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Abelian matrix models in two loops

Abstract : 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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Contributor : Dominique Girod <>
Submitted on : Tuesday, April 11, 2006 - 1:42:27 PM
Last modification on : Thursday, February 7, 2019 - 4:12:31 PM

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A.V. Smilga. Abelian matrix models in two loops. Nuclear Physics B, Elsevier, 2003, 659, pp.424-436. ⟨10.1016/S0550-3213(03)00217-7⟩. ⟨in2p3-00025921⟩



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