Do charged pions condense in a magnetic field with rotation?

Fuente: arXiv
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Main Authors: Chen, Hao-Lei, Huang, Xu-Guang, Mameda, Kazuya
Format: Preprint
Published: 2019
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author Chen, Hao-Lei
Huang, Xu-Guang
Mameda, Kazuya
author_facet Chen, Hao-Lei
Huang, Xu-Guang
Mameda, Kazuya
contents We revisit the condensation scenario of charged pions in external magnetic field and rotation, which was first considered by Y. Liu and I. Zahed. Based on the Ginzburg-Landau analysis of the Nambu--Jona-Lasinio model, we find that the charged-pion condensation takes place only when both a strong coupling constant and negatively large baryon chemical potential are applied. Besides, our numerical calculation shows that the chiral restoration induced by the interplay between magnetic field and rotation (i.e., the rotational magnetic inhibition) interrupts the formation of the charged-pion condensate. This suggests that the analysis of such condensation requires a careful treatment of the inner structure of pions, which was not taken into account before. We also discuss the underlying physical mechanism of our finding and the indication of charged-rho condensation.
format Preprint
id arxiv_https___arxiv_org_abs_1910_02700
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Do charged pions condense in a magnetic field with rotation?
Chen, Hao-Lei
Huang, Xu-Guang
Mameda, Kazuya
Nuclear Theory
High Energy Physics - Phenomenology
We revisit the condensation scenario of charged pions in external magnetic field and rotation, which was first considered by Y. Liu and I. Zahed. Based on the Ginzburg-Landau analysis of the Nambu--Jona-Lasinio model, we find that the charged-pion condensation takes place only when both a strong coupling constant and negatively large baryon chemical potential are applied. Besides, our numerical calculation shows that the chiral restoration induced by the interplay between magnetic field and rotation (i.e., the rotational magnetic inhibition) interrupts the formation of the charged-pion condensate. This suggests that the analysis of such condensation requires a careful treatment of the inner structure of pions, which was not taken into account before. We also discuss the underlying physical mechanism of our finding and the indication of charged-rho condensation.
title Do charged pions condense in a magnetic field with rotation?
topic Nuclear Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/1910.02700