Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics

Abstract

While it is known that the QCD vacuum in a magnetic background exhibits both diamagnetic and paramagnetic characteristics in the low-energy domain, a systematic investigation of the corresponding phases emerging in the pion-dominated regime is still lacking. Here, within two-flavor chiral perturbation theory, taking into account the pion-pion interaction, we analyze the subtle interplay between zero- and finite-temperature portions in the magnetization and magnetic susceptibility. The dependence of the magnetic susceptibility on temperature and magnetic field strength in the paramagnetic and diamagnetic phase is non-monotonic. Our low-energy analysis complements lattice QCD that is currently operating at higher temperatures and stronger magnetic fields.

17 pages, 5 figures

References in corpus (4)

• Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation
• SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• Magnetic susceptibility at zero and nonzero chemical potential in QCD and QED

Cited by in corpus (6)

• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Magnetism of QCD matter and pion mass from tensor-type spin polarization and anomalous magnetic moment of quarks
• Static magnetic susceptibility in finite-density SU(2) lattice gauge theory
• Self-consistent thermodynamic potential for magnetized QCD matter
• Dimensional reduction and the generalized pion in a magnetic field within the NJL model
• Vacuum free energy, quark condensate shifts and magnetization in three-flavor chiral perturbation theory to $\mathcal{O}(p^6)$ in a uniform magnetic field