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arXiv · hep-lat/0210002

The Color--Flavor Transformation of induced QCD

Stephane Nonnenmacher·Yasha Shnir
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Abstract

The color-flavor transformation is applied to the U(N) lattice gauge model, in which the gauge theory is induced by a heavy chiral scalar field sitting on lattice sites. The flavor degrees of freedom can encompass several `generations' of the auxiliary field, and for each generation, remaining indices are associated with the elementary plaquettes touching the lattice site. The effective, color-flavor transformed theory is expressed in terms of gauge singlet matrix fields carried by lattice links. The effective action is analyzed for a hypercubic lattice in arbitrary dimension. The saddle points equations of the model in the large-N limit are discussed.

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Stephane Nonnenmacher, Yasha Shnir. 2002-10-01. The Color--Flavor Transformation of induced QCD. https://doi.org/10.1142/9789812704269_0037

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