On q-SU(3) Gauge Theory
Robert J. Finkelstein (U. of California, Los Angeles)
TL;DR
This paper explores the theoretical implications of replacing the SU(3) gauge group with its quantum group counterpart SU_q(3), revealing measurable differences and limitations in constructing a local formalism.
Contribution
It introduces a globally consistent SU_q(3) formalism for gauge theories and highlights the absence of a local Yang-Mills formalism for SU_q(3).
Findings
Measurable differences between SU(3) and SU_q(3) gauge theories.
Existence of a global SU_q(3) formalism.
No local Yang-Mills formalism for SU_q(3).
Abstract
We study the replacement of SU(3) by SU_q(3) in standard gauge theories. At the level of a global theory there is a physically sensible SU_q(3) formalism with measurable differences from the SU(3) theory. In contrast to the SU_q(2) case, where it is possible to construct a q-electroweak theory, there is no local (Yang-Mills) formalism for SU_q(3).
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics