Ultra-violet Finite Noncommutative Theories
نویسندگان
چکیده
We establish the ultraviolet finiteness of various classes of noncommutative gauge theories.
منابع مشابه
Ultra-violet Finiteness in Noncommutative Supersymmetric Theories
We consider the ultraviolet divergence structure of general noncommutative super-symmetric U (N c) gauge theories, and seek theories which are all-orders finite. September 2001
متن کاملNew Scaling Limit for Fuzzy Spheres
Using a new scaling and a cut-off procedure, we show that φ theory on a deformed noncommutative R can be obtained from the corresponding theory on the fuzzy S × S. The star-product on this deformed R 4 is non-associative, and the theory naturally has an ultra-violet cut-off, Λ = 2/θ. We show that UV-IR mixing is absent to one loop, and that the β-function is the same as that of an ordinary φ th...
متن کاملNoncommutative Regularization for the Practical Man
It has been proposed that the noncommutative geometry of the “fuzzy” 2-sphere provides a nonperturbative regularization of scalar field theories. This generalizes to compact Kähler manifolds where simple field theories are regularized by the geometric quantization of the manifold. In order to permit actual calculations and the comparison with other regularizations, I describe the perturbation t...
متن کاملInteracting noncommutative solitons (vacua)
Recent development of string theory has shown that noncommutative (NC) models can arise in certain limits of String Theory [1]. Moreover the String Field Theory [2], which is the theory of second quantised string, is based on noncommutative geometry too. Due to their proximity to String Theory noncommutative theories have many features in common with it. It is worthwhile to mention the IR/UV mi...
متن کاملGauge invariant regularisation in the ERG approach
A gauge invariant regularisation which can be used for non-perturbative treatment of Yang-Mills theories within the exact renormalization group approach is constructed. It consists of a spontaneously broken SU(N |N) super-gauge extension of the initial Yang-Mills action supplied with covariant higher derivatives. We demonstrate that the extended theory in four dimensions is ultra-violet finite ...
متن کامل