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

Abstract

Here, we study properties of neutral and charged mesons in strong magnetic fields |eB| >> Λ 2 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 B 2. 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.

Authors:
 [1];  [2];  [3]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States); Nishina Center, RIKEN, Saitama (Japan)
  2. Central China Normal Univ., Wuhan (China); Univ. of Illinois at Urbana-Champaign, Urbana, IL (United States)
  3. Goethe-Univ. Frankfurt, Frankfurt am Main (Germany)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1254125
Report Number(s):
BNL-112145-2016-JA
Journal ID: ISSN 0375-9474; R&D Project: PO-3
Grant/Contract Number:  
SC00112704
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Physics. A
Additional Journal Information:
Journal Volume: 951; Journal Issue: C; Journal ID: ISSN 0375-9474
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Riken BNL Research Center; strong magnetic fields; Meson structure; hadron resonance gas; inverse magnetic catalysis

Citation Formats

Hattori, Koichi, Kojo, Toru, and Su, Nan. Mesons in strong magnetic fields: (I) General analyses. United States: N. p., 2016. Web. doi:10.1016/j.nuclphysa.2016.03.016.
Hattori, Koichi, Kojo, Toru, & Su, Nan. Mesons in strong magnetic fields: (I) General analyses. United States. doi:10.1016/j.nuclphysa.2016.03.016.
Hattori, Koichi, Kojo, Toru, and Su, Nan. Mon . "Mesons in strong magnetic fields: (I) General analyses". United States. doi:10.1016/j.nuclphysa.2016.03.016. https://www.osti.gov/servlets/purl/1254125.
@article{osti_1254125,
title = {Mesons in strong magnetic fields: (I) General analyses},
author = {Hattori, Koichi and Kojo, Toru and Su, Nan},
abstractNote = {Here, we study properties of neutral and charged mesons in strong magnetic fields |eB| >> Λ2QCD 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.},
doi = {10.1016/j.nuclphysa.2016.03.016},
journal = {Nuclear Physics. A},
number = C,
volume = 951,
place = {United States},
year = {2016},
month = {3}
}

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