Harold Steinacker JHEP03(2005)075 doi:10.1088/1126-6708/2005/03/075
A non-perturbative approach to non-commutative scalar field theory
Harold Steinacker1
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2nθ via fuzzy spaces for the free and weakly coupled case, and extends naturally to the non-perturbative domain. It allows to study the renormalization of the effective potential using matrix model techniques, and is closely related to UV/IR mixing. In particular we find a phase transition for the 
4 model at strong coupling, to a phase which is identified with the striped or matrix phase. The method is expected to be applicable in 4 dimensions, where a critical line is found which terminates at a non-trivial point, with nonzero critical coupling. This provides evidence for a non-trivial fixed-point for the 4-dimensional NC 4 model.
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E-print Number: hep-th/0501174
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Issue 03 (March 2005)
Received 10 February 2005, accepted for publication 29 March 2005
Published 26 April 2005
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A non-perturbative approach to non-commutative scalar field theory
Harold Steinacker JHEP03(2005)075
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