2017/07/31 by G. S. Bali, Gunnar Bali, Gunnar S. Bali +9 · 123 citations
Physics and Astronomy · #Extrapolation #Fermion #High-Energy Particle Collisions Research #Lattice QCD #Magnetic field #Meson #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Renormalization #Rho meson #hep-lat #hep-ph #nucl-th
paper · pdf · open access · doi:10.1103/physrevd.97.034505
published in Physical review. D/Physical review. D. 97(3) (American Physical Society) · 32 pages, 22 figures; v2: revtex4 format, updated references, extended discussions, included study of finite size effects, conclusions unchanged; v3: improved discussions on crucial points, conclusions unchanged, new version to match published version
openalex publication_date 2018/02/12 · arxiv created 2018/03/05 · arxiv updated 2018/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 ρ-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 ρ-mesons and pions. We also derive Ward-Takashi identities for QCD+QED both in the continuum formulation and for (order a-improved) Wilson fermions.