Abstract
We present a canonical quantization for a gauge field theory in a (2+1) dimensional space-time in both Dirac brackets and Schwinger action principle formalisms.
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One can compare this field with the auxiliary field in the Gross-Neveu model, introduced to eliminate the self-coupling of the fermionic current
J.M. Martínez-Fernández, C. Wotzasek: in preparation
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We want to thank Shibaji Roy for showing us the way out of some difficulties while doing this calculation
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Martínez-Fernández, J.M., Wotzasek, C. Constrained quantization of a topologically massive gauge theory in (2+1)-dimensions. Z. Phys. C - Particles and Fields 43, 305–312 (1989). https://doi.org/10.1007/BF01588219
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DOI: https://doi.org/10.1007/BF01588219