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The 2+1 Dimensional Quark/Anti-quark Potential in Fourth Order Color-Dielectric Transverse Lattice QCD

Bob Klindworth·Matt Bierman·Adam Bush
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Abstract

The 2+1 dimensional (2 space dimensions and 1 time dimension) Transverse Lattice is constructed using the Color Dielectric formalism. The dynamics of the Color Dielectric link fields are not known from first principles, so an ansatz for the effective action is made, which is truncated at fourth order in the fields. Since the Transverse Lattice is a Light-Front field theory, it lacks manifest rotational invariance. This lack of manifest rotational invariance is exploited to determine the couplings in the effective action by calculating the Quark/Anti-quark Potential, an observable that is very sensitive to rotational symmetry. This calculation lays the groundwork for a fully 3+1 dimensional treatment of the Transverse Lattice.

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Bob Klindworth, Matt Bierman, Adam Bush. 2002-11-19. The 2+1 Dimensional Quark/Anti-quark Potential in Fourth Order Color-Dielectric Transverse Lattice QCD. https://arxiv.org/abs/hep-ph/0211148

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