Thermal Renormalons in Scalar Field Theory

Abstract

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

12 pages, 3 figures, uses feynMF. Minor corrections

References in corpus (2)

• Renormalons
• QCD determination of the axial-vector coupling of the nucleon at finite temperature

Cited by in corpus (10)

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• Resummation and renormalons in a general Quantum Field Theory
• Thermodynamics of the O(N) Nonlinear Sigma Model in 1+1 Dimensions
• Thermal Behaviour of $\pi -\pi$ Scattering Lengths in the Nambu--Jona-Lasinio model
• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Thermomagnetic renormalons in a scalar self-interacting $\lambda {\varphi }^4$ theory
• Renormalons beyond the Borel plane
• Magnetic renormalons in a scalar self interacting $\lambda {\varphi }^4$ theory
• Pade-related resummations of the pressure of quark-gluon plasma by approximate inclusion of g**6-terms
• Appearance and disappearance of thermal renormalons