A FDR-preserving field theory of glass transition in terms of the fluctuating hydrodynamics

TL;DR

This paper reformulates a field theoretical approach to fluctuating hydrodynamics, demonstrating its equivalence to standard mode-coupling theory in describing the long-time behavior of glass transition dynamics.

Contribution

It introduces a FDR-preserving field theory for fluctuating hydrodynamics and connects it to established mode-coupling theory results.

Findings

Long-time behavior matches standard mode-coupling theory.

FDR-preserving reformulation of fluctuating hydrodynamics.

Assumption of fast momentum decay is crucial.

Abstract

A field theoretical method for the fluctuating hydrodynamics with preserving fluctuation-dissipation relations (FDR) is reformulated. It is shown that the long time behavior within the first-loop order perturbation under the assumption that the correlations include the momentum decay fast enough, is equivalent to that for the standard mode-coupling theory.