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Transformations of real-time finite-temperature Feynman rules

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arxiv hep-ph/9406214 v1 pith:GKTMTXMA submitted 1994-06-02 hep-ph

Transformations of real-time finite-temperature Feynman rules

classification hep-ph
keywords basisfunctionsreal-timecertainfinite-temperaturematrixpropagatorsome
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider transformations of the $2\times2$ propagator matrix in real-time finite-temperature field theory, resulting in transformed $n$--point functions. As special cases of such a transformation we examine the Keldysh basis, the retarded/advanced $RA$ basis, and a Feynman-like $F\bar F$ basis, which differ in this context as to how ``economically'' certain constraints on the original propagator matrix elements are implemented. We also obtain the relation between some of these real-time functions and certain analytic continuations of the imaginary-time functions. Finally, we compare some aspects of these bases which arise in practical calculations.

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    Conjecture reducing bulk loop discontinuity integrals in black hole Schwinger-Keldysh geometry to exterior real-time finite-temperature loop integrals, checked at one to three loops for low-point functions.