Full Counting Statistics and Field Theory

TL;DR

This paper reviews the connection between full counting statistics and field theory in electric circuits, highlighting how large conductance regimes are influenced by non-trivial saddle points and Coulomb effects as quantum corrections.

Contribution

It introduces a field-theoretic approach to analyze full counting statistics, emphasizing the role of saddle points and Coulomb effects in large conductance regimes.

Findings

Counting statistics determined by non-trivial saddle points

Coulomb effects act as quantum corrections at low energies

Renormalization of the action due to Coulomb effects

Abstract

We review the relations between the full counting statistics and the field theory of electric circuits. We demonstrate that for large conductances the counting statistics is determined by non-trivial saddle-point of the field. Coulomb effects in this limit are presented as quantum corrections that can stongly renormalize the action at low energies.