Effective lagrangian for the macroscopic motion of fermionic matter

TL;DR

This paper develops an effective Lagrangian framework for describing the macroscopic motion of fermionic quantum systems in thermal equilibrium, with applications to quark-gluon plasma physics.

Contribution

It introduces a new effective Lagrangian formulation for fermionic matter interacting with gauge fields, extending previous approaches to macroscopic quantum system dynamics.

Findings

Explicit effective Lagrangian derived for fermionic systems with gauge interactions

Framework applicable to quark-gluon plasma physics

Method based on Zubarev statistical operator and functional integral

Abstract

We consider macroscopic motion of quantum field systems. Zubarev statistical operator allows to describe several types of motion of such systems in thermal equilibrium. We formulate the corresponding effective theory on the language of functional integral. The effective lagrangian is calculated explicitly for the fermionic systems interacting with dynamical gauge fields. Possible applications to physics of quark - gluon plasma are discussed.