K. G. Klimenko, “Three-dimensional Gross–Neveu model in an external magnetic field. I”, TMF, 89:2 (1991), 211–221; Theoret. and Math. Phys., 89:2 (1991), 1161

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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 89, Number 2, Pages 211–221 (Mi tmf5888)

This article is cited in 149 scientific papers (total in 149 papers)

Three-dimensional Gross–Neveu model in an external magnetic field. I

K. G. Klimenko

Full-text PDF (1101 kB) Citations (149)

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Abstract: In the leading order of the $1/N$ expansion, the (2 + l)-dimensional Gross–Neveu model in a constant external magnetic field is considered. It is shown that for $g>0$ ($g$ is the coupling constant) and arbitrarily small value of $H$ the chiral invariance of the model is spontaneously broken. For $g<0$, the symmetry, broken at $H=0$, is not restored at any arbitrarily large value of the external magnetic field.

Received: 10.01.1991

English version:
Theoretical and Mathematical Physics, 1991, Volume 89, Issue 2, Pages 1161–1169
DOI: https://doi.org/10.1007/BF01015908

Bibliographic databases:

Language: Russian

Citation: K. G. Klimenko, “Three-dimensional Gross–Neveu model in an external magnetic field. I”, TMF, 89:2 (1991), 211–221; Theoret. and Math. Phys., 89:2 (1991), 1161–1169

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

\yr 1991

\vol 89

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Linking options:

https://www.mathnet.ru/eng/tmf5888

https://www.mathnet.ru/eng/tmf/v89/i2/p211

Cycle of papers

Three-dimensional Gross–Neveu model in an external magnetic field. I
K. G. Klimenko
TMF, 1991, 89:2, 211–221
Three-dimensional Gross–Neveu model in an external electric field. II
K. G. Klimenko
TMF, 1991, 89:3, 388–394

This publication is cited in the following 149 articles:

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Tomohiro Inagaki, Daiji Kimura, Hiromu Shimoji, “Superrestoration of chiral symmetry in massive four-fermion interaction models”, Phys. Rev. D, 109:11 (2024)
Joan Bernabeu, Alberto Cortijo, “Hysteresis of axionic charge density waves”, Phys. Rev. B, 110:8 (2024)
Rufus Boyack, Luca Delacrétaz, Éric Dupuis, William Witczak-Krempa, “Conformal field theories in a magnetic field”, Phys. Rev. Research, 6:4 (2024)
Laurin Pannullo, Marc Winstel, “Absence of inhomogeneous chiral phases in ( 2+1 )-dimensional four-fermion and Yukawa models”, Phys. Rev. D, 108:3 (2023)
Julian J. Lenz, Michael Mandl, Andreas Wipf, “Magnetic catalysis in the ( 2+1 )-dimensional Gross-Neveu model”, Phys. Rev. D, 107:9 (2023)
Mingqiu Li, Qi-Shu Yan, Mei Huang, “Anisotropic gravitational waves induced by hypermagnetic fields during the electroweak phase transition epoch”, Phys. Rev. D, 107:4 (2023)
Rui Wen, Shi Yin, Wei-jie Fu, Mei Huang, “Functional renormalization group study of neutral and charged pions in magnetic fields in the quark-meson model”, Phys. Rev. D, 108:7 (2023)
Gaoqing Cao, Jianing Li, “Self-consistent thermodynamic potential for magnetized QCD matter”, Phys. Rev. D, 107:9 (2023)
Wei M., Islam Ch.A., Huang M., “Production Rate and Ellipticity of Lepton Pairs From a Rotating Hot and Dense Qcd Medium”, Phys. Rev. D, 105:5 (2022), 054014
Bing-kai Sheng, Xinyang Wang, Lang Yu, “Impacts of inverse magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter”, Phys. Rev. D, 105:3 (2022)
Yidian Chen, Danning Li, Mei Huang, “Inhomogeneous chiral condensation under rotation in the holographic QCD”, Phys. Rev. D, 106:10 (2022)
Fan Lin, Kun Xu, Mei Huang, “Magnetism of QCD matter and the pion mass from tensor-type spin polarization and the anomalous magnetic moment of quarks”, Phys. Rev. D, 106:1 (2022)
Aftab Ahmad, “Chiral symmetry restoration and deconfinement in the contact interaction model of quarks with parallel electric and magnetic fields”, Chinese Phys. C, 45:7 (2021), 073109
Jens O. Andersen, “QCD phase diagram in a constant magnetic background”, Eur. Phys. J. A, 57:6 (2021)
Bingkai Sheng, Yuanyuan Wang, Xinyang Wang, Lang Yu, “Pole and screening masses of neutral pions in a hot and magnetized medium: A comprehensive study in the Nambu–Jona-Lasinio model”, Phys. Rev. D, 103:9 (2021)
Shijun Mao, “Chiral crossover characterized by Mott transition at finite temperature *”, Chinese Phys. C, 45:2 (2021), 021004
Andreas Wipf, Lecture Notes in Physics, 992, Statistical Approach to Quantum Field Theory, 2021, 475
Diego M. Rodrigues, Danning Li, Eduardo Folco Capossoli, Henrique Boschi-Filho, “Finite density effects on chiral symmetry breaking in a magnetic field in 2+1 dimensions from holography”, Phys. Rev. D, 103:6 (2021)

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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