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NON-COMMUTATIVE GAUGE THEORY ON FUZZY ℂP2

2005
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Modern Physics Letters A
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Gauge theory on fuzzy CP 2 can be defined as a multi-matrix model, which consistently combines a UV cutoff with the classical symmetries of CP 2 . The degrees of freedom are 8 hermitian matrices of finite size, 4 of which are tangential gauge fields and 4 are auxiliary variables. The model depends on a noncommutativity parameter 1 N , and reduces to the usual U (n) Yang-Mills action on the 4-dimensional classical CP 2 in the limit N → ∞. The quantization of the model is defined in terms of a

doi:10.1142/s0217732305017809
fatcat:kzhovfln3fhbtdfs2z54hp3ojm