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Werbos, Elizabeth S.

doi:10.1103/physrevc.77.065202

Cited by 27 publications

(23 citation statements)

References 33 publications

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“…0 recover the temperature dependence of M , F , F , and h " qqi as in [6][7][8]. Similarly, we obtain the T ¼ 0 result for the free energy and the B dependence of the quark condensate as in [26][27][28]. The results in Eq.…”

Section: Resultsmentioning

confidence: 75%

Thermal pions in a magnetic background

Andersen

2012

Phys. Rev. D

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We use chiral perturbation theory for SU(2) to compute the leading corrections to the thermal mass of the pions and the pion decay constant in the presence of the magnetic field in a low-temperature expansion. The magnetic field gives rise to a splitting between $M_{\pi^0}$ and $M_{\pi^{\pm}}$ as well as $F_{\pi^0}$ and $F_{\pi^{\pm}}$. We also calculate the free energy and the quark condensate to next-to- leading order. The results suggest that the critical temperature $T_c$ for the chiral transition is larger in the presence of a constant magnetic field, in agreement with most model calculations but in disagreement with recent lattice calculations.Comment: Short version of arXiv:1205.6978. v1: 4pp and 1fig. v2: Expanded text significantly. 8pp. Accepted for publication in PRD. arXiv admin note: substantial text overlap with arXiv:1205.6978. v3: typos fixed. matched publication in PR

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Section: Resultsmentioning

confidence: 75%

Thermal pions in a magnetic background

Andersen

2012

Phys. Rev. D

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“…It also has a rich structure in the presence of an external magnetic field, which is of relevance in various physical scenarios including magnetars, which can possess fields of order 10 10 T [1] and RHIC collisions, which involve beams of charged nuclei that produce magnetic fields of order 10 16 T [2]. In the presence of magnetic fields, the QCD vacuum is known to exhibit dimensional reduction [3], whereby the pairing of quarks and antiquarks via the chiral condensate [4,5,6] is enhanced (magnetic catalysis at zero temperature) and the vacuum also exhibits superconductivity through ρ−meson condensation [7,8].…”

Section: Introductionmentioning

confidence: 99%

Magnetic vortex lattices in finite isospin chiral perturbation theory

Adhikari

2019

Physics Letters B

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We study finite isospin chiral perturbation theory (χPT) in a uniform external magnetic field and find the condensation energy of magnetic vortex lattices using the method of successive approximations (originally used by Abrikosov) near the upper critical point beyond which the system is in the normal vacuum phase. The difference between standard Ginzburg-Landau (GL) theory (or equivalently the Abelian Higgs model) and χPT arises due to the presence of additional momentum-dependent (derivative) interactions in χPT and the presence of electromagnetically neutral pions that interact with the charged pions via strong interactions but do not couple directly to the external magnetic field. We find that while the vortex lattice structure is hexagonal similar to vortices in GL theory, the condensation energy (relative to the normal vacuum state in a uniform, external magnetic field) is smaller (larger in magnitude) due to the presence of derivative interactions. Furthermore, we establish that neutral pions do not condense in the vortex lattice near the upper critical field.

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“…[1] for a recent review references therein). Studies of this kind have been performed using various effective theories and models such as the chiral perturbation theory [2][3][4][5] and Nambu-Jona-Lasinio model [6][7][8][9][10]. In the present work, we make the first attempt to study the magnetic effect on the nuclear matter based on the skyrmion crystal model.…”

Section: Introductionmentioning

confidence: 99%

Magnetic field effect on nuclear matter from a Skyrmion crystal model

Kawaguchi

Matsuzaki

2018

Phys. Rev. C

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We explore magnetic field effects on the nuclear matter based on the skrymion crystal approach for the first time. It is found that the magnetic effect plays the role of a catalyzer for the topological phase transition (topological deformation for the skyrmion crystal configuration from the skrymion phase to half-skyrmion phase). Furthermore, we observe that in the presence of the magnetic field, the inhomogeneous chiral condensate persists both in the skyrmion and half-skyrmion phases. Explicitly, as the strength of magnetic field gets larger, the inhomogeneous chiral condensate in the skyrmion phase tends to be drastically localized, while in the half-skyrmion phase the inhomogeneity configuration is hardly affected. It also turns out that a large magnetic effect in a low density region distorts the baryon shape to an elliptic form but the crystal structure is intact. However, in a high density region, the crystal structure is strongly effected by the strong magnetic field. A possible correlation between the chiral inhomogeneity and the deformation of the skrymion configuration is also addressed. The results obtained in this paper might be realized in the deep interior of compact stars.

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Chiral condensate in a constant electromagnetic field atO(p6)

Cited by 27 publications

References 33 publications

Thermal pions in a magnetic background

Thermal pions in a magnetic background

Magnetic vortex lattices in finite isospin chiral perturbation theory

Magnetic field effect on nuclear matter from a Skyrmion crystal model

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