Nonlocal low-energy effective action for gravity with torsion

TL;DR

This paper derives the low-energy effective action for gravity with torsion by integrating out matter fields, highlighting nonlocal terms and discussing implications for particle production probabilities.

Contribution

It introduces a method to compute nonlocal and divergent terms in the effective action for gravity with torsion using local momentum representation and Riemann normal coordinates.

Findings

Derived the effective action including nonlocal terms

Computed divergent contributions in the effective action

Discussed applications to particle production probabilities

Abstract

In this work we calculate the low-energy effective action for gravity with torsion, obtained after the integration of scalar and fermionic matter fields, using the local momentum representation based on the Riemann normal coordinates expansion. By considering this expansion around different space-time points, we also compute the nonlocal terms together with the more usual divergent ones. Finally we discuss the applicability of our results to the calculation of particle production probabilities.