Renormalized Theory of Infinitely Driven Lattice Gases

TL;DR

This paper develops a renormalized field theory for infinitely driven lattice gases, revealing critical behavior distinct from finite-drive cases, with calculated critical exponents using one-loop order expansion.

Contribution

It introduces a new renormalized theoretical framework for infinitely driven lattice gases, extending understanding beyond finite-drive models.

Findings

Critical exponents calculated at one-loop order.

The theory exhibits non-mean-field behavior.

Main features of two-loop calculations are outlined.

Abstract

We use field theoretic renormalization group methods to study the critical behavior of a recently proposed Langevin equation for driven lattice gases under infinitely fast drive. We perform an expansion around the upper critical dimension, $d_c=4$, and obtain the critical exponents to one loop order. The main features of the two loop calculation are also outlined. The renormalized theory is shown to exhibit a behavior different from the standard field theory for the DLG with finite driving, {\em i.e.} it is not mean field like.