Session X39: Miscellaneous Topics in Statistical Physics

8:00 AM–10:24 AM, Friday, March 14, 2008
Morial Convention Center - 231

Sponsoring Unit: GSNP
Chair: Bill Klein, Boston University

Abstract: X39.00003 : Brownian Gas: a field theory with a Poissonian ground state

8:24 AM–8:36 AM

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Authors:

  Andrea Velenich
    (Physics Department, Boston University)

  Claudio Chamon
    (Physics Department, Boston University)

  Dirk Kreimer
    (Institut des Hautes Etudes Scientifiques and Department of Mathematics and Statistics, Boston University)

As a first step towards a satisfying field theory of Brownian particles in interaction, we study exactly the non-interacting case, its combinatorics and its non-linear time-reversal symmetry. The field theory is nevertheless interacting: the vertex is the hallmark of the original particle nature of the gas and 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.