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Critical exponents for higher-representation sources in 3D SU(3) gauge theory from CFT

Ferdinando Gliozzi·Silvia Necco
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Abstract

We establish an exact mapping between the multiplication table of the irreducible representations of SU(3) and the fusion algebra of the two-dimensional conformal field theory in the same universality class of 3D SU(3) gauge theory at the deconfining point. In this way the Svetitsky-Yaffe conjecture on the critical behaviour of Polyakov lines in the fundamental representation naturally extends to whatever representation one considers. As a consequence, the critical exponents of the correlators of these Polyakov lines are determined. Monte Carlo simulations with sources in the symmetric two-index representation, combined with finite-size scaling analysis, compare very favourably with these predictions.

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Ferdinando Gliozzi, Silvia Necco. 2006-05-30. Critical exponents for higher-representation sources in 3D SU(3) gauge theory from CFT. https://doi.org/10.1088/1126-6708%2F2006%2F06%2F065

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