TY - JOUR
T1 - On non-commutative U*(1) gauge models and renormalizability
AU - Blaschke, Daniel N.
AU - Rofner, Arnold
AU - Sedmik, René I P
AU - Wohlgenannt, Michael
PY - 2010/10/22
Y1 - 2010/10/22
N2 - Based on our recent findings regarding (non-)renormalizability of noncommutative U*(1) gauge theories [1, 2] we present the construction of a new type of model. By introducing a soft-breaking term in such a way that only the bilinear part of the action is modified, no interaction between the gauge sector and auxiliary fields occurs. Demanding in addition that the latter form BRST doublet structures, this leads to a minimally altered non-commutative U*(1) gauge model featuring an IR damping behavior. Moreover, the new breaking term is shown to provide the necessary structure in order to absorb the inevitable quadratic IR divergences appearing at one-loop level in theories of this kind. In this paper we compute Feynman rules, symmetries and results for the vacuum polarization together with the one-loop renormalization of the gauge boson propagator and three-point functions.
AB - Based on our recent findings regarding (non-)renormalizability of noncommutative U*(1) gauge theories [1, 2] we present the construction of a new type of model. By introducing a soft-breaking term in such a way that only the bilinear part of the action is modified, no interaction between the gauge sector and auxiliary fields occurs. Demanding in addition that the latter form BRST doublet structures, this leads to a minimally altered non-commutative U*(1) gauge model featuring an IR damping behavior. Moreover, the new breaking term is shown to provide the necessary structure in order to absorb the inevitable quadratic IR divergences appearing at one-loop level in theories of this kind. In this paper we compute Feynman rules, symmetries and results for the vacuum polarization together with the one-loop renormalization of the gauge boson propagator and three-point functions.
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U2 - 10.1088/1751-8113/43/42/425401
DO - 10.1088/1751-8113/43/42/425401
M3 - Article
AN - SCOPUS:78649667638
SN - 1751-8113
VL - 43
JO - Journal of Physics A. Mathematical and Theoretical
JF - Journal of Physics A. Mathematical and Theoretical
IS - 42
M1 - 425401
ER -