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Computation of the spectral density of two-point functions: Complex masses, cut rules, and beyond

Computation of the spectral density of two-point functions: Complex masses, cut rules, and beyond

We present a steepest descent calculation of the Kallen-Lehmann spectral density of two-point functions involving complex conjugate masses in Euclidean space. This problem occurs in studies of (gauge) theories with Gribov-like propagators. As the presence of complex masses and the use of Euclidean space brings the theory outside of the …