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- W2000262516 abstract "In lattice gauge theory, many computations such as the strong coupling expansions, mean field theory, or the few plaquette models require the evaluation of the one-link integral in the presence of an arbitrary N × N complex matrix source (J). For SU(N) gauge theories, we express our general solution to the external field problem as an integral over the maximal abelian subgroup [U(1)]N−1∫dUeϒr(J+U+U+J)=∫∏i=1Ndøiδp(Σøi)eS0+InG where S0 = 2Σkzk cos(φk − θ), zj are eigenvalues of √JJ+, e2iNθ=detJ/detJ+, and G is an appropriate jacobian determinant. Our explicit solution follows from differential Schwinger-Dyson equations cast in a separable form by using fermionic variables, and the special cases of N = 2, 3 and ∞ agree with earlier derivations." @default.
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- W2000262516 date "1981-12-01" @default.
- W2000262516 modified "2023-10-18" @default.
- W2000262516 title "The external field problem for QCD" @default.
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- W2000262516 doi "https://doi.org/10.1016/0550-3213(81)90046-8" @default.
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