirk
dc.date2008-02-21
dc.date.accessioned2026-07-07T11:40:25Z
dc.date.available2026-07-07T11:40:25Z
dc.descriptionAs a first step towards a successful field theory of Brownian particles in interaction, we study exactly the non-interacting case, its combinatorics and its non-linear time-reversal symmetry. Even though the particles do not interact, the field theory contains an interaction term: the vertex is the hallmark of the original particle nature of the gas and it enforces the constraint of a strictly positive density field, as opposed to a Gaussian free field. We compute exactly all the n-point density correlation functions, determine non-perturbatively the Poissonian nature of the ground state and emphasize the futility of any coarse-graining assumption for the derivation of the field theory. We finally verify explicitly, on the n-point functions, the fluctuation-dissipation theorem implied by the time-reversal symmetry of the action.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0802.3212
dc.identifierhttp://arxiv.org/abs/0802.3212
dc.identifierJ.Phys.A41:235002,2008
dc.identifierdoi:10.1088/1751-8113/41/23/235002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200249
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleOn the Brownian gas: a field theory with a Poissonian ground state
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