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Thermal Renormalons in Scalar Field Theory

M. Loewe, C. Valenzuela

hep-tharXiv:hep-th/9911151

Abstract

In the frame of the scalar theory g ϕ4, we explore the occurrence of thermal renormalons, i. e. temperature dependent singularities in the Borel plane. The discussion of a particular renormalon type diagram at finite temperature, using Thermofield Dynamics, allows us to establish that these singularities actually get a temperature dependence. This dependence appears in the residues of the poles, remaining their positions unchanged with temperature.

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