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.

arXiv comment7 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

References in corpus (33)

• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Instantons in QCD
• Renormalons
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• Inverse magnetic catalysis in the linear sigma model with quarks
• ${\pi }_0$ pole mass calculation in a strong magnetic field and lattice constraints
• The melting of charmonium in a magnetic field from an effective AdS/QCD model
• Weak decay constant of neutral pions in a hot and magnetized quark matter
• Quarkonium dissociation in quark-gluon plasma via ionization in magnetic field
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• D mesons in a magnetic field
• The magnetized effective QCD phase diagram
• Effective potential at finite temperature in a constant magnetic field I: Ring diagrams in a scalar theory
• QCD sum rules for magnetically induced mixing between ${\eta }_c$ and $J/\psi$
• Properties of magnetized neutral mesons within a full RPA evaluation
• Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules
• Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case
• Heavy meson spectroscopy under strong magnetic field
• Weak decay of magnetized pions
• Pion decay constants in a strong magnetic field
• Spectral properties of $\rho$ meson in a magnetic field
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• QCD determination of the magnetic field dependence of QCD and hadronic parameters
• Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
• Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
• Towards the QED beta function and renormalons at $1/N_f^2$ and $1/N_f^3$
• Resummation and renormalons in a general Quantum Field Theory
• Magnetic field dependence of nucleon parameters from QCD sum rules
• Magnetic Corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Thermal Renormalons in Scalar Field Theory
• A new perspective for the magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Renormalons beyond the Borel plane
• Appearance and disappearance of thermal renormalons

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