Vector Supersymmetry and Finite Quantum Correction of Chern-Simons Theory in the Light-Cone Gauge

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, figures drawn by FEYNMAN

Scientific paper

10.1016/S0370-2693(01)00186-1

Vector supersymmetry is shown to exist also in light-cone gauge Chern-Simons theory. Using a gauge invariant regularization scheme, we demonstrate explicitly that the finite quantum correction to the coupling constant of Chern-Simons theory is intimately associated with the breaking of vector supersymmetry at the regularization level. The advantage of investigating such a quantum phenomenon in the light-cone gauge is emphasized and the BRST and vector supersymmetry invariance of quantum effective action is discussed.

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