Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature

Abstract

In this article we revisit the discussion of renormalons in the frame of a scalar self-interacting $\lambda {\varphi }^4$ theory in the presence of thermomagnetic effects, i.e magnetic and thermal effects. Our results for the evolution of the residues is now given by an explicit analytic expression, valid for all values of temperature, without the necessity of separating the discussion in a low- and a high temperature region analyses. We carry out the same discussion for the case of an external constant electric field, obtaining also in this case an analytic expression for the whole range o temperature. In both cases, the location of the poles in the Borel plane does not change with respect to the vacuum case. Their residues, however, acquire a dependence on temperature and the external field. Results are presented for the evolution of residues in the thermomagnetic and thermoelectric cases. We show a comparison with our previous results in the thermomagnetic case, presenting also in detail the mathematical techniques needed for our analytic expressions to be valid in the whole range of temperature.

New comments were added. Present version accepted for publication in Physical Review D. arXiv admin note: substantial text overlap with arXiv:2105.01156, arXiv:1901.06426

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Cited by in corpus (6)

• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Resurgence and self-completion in renormalized gauge theories
• Quark matter under strong electric fields in the Linear Sigma Model coupled with quarks
• Strongly interacting matter in extreme magnetic fields
• Charged scalars at finite electric field and temperature in the optimized perturbation theory
• Gluon Mass Generation from Renormalons and Resurgence