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

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

1993-03-19

arxiv.org/abs/hep-th/9303117v1

Phys.Rev. D50 (1994) 7578-7583

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.50.7578

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.

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