Year: 2011
Type: article
Abstract: We elaborate on the dynamics of noncommutative two-dimensional gauge field theories . We consider U ( N ) gauge theories with fermions in either the fundamental or the adjoint representation. Noncommutativity leads to a rather non-trivial dependence on theta (the noncommutativity parameter) and to a rich dynamics. In particular the mass spectrum of the noncommutative U ( 1 ) theory with adjoint matter is similar to that of ordinary (commutative) two-dimensional large- N SU ( N ) gauge theory with adjoint matter. The noncommutative version of the ʼt Hooft model receives a non-trivial contribution to the vacuum polarization starting from three-loops order. As a result the mass spectrum of the noncommutative theory is expected to be different from that of the commutative theory.
Source: Physics Letters B
Author: Adi Armoni
Institution: Swansea University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid:
Award: G2990481418
OpenAlex ID: W2001236735