Magnetic renormalons in a scalar self interacting $\lambda {\varphi }^4$ theory

Abstract

We present an analysis about the influence of an external magnetic field on renormalons in a self interacting theory $\lambda {\varphi }^4$. In the weak magnetic field region, using an appropriate expansion for the Schwinger propagator's, we find new renormalons as poles on the real axis of the Borel plane, whose position do not depend on the magnetic field, but where the residues acquire in fact a magnetic dependence. In the strong magnetic limit, working in the lowest Landau level approximation (LLLA), these new poles are not longer present. We compare the magnetic scenario with previous results in the literature concerning thermal effects on renormalons in this theory.

7 pages, 4 figures. Typos and misprints have been corrected. Explicit calculations have also been given, the conclusions remain the same as in the first version. Accepted for publication in Phys. Rev. D

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Cited by in corpus (2)

• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Renormalons beyond the Borel plane