Chiral physics in the magnetic field with quark confinement contribution

Abstract

The standard chiral perturbation theory is known to predict much weaker effects in magnetic field, than found in numerical lattice data. To overcome this disagreement we are using the effective chiral confinement Lagrangian, $L_{ECCL}$, containing both chiral and quark degrees of freedom, in the presence of external magnetic field. Without magnetic fields $L_{ECCL}$ reduces to the ordinary chiral Lagrangian $L_{ECL}$, yielding in the lowest order $O({\partial }_{\mu }\phi {)}^2$ all known relations, and providing explicit numerical coefficients in the higher $O(p^4,p^6)$ orders. The inclusion of the magnetic field in $L_{ECCL}$ strongly modifies ECL results for chiral condensates, coupling constants $f_{\pi },f_K$ and masses of chiral mesons. The resulting behavior contains the only parameter -- the string tension $\sigma$, is roughly proportional to $O\left(\frac{eB}{\sigma }\right)$ and agrees very well with lattice data. These results show that the magnetic field acts not only on the chiral degrees of freedom $({\phi }_{\pi })$, but also on quarks in the quark-chiral Lagrangian, which produce much stronger effect.

24 pages, 6 figures

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• Axial anomaly and magnetism of nuclear and quark matter
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• Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field
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Cited by in corpus (19)

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• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Confining and chiral properties of QCD in extremely strong magnetic fields
• Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
• Light pseudo-scalar meson masses under strong magnetic fields within the SU(3) Nambu-Jona-Lasinio model
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Neutral pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model: mixing effects
• Pion-to-vacuum vector and axial vector amplitudes and weak decays of pions in a magnetic field
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Diquark and nucleons under strong magnetic fields in the NJL model
• Pion Pressure in a Magnetic Field
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Strongly interacting matter in extreme magnetic fields
• Chiral dynamics with confinement versus the standard chiral theory
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field