TY - JOUR

T1 - Mesons in strong magnetic fields

T2 - (I) General analyses

AU - Hattori, Koichi

AU - Kojo, Toru

AU - Su, Nan

N1 - Funding Information:
This work was supported by NSF Grants PHY09-69790 and PHY13-05891 (T.K.), JSPS Grants-in-Aid No. 25287066 (K.H.), and the Helmholtz International Center for FAIR within the framework of the LOEWE program launched by the State of Hesse (N.S.).
Publisher Copyright:
© 2016 Elsevier B.V.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - We study properties of neutral and charged mesons in strong magnetic fields |eB|≫ΛQCD2 with ΛQCD being the QCD renormalization scale. Assuming long-range interactions, we examine magnetic-field dependences of various quantities such as the constituent quark mass, chiral condensate, meson spectra, and meson wavefunctions by analyzing the Schwinger-Dyson and Bethe-Salpeter equations. Based on the density of states obtained from these analyses, we extend the hadron resonance gas (HRG) model to investigate thermodynamics at large B. As B increases the meson energy behaves as a slowly growing function of the meson's transverse momenta, and thus a large number of meson states is accommodated in the low energy domain; the density of states at low temperature is proportional to B2. This extended transverse phase space in the infrared regime significantly enhances the HRG pressure at finite temperature, so that the system reaches the percolation or chiral restoration regime at lower temperature compared to the case without a magnetic field; this simple picture would offer a gauge invariant and intuitive explanation of the inverse magnetic catalysis.

AB - We study properties of neutral and charged mesons in strong magnetic fields |eB|≫ΛQCD2 with ΛQCD being the QCD renormalization scale. Assuming long-range interactions, we examine magnetic-field dependences of various quantities such as the constituent quark mass, chiral condensate, meson spectra, and meson wavefunctions by analyzing the Schwinger-Dyson and Bethe-Salpeter equations. Based on the density of states obtained from these analyses, we extend the hadron resonance gas (HRG) model to investigate thermodynamics at large B. As B increases the meson energy behaves as a slowly growing function of the meson's transverse momenta, and thus a large number of meson states is accommodated in the low energy domain; the density of states at low temperature is proportional to B2. This extended transverse phase space in the infrared regime significantly enhances the HRG pressure at finite temperature, so that the system reaches the percolation or chiral restoration regime at lower temperature compared to the case without a magnetic field; this simple picture would offer a gauge invariant and intuitive explanation of the inverse magnetic catalysis.

KW - Hadron resonance gas

KW - Inverse magnetic catalysis

KW - Meson structure

KW - Strong magnetic fields

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U2 - 10.1016/j.nuclphysa.2016.03.016

DO - 10.1016/j.nuclphysa.2016.03.016

M3 - Article

AN - SCOPUS:84962300223

SN - 0375-9474

VL - 951

SP - 1

EP - 30

JO - Nuclear Physics A

JF - Nuclear Physics A

ER -