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SU(N) polynomial integrals and some applications

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arxiv 1812.06069 v1 pith:7DXGGKMC submitted 2018-12-14 hep-lat hep-thmath-phmath.MP

SU(N) polynomial integrals and some applications

classification hep-lat hep-thmath-phmath.MP
keywords integralspolynomialapplicationapplicationscalculateevaluatefunctionsgauge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We use the method of the Weingarten functions to evaluate SU(N) integrals of the polynomial type. As an application we calculate various one-link integrals for lattice gauge and spin SU(N) theories.

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    In the 't Hooft-Veneziano limit the Polyakov loop model with exact static quark determinant reduces to a deformed unitary matrix model that is solved exactly, yielding free energy, Polyakov loop expectation value, qua...