Quantum Corrections on Fuzzy Sphere
高能物理 - 理论
2011-07-19 v3
摘要
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.
引用
@article{arxiv.hep-th/0303120,
title = {Quantum Corrections on Fuzzy Sphere},
author = {T. Imai and Y. Kitazawa and Y. Takayama and D. Tomino},
journal= {arXiv preprint arXiv:hep-th/0303120},
year = {2011}
}
备注
27 pages, 1 figure, published version in Nucl Phys. B