Thermomagnetic renormalons in a scalar self-interacting $\lambda \phi^4$ theory
Abstract
In this article we extend a previous discussion about the influence of an external magnetic field on renormalons in a self interacting scalar theory by including now temperature effects, in the imaginary formalism, together with an external weak external magnetic field. We show that the location of poles in the Borel plane does not change, getting their residues, however, a dependence on temperature and on the magnetic field.The effects of temperature and the magnetic field strength on the residues turn out to be opposite. We present a detailed discussion about the evolution of these residues, showing technical details involved in the calculation.
Keywords
Cite
@article{arxiv.2105.01156,
title = {Thermomagnetic renormalons in a scalar self-interacting $\lambda \phi^4$ theory},
author = {M. Loewe and L. Monje and R. Zamora},
journal= {arXiv preprint arXiv:2105.01156},
year = {2021}
}
Comments
Small changes have been introduced in the text. The new version has been accepted for publication in Physical Review D. arXiv admin note: text overlap with arXiv:1901.06426