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Matsubara Contour 1

Initial contour C for evaluating Matsubara frequency sums. C runs counterclockwise around the imaginary p₀-axis where the Matsubara frequencies ωₙ = 2πn/β lie, but excludes the poles of the propagator 1/(-p₀² + x²). The integrand includes the Bose-Einstein distribution which has simple poles at all Matsubara frequencies with residue T.


Matsubara Contour 1

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matsubara-contour-1.typ (37 lines)