Mesons in strong magnetic fields: (I) General analyses

Hattori, Koichi; Kojo, Toru; Su, Nan

doi:10.1016/j.nuclphysa.2016.03.016

Title: Mesons in strong magnetic fields: (I) General analyses

Journal Article · Mon Mar 21 00:00:00 EDT 2016 · Nuclear Physics. A

DOI:https://doi.org/10.1016/j.nuclphysa.2016.03.016· OSTI ID:1254125

Hattori, Koichi ^[1]; Kojo, Toru ^[2]; Su, Nan ^[3]

Brookhaven National Lab. (BNL), Upton, NY (United States); Nishina Center, RIKEN, Saitama (Japan)
Central China Normal Univ., Wuhan (China); Univ. of Illinois at Urbana-Champaign, Urbana, IL (United States)
Goethe-Univ. Frankfurt, Frankfurt am Main (Germany)

Here, we study properties of neutral and charged mesons in strong magnetic fields |eB| >> Λ²_QCD with Λ_QCD 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.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC00112704

OSTI ID:: 1254125

Report Number(s):: BNL-112145-2016-JA; R&D Project: PO-3

Journal Information:: Nuclear Physics. A, Vol. 951, Issue C; ISSN 0375-9474

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 35 works

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Title: Mesons in strong magnetic fields: (I) General analyses

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