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Inspired by the renormalizability of the non-commutative Phi^4 model with added oscillator term, we formulate a non-commutative gauge theory, where the oscillator enters as a gauge fixing term in a BRST invariant manner.
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M. R. Douglas and N. A. Nekrasov, Noncommutative field theory
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R. J. Szabo, Quantum field theory on noncommutative spaces
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H. Grosse and R. Wulkenhaar, Renormalisation of phi**4 theory on noncommutative R**2 in the matrix base
2003
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H. Grosse and R. Wulkenhaar, The beta-function in duality-covariant noncommutative phi**4 theory
2004
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H. Grosse and R. Wulkenhaar, Renormalisation of phi**4 theory on noncommutative R**4 in the matrix base
2005
Cited alongside, same era.
V. Rivasseau, F. Vignes-Tourneret and R. Wulkenhaar, Renormalization of noncommutative phi**4-theory by multi- scale analysis
2006
Cited alongside, same era.
R. Gurau, J. Magnen, V. Rivasseau and F. Vignes-Tourneret, Renormalization of non-commutative phi**4(4) field theory in x space
2006
Cited alongside, same era.
V. Rivasseau, Non-commutative renormalization
Cited in the paper.
V. Periwal, Infrared regularization of non-Abelian gauge theories
Cited in the paper.
M. Disertori, V. Rivasseau, Two and three loops beta function of non commutative Phi(4)**4 theory
2007
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M. Disertori, R. Gurau, J. Magnen, V. Rivasseau, Vanishing of Beta Function of Non Commutative Phi**4(4) Theory to all orders
2007
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A. de Goursac, J.-C. Wallet and R. Wulkenhaar, Noncommutative induced gauge theory
2007
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H. Grosse and M. Wohlgenannt, Induced gauge theory on a noncommutative space
2007
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