Thermal Renormalons in Scalar Field Theory

Details Thermal Renormalons in Scalar Field Theory Thermal Renormalons in Scalar Field Theory

1999-11-18

arxiv.org/abs/hep-th/9911151v2

Mod.Phys.Lett. A15 (2000) 1181-1190

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 3 figures, uses feynMF. Minor corrections

Scientific paper

10.1142/S0217732300001481

In the frame of the scalar theory $g \phi ^{4}$, 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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