Path Integral Quantization of Noncommutative Complex Scalar Field

Details Path Integral Quantization of Noncommutative Complex Scalar Field Path Integral Quantization of Noncommutative Complex Scalar Field

2011-09-22

arxiv.org/abs/1109.4741v1

Physics

High Energy Physics

High Energy Physics - Theory

Revtex style, 31 pages

Scientific paper

Using noncommutative deformed canonical commutation relations, a model describing a noncommutative complex scalar field theory is considered. Using the path integral formalism, the noncommutative free and exact propagators are calculated to one-loop order and to the second order in the parameter of noncommutativity. Dimensional regularization was used to remove ultraviolet divergences that arise from loop graphs. It has been shown that these divergences may also be absorbed into a redefinition of the parameters of the theory.

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