Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-03-26
Phys.Rev.D64:065018,2001
Physics
High Energy Physics
High Energy Physics - Theory
36 pages
Scientific paper
10.1103/PhysRevD.64.065018
We study systematically the higher order corrections to the parity violating part of the effective action for the Abelian Chern-Simons theory in 2+1 dimensions, using the method of derivative expansion. We explicitly calculate the parity violating parts of the quadratic, cubic and the quartic terms (in fields) of the effective action. We show that each of these actions can be summed, in principle, to all orders in the derivatives. However, such a structure is complicated and not very useful. On the other hand, at every order in the powers of the derivatives, we show that the effective action can also be summed to all orders in the fields. The resulting actions can be expressed in terms of the leading order effective action in the static limit. We prove gauge invariance, both large and small of the resulting effective actions. Various other features of the theory are also brought out.
Brandt Fernando T.
Das Ashok
Frenkel Josif
Taylor John C.
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