Schwinger-Dyson Equations in 2D Induced Gravity in Covariant Gauges
E. Elizalde, S.D. Odintsov, Yu.I. Shil'nov
TL;DR
This paper formulates Schwinger-Dyson equations for 2D induced quantum gravity with fermions in covariant gauges, exploring their consistency and potential for chiral symmetry breaking through numerical analysis.
Contribution
It introduces a consistent formulation of Schwinger-Dyson equations in covariant gauges for 2D induced gravity with fermions and analyzes their solutions.
Findings
Equations are consistent in Landau-type gauge for negative cosmological constant.
Numerical analysis suggests possible chiral symmetry breaking.
Dependence of symmetry breaking on coupling constant observed.
Abstract
We formulate the Schwinger-Dyson equations in the ladder approximation for 2D induced quantum gravity with fermions using covariant gauges of harmonic type. It is shown that these equations can be formulated consistently in a gauge of Landau type (for negative cosmological constant). A numerical analysis of the equations hints towards the possibility of chiral symmetry breaking, depending on the value of the coupling constant.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.