Meson masses in electromagnetic fields with Wilson fermions

Bali, G. S. and Brandt, B. B. and Endrodi, G. and Glaessle, B. (2018) Meson masses in electromagnetic fields with Wilson fermions. PHYSICAL REVIEW D, 97 (3): 034505. ISSN 2470-0010, 2470-0029

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Abstract

We determine the light meson spectrum in QCD in the presence of background magnetic fields using quenched Wilson fermions. Our continuum extrapolated results indicate a monotonous reduction of the connected neutral pion mass as the magnetic field grows. The vector meson mass is found to remain nonzero, a finding relevant for the conjectured rho-meson condensation at strong magnetic fields. The continuum extrapolation was facilitated by adding a novel magnetic field-dependent improvement term to the additive quark mass renormalization. Without this term, sizable lattice artifacts that would deceptively indicate an unphysical rise of the connected neutral pion mass for strong magnetic fields are present. We also investigate the impact of these lattice artifacts on further observables like magnetic polarizabilities and discuss the magnetic field-induced mixing between rho-mesons and pions. We also derive Ward-Takashi identities for QCD thorn QED both in the continuum formulation and for ( order a-improved) Wilson fermions.

Item Type: Article
Uncontrolled Keywords: MAGNETIC-FIELD; LATTICE; QCD; POLARIZABILITY; INVARIANCE; SYMMETRY; EQUATION; PROTON;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Gunnar Bali
Depositing User: Dr. Gernot Deinzer
Date Deposited: 19 Mar 2020 12:23
Last Modified: 19 Mar 2020 12:23
URI: https://pred.uni-regensburg.de/id/eprint/15047

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