Schwinger- Dyson Equations and Dynamical Symmetry Breaking in Quantum R^2- gravity

TL;DR

This paper investigates dynamical chiral symmetry breaking in higher-derivative quantum gravity using Schwinger-Dyson equations, revealing fermion mass generation and phase transitions in various gauges.

Contribution

It provides numerical solutions to Schwinger-Dyson equations in higher-derivative quantum gravity, demonstrating dynamical symmetry breaking in both 2D and 4D cases.

Findings

Dynamical fermion mass generation occurs in the model.

Second-order phase transition accompanies mass generation.

Results are consistent across different gauges.

Abstract

The dymamical chiral symmetry breaking in higher- derivative quantum gravity has been investigated on the flat background. The Schwinger- Dyson equations numerical solutions have been found in the ladder approximation. Both two- and four- dimensional cases have been considered. The dymamical fermion mass generation accompanied by the second- order phase transition has been shown to take place in a different gauges.