Abelian matrix models in two loops

Details Abelian matrix models in two loops Abelian matrix models in two loops

2002-05-06

arxiv.org/abs/hep-th/0205044v1

Nucl.Phys.B659:424-436,2003

Physics

High Energy Physics

High Energy Physics - Theory

16 pages LaTeX

Scientific paper

10.1016/S0550-3213(03)00217-7

We perform a two-loop calculation of the effective Lagrangian for the low--energy modes of the quantum mechanical system obtained by dimensional reduction from 4D, N = 1 supersymmetric QED. The bosonic part of the Lagrangian describes the motion over moduli space of vector potentials A_i endowed with a nontrivial conformally flat metric. We determined the coefficient of the two-loop correction to the metric, which is proportional to 1/A^6. For the matrix model obtained from Abelian 4D, N = 2 theory, this correction vanishes, as it should.

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