Schwinger-Dyson Equations in 2D Induced Gravity in Covariant Gauges

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.

11 pages, LaTeX file, 2 figures (available upon request), 94/7/20

Cited by in corpus (2)

• Phase structure of renormalizable four-fermion models in spacetimes of constant curvature
• Review of strongly coupled regimes in gravity with Dyson-Schwinger approach