2020/06/13 by Christoph P. Hofmann · 9 citations
Physics and Astronomy · #Chiral perturbation theory #High-Energy Particle Collisions Research #Loop (graph theory) #Magnetic field #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Pion #QCD vacuum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Quark #Thermal quantum field theory #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.102.094010
published in Physical review. D/Physical review. D. 102(9) (American Physical Society) · 27 pages, 4 figures
arxiv created 2020/06/13 · openalex publication_date 2020/11/12 · arxiv updated 2020/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present two-loop results for the quark condensate in an external magnetic field within chiral perturbation theory using coordinate-space techniques. At finite temperature, we explore the impact of the magnetic field on the pion-pion interaction in the quark condensate for arbitrary pion masses and derive the correct weak magnetic field expansion in the chiral limit. At zero temperature, we provide the complete two-loop representation for the vacuum energy density and the quark condensate.