Resummation of Perturbation Series in Non-Equilibrium Scalar Field Theory

Details Resummation of Perturbation Series in Non-Equilibrium Scalar Field Theory Resummation of Perturbation Series in Non-Equilibrium Scalar Field Theory

1994-07-07

arxiv.org/abs/hep-ph/9407249v1

Phys.Lett. B341 (1995) 325-331

Physics

High Energy Physics

High Energy Physics - Phenomenology

11pp, 4 figures (uuencoded file), preprint CERN-TH.7336/94

Scientific paper

10.1016/0370-2693(94)01327-9

The general behaviour of perturbation series in non-equilibrium scalar field theory is analysed in some detail, with a particular emphasis on the ``pathological terms'', generated by multiple products of $\delta$-functions. Using an intuitive regularization method, it is shown that these terms give large contributions at all orders, even when considering small deviations from equilibrium. Fortunately, these terms can also be resummed and I give the general expressions for the resummed propagators in non-equilibrium scalar field theory, regardless of the size of deviations from equilibrium.

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