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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

classification hep-lathep-thmath-phmath.MP
keywords integralspolynomialapplicationapplicationscalculateevaluatefunctionsgauge
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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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    A modified Grassmann tensor-network algorithm computes strong-coupling coefficients of the QCD partition function up to order beta^3, and fit ansatze extend the quark number density and chiral condensate beyond the ex...

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