Contribution from the interaction Hamiltonian to the expectation value of particle number with the non-equilibrium quantum field theory

TL;DR

This paper develops a method using non-equilibrium quantum field theory to analyze how interaction Hamiltonians that violate particle number conservation influence the evolution of particle number expectation values.

Contribution

It introduces a novel approach to derive quantum Boltzmann equations considering particle number non-conserving interactions via the 2PI CTP formalism.

Findings

Demonstrates the contribution of interaction Hamiltonian to particle number evolution.

Provides a framework for analyzing CP violation effects in non-equilibrium quantum systems.

Derives quantum Boltzmann equations incorporating non-conserving interactions.

Abstract

We develop the method analyzing particle number non-conserving phenomena with non-equilibrium quantum field theory. In this study, we consider a CP violating model with interaction Hamiltonian that breaks particle number conservation. To derive the quantum Boltzmann equation for the particle number, we solve Schwinger-Dyson equation, which are obtained from two particle irreducible closed-time-path (2PI CTP) effective action. In this calculation, we show the contribution from interaction Hamiltonian to the time evolution of expectation value of particle number.