Thermal effects in perturbative noncommutative gauge theories

Abstract

The thermodynamics of gauge theories on the noncommutative plane is studied in perturbation theory. For U (1) noncommutative Yang-Mills we compute the first quantum correction to the ideal gas free energy density and study their behavior in the low and high temperature regimes. Since the noncommutativity scale effectively cutoff interactions at large distances, the theory is regular in the infrared. In the case of U (N ) noncommutative Yang-Mills we evaluate the two-loop free energy density and find that it depends on the noncommutativity parameter through the contribution of non-planar diagrams. 12/991

Wess–Zumino–Witten and fermion models in noncommutative space

“…In this case, there is a factor relating the results in the adjoint and the fundamental which corresponds to the quadratic Casimir C(G) in the adjoint, as first reported in [17] (see for example [18] for a detailed derivation). Now, it was observed in [19]- [21] that diagrams in noncommutative U(1) gauge theories could be constructed in terms of those in ordinary non-Abelian gauge theory with C(G) = 2; this is precisely what we have found in the present 2-dimensional model. Note that the explicit form of integrals associated to the diagram in Fig.1 for each fermion representation can be constructed if one take as generators for the Moyal algebra generators t and T in the adjoint and the fundamental representation such that…”

Hard thermal effects in noncommutativeU(N)Yang-Mills theory

“…Such gauge field theories are non-local and exhibit many intriguing properties, which have been much studied in recent years (for reviews and a complete list of references see, for example, [3,4]. In particular, several thermal effects in noncommutative theories have been already examined in a series of interesting papers [5,6,7,8].…”

Noncommutative black-body radiation: Implications on cosmic microwave background

“…For the more important IR limit, the reason comes back to the fact that noncommutativity scale effectively cuts off interactions at large distances [15]. Using the relation U(T ) = F − T ∂ T F , we have for the energy-density U(T )…”