NON-COMMUTATIVE GAUGE THEORY ON FUZZY ℂP2

HAROLD STEINACKER
2005 Modern Physics Letters A  
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
more » ... ed in terms of a path integral, which is manifestly finite.
doi:10.1142/s0217732305017809 fatcat:kzhovfln3fhbtdfs2z54hp3ojm