Schwinger-Dyson Equations and Chiral Symmetry Breaking in 2D Induced Gravity
E. Elizalde, S.D. Odintsov, A. Romeo, Yu.I. Shil'nov
TL;DR
This paper derives Schwinger-Dyson equations for 2D induced gravity with fermions and numerically investigates their solutions, indicating potential chiral symmetry breaking in the model.
Contribution
It formulates the Schwinger-Dyson equations in conformal gauge for 2D induced gravity coupled to fermions and explores their solutions numerically.
Findings
Numerical solutions suggest chiral symmetry breaking occurs.
Schwinger-Dyson equations are derived in the ladder approximation.
Analysis is performed in conformal gauge on a flat background.
Abstract
The Schwinger-Dyson equations in the ladder approximation for induced gravity coupled to fermions on a flat background are obtained in conformal gauge. A numerical study of these equations shows the possiblity of chiral symmetry breaking in this theory.
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