q-Gauge Theory

Details q-Gauge Theory q-Gauge Theory

1995-06-12

arxiv.org/abs/q-alg/9506014v1

Int.J.Mod.Phys. A11 (1996) 733-746

Mathematics

Quantum Algebra

Tex file, 18 pages

Scientific paper

10.1142/S0217751X9600033X

We examine some issues that arise in the q-deformation of a gauge theory. If the deformation is carried out by replacing the equal time commutators of free fields by the corresponding q-commutators, the resulting propagators are not very much different from those of the undeformed theory as long as one is dealing with weak fields; but the theory still violates causality. If one postulates a q-deformed S matrix, the corresponding q-causal commutator has 2 poles of different strength and the result again amounts to a deformation of the Lorentz group.

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