On the Quantization of the Chern-Simons Fields Theory on Curved Space-Times: the Coulomb Gauge Approach

Abstract

We consider here the Chern-Simons field theory with gauge group SU(N) in the presence of a gravitational background that describes a two-dimensional expanding ``universe". Two special cases are treated here in detail: the spatially flat {\it Robertson-Walker} space-time and the conformally static space-times having a general closed and orientable Riemann surface as spatial section. The propagator and the vertices are explicitely computed at the lowest order in perturbation theory imposing the Coulomb gauge fixing.

15 pp., Preprint LMU-TPW 93-5, (Plain TeX + Harvmac)

References in corpus (1)

• Canonical Chern-Simons Theory and the Braid Group on a Riemann Surface

Cited by in corpus (7)

• Solving The N-Body Problem in (2+1)-Gravity
• Non-Perturbative Particle Dynamics
• (2+1)-Gravity with Moving Particles in an Instantaneous Gauge
• Dirac Quantization of the Chern-Simons Field Theory in the Coulomb Gauge
• Operator Formalism on the $Z_n$ Symmetric Algebraic Curves
• Perturbative Analysis of Chern-Simons Field Theory in the Coulomb Gauge
• The Hamilton-Jacobi treatment for non-abelian Chern-Simons system