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arXiv · hep-th/9602094

$SU_q(2)$ Lattice Gauge Theory

G. Bimonte·A. Stern·P. Vitale
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Abstract

We reformulate the Hamiltonian approach to lattice gauge theories such that, at the classical level, the gauge group does not act canonically, but instead as a Poisson-Lie group. At the quantum level, it then gets promoted to a quantum group gauge symmetry. The theory depends on two parameters - the deformation parameter $λ$ and the lattice spacing $a$. We show that the system of Kogut and Susskind is recovered when $λ\rightarrow 0$, while QCD is recovered in the continuum limit (for any $λ$). We thus have the possibility of having a two parameter regularization of QCD.

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BibTeXRIS

G. Bimonte, A. Stern, P. Vitale. 1996-02-17. $SU_q(2)$ Lattice Gauge Theory. https://doi.org/10.1103/physrevd.54.1054

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