Quantum corrections on fuzzy sphere

We investigate quantum corrections in non-commutative gauge theory on fuzzy sphere. We study translation invariant models which classically favor a single fuzzy sphere with U(1) gauge group. We evaluate the effective actions up to the two-loop level. We find non-vanishing quantum corrections at each...

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Bibliographic Details
Published in:Nuclear physics. B 2003-08, Vol.665, p.520-544
Main Authors: Imai, Takaaki, Kitazawa, Yoshihisa, Takayama, Yastoshi, Tomino, Dan
Format: Article
Language:English
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Summary:We investigate quantum corrections in non-commutative gauge theory on fuzzy sphere. We study translation invariant models which classically favor a single fuzzy sphere with U(1) gauge group. We evaluate the effective actions up to the two-loop level. We find non-vanishing quantum corrections at each order even in supersymmetric models. In particular the two-loop contribution favors U( n) gauge group over U(1) contrary to the tree action in a deformed IIB matrix model with a Myers term. We further observe close correspondences to 2-dimensional quantum gravity.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(03)00491-7