Thermomagnetic modification of the anomalous magnetic moment of quarks using the NJL model

Ghosh, Snigdha; Chaudhuri, Nilanjan; Roy, P.; Sarkar, Sourav

doi:10.1103/physrevd.103.116008

Cited by 13 publications

(23 citation statements)

References 69 publications

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“…2(a), we have already seen that, the effect of the (constant) AMM of the quarks are more prominent at higher values of temperatures. However, since both and become vanishingly small at higher values of temperature in [77], the -dpenedence of the constituent quark mass in Fig. 7(a) remain unaltered when and dependent values of the AMM of the quarks are considered.…”

Section: Numerical Resultsmentioning

confidence: 96%

“…However, it should be noted that, in Ref. [77], it is shown that the constituent mass as well as the AMM of the quarks are large in the chiral symmetry broken phase in the low temperature region. Around the pseudo-chiral phase transition, both and / suffer a sudden decrease and at high temperature limit, both of them approach vanishingly small values at the symmetry restored phase.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In Figs. 7(a) and (b) we have depicted the variation of and Φ as a function temperature for non-zero values of 5 for both zero and and dependent values of the AMM of the quarks following [77] for = 0.15 GeV 2 . In Fig.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Another approach to obtain results in both NJL and PNJL models (with constant coupling) consistent with the lattice calculation is the inclusion of anomalous magnetic moment (AMM) of the quarks. Recently, there has been a lot of activity in this direction involving both NJL and PNJL models to study the phase structure as well as the mesonic excititations ( and ) [73][74][75][76][77]. The values of the AMM of the quarks can be taken as constant [73,75,76] or temperature and magnetic field dependent [77]; in either case the values must reproduce the vacuum values of the AMM of the proton and neutron.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, there has been a lot of activity in this direction involving both NJL and PNJL models to study the phase structure as well as the mesonic excititations ( and ) [73][74][75][76][77]. The values of the AMM of the quarks can be taken as constant [73,75,76] or temperature and magnetic field dependent [77]; in either case the values must reproduce the vacuum values of the AMM of the proton and neutron. With the inclusion of the AMM of the quarks both in the NJL and PNJL models with constant coupling, it has been found that the critical temperature decreases with the magnetic field leading to inverse magnetic catalysis (IMC) [73,75,76].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance

Chaudhuri,

Mukherjee,

Ghosh

et al. 2021

Preprint

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We incorporate the anomalous magnetic moment (AMM) of quarks in the framework of PNJL model to study hot and dense magnetised matter with chiral imbalance. For this purpose, the eigen energy solution of the Dirac equation is obtained in presence of constant background magnetic field and chiral chemical potential (CCP) along with the minimal anomalous magnetic moment interaction of the fermion. Although there is a marginal enhancement in the IMC behaviour of the quark condensate due to the combined effects of AMM and CCP, we find that the overall behaviour of the Polyakov loop and the chiral charge density is dominated by the chiral chemical potential. It is further shown that the AMM effects in presence of CCP remains insignificant even for dynamically generated moments.

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Section: Numerical Resultsmentioning

confidence: 96%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance

Chaudhuri,

Mukherjee,

Ghosh

et al. 2021

Preprint

Self Cite

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show abstract

Magnetic correction to the anomalous magnetic moment of electrons

Lin¹,

Huang²

2022

Commun. Theor. Phys.

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We investigate the leading order correction of anomalous magnetic moment (AMM) to the electron in weak magnetic field and find that the magnetic correction is negative and magnetic field dependent, indicating a magnetic catalysis effect for the electron gas. In the laboratory to measure the $g-2$, the magnitude of the magnetic field $B$ is several $\mathrm{T}$, correspondingly the magnetic correction to the AMM of electron/muon is around $10^{-34}$/$10^{-42}$, therefore the magnetic correction can be safely neglected in current measurement. However, when the magnitude of the magnetic field strength is comparable with the electron mass, the magnetic correction of electron's AMM will become considerable. This general magnetic correction to charged fermion's AMM can be extended to study QCD matter under strong magnetic field.

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Restriction on the form of the quark anomalous magnetic moment from lattice QCD results*

Kawaguchi

Huang

2023

Chinese Phys. C

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The quark anomalous magnetic moment (AMM) is dynamically generated through the spontaneous chiral symmetry breaking. It has been revealed that even though its exact form is still unknown, the quark AMM is essential to explore quark matter properties and QCD phase structure under external magnetic fields. In this study, we take three different forms of the quark AMM and investigate its influence on the chiral phase transition under magnetic field. In general, a negative (positive) quark AMM plays the role of magnetic-catalyzer (magnetic-inhibition) for the chiral symmetry breaking. It is found that a constant quark AMM drives an unexpected 1st order chiral phase transition; a quark AMM proportional to the chiral condensate gives a flip of the sign on the chiral condensate; and a quark AMM proportional to the square of chiral condensate suppresses the magnetic enhancement in the chiral condensate at finite temperatures while retaining the chiral crossover phase transition. We also evaluate the intrinsic temperature dependence of the effective AMM form by fitting the effective model result of the chiral condensate to the lattice QCD data, which may have a nontrivial correlation with the chiral phase transition.

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Thermomagnetic modification of the anomalous magnetic moment of quarks using the NJL model

Cited by 13 publications

References 69 publications

Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance

Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance

Magnetic correction to the anomalous magnetic moment of electrons

Restriction on the form of the quark anomalous magnetic moment from lattice QCD results*

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