Charged pion condensation in anti-parallel electromagnetic fields and nonzero isospin density *

Chao, Jingyi; Huang, Mei; Radzhabov, A. E.

doi:10.1088/1674-1137/44/3/034105

Cited by 14 publications

(10 citation statements)

References 95 publications

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“…As a matter of fact, these results could be related to each other if one alternatively understands the temporal potential for electric field as a coordinate dependent chemical potential. By the way, the possibility of charged pion superfluidity was also discussed in PEM at finite temperature and isospin chemical potential [72].…”

Section: B Magnetic Effect In Qcd Mattermentioning

confidence: 99%

Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model

Cao

2021

Preprint

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In this review, we summarize recent progresses on the possible phases of quantum chromodynamics (QCD) in the presence of a strong magnetic field, mainly from the views of chiral effective Nambu-Jona-Lasinio model. Four kinds of phase transitions are explored in detail: chiral symmetry breaking and restoration, neutral pseudoscalar superfluidity, charged pion superfluidity and charged rho superconductivity. In particular, we revisit the unsolved problems of inverse magnetic catalysis effect and the competition between chiral density wave and solitonic modulation, and eventually manage to obtain useful results by adopting self-consistent schemes.

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Section: B Magnetic Effect In Qcd Mattermentioning

confidence: 99%

Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model

Cao

2021

Preprint

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“…While the constituent quarks coupling with the magnetic field, the composite neutral pion is disturbed by the external magnetic field as a consequence. However, characterized by the spontaneous chiral symmetry breaking of U (1) I3 ⊗ U (1) AI3 → U (1) L+R [32], it is expected that the properties of neutral pion is preserved by the Goldstone nature. Presented by the research groups of [33,34], the lattice QCD (LQCD) computations conclude that π 0 is as light as a pseudo-Goldstone boson.…”

Section: Introductionmentioning

confidence: 99%

Exposing the effect of $p$-wave in pion triplet under the strong magnetic field

Xing,

Chao,

Chang

et al. 2021

Preprint

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“…This paper realizes the three-dimensional positive calculation of controlled source electromagnetic vibration spectrum field based on the finite meta-method utilizing the non-structural mesh vector and adaptive mesh refinement technology [18][19][20]. The 3D meshing for the simulation of terrain fluctuations and complex electrical anomalies is addressed in this article by proposing a three-dimensional adaptive vector finite meta-acting algorithm of controlled source electromagnetic vibration spectrum (CSEM) field.…”

Section: Introductionmentioning

confidence: 99%

Mathematical simulation of adaptive vector finite element method for the analysis of electromagnetic vibration spectrum field response

Cheng¹,

Su²,

Hui³

et al. 2021

J. vibroeng.

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Mathematical simulation plays a vital role in the analysis of electromagnetic vibration spectrum field response. This article realizes a three-dimensional adaptive vector finite meta-acting algorithm of controlled source electromagnetic vibration spectrum (CSEM) field to address 3D meshing for the simulation of terrain fluctuations and complex electrical anomalies. The adaptive methods utilized in this article is employed for one-time field and secondary field separation in order to calculate electromagnetic vibration spectrum field response. This response can effectively solve the source singularity in finite meta-simulation and improves the numerical accuracy of electromagnetic vibration spectrum field near the field source. The two approaches analysed in this article are CSEM one-dimensional positive algorithm and finite meta-method.The adaptive mesh refinement algorithm based on post-test error estimation is used in this paper to guide the mesh refinement to reduce man-made errors caused by designing a grid. The validity of the proposed algorithm is verified through numerical simulation of one-dimensional and three-dimensional models. The outcomes obtained reveals that the finite solution of one-dimensional model coincides well with the analytical solution. The relative error of electromagnetic vibration spectrum field amplitude is about 1 %, and the overall phase difference of less than 1 degree is observed. It is analysed that the three-dimensional model finite solution also fits well with the finite volume solution and the controlled source electromagnetic vibration spectrum response with three-dimensional tilt plate abnormality is simulated. This experimental analysis shows the ability and effectiveness of the algorithm to simulate the electromagnetic vibration spectrum field of complex geoelectrical structure.

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Charged pion condensation in anti-parallel electromagnetic fields and nonzero isospin density *

Cited by 14 publications

References 95 publications

Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model

Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model

Exposing the effect of $p$-wave in pion triplet under the strong magnetic field

Mathematical simulation of adaptive vector finite element method for the analysis of electromagnetic vibration spectrum field response

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