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

Franco Ferrari
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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.

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Franco Ferrari. 1993-03-19. On the Quantization of the Chern-Simons Fields Theory on Curved Space-Times: the Coulomb Gauge Approach. https://doi.org/10.1103/physrevd.50.7578

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