V. Ch. Zhukovskii, K. G. Klimenko, V. V. Khudyakov, “Magnetic catalysis in a P-even, chiral-invariant three-dimensional model with four-fermion interaction”, TMF, 124:2 (2000), 323–338; Theoret. and Math. Phys., 124:2 (2000), 1132

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 2, Pages 323–338
DOI: https://doi.org/10.4213/tmf642 (Mi tmf642)

This article is cited in 19 scientific papers (total in 19 papers)

Magnetic catalysis in a P-even, chiral-invariant three-dimensional model with four-fermion interaction

V. Ch. Zhukovskii^a, K. G. Klimenko^b, V. V. Khudyakov^a

^a M. V. Lomonosov Moscow State University
^b Institute for High Energy Physics

Full-text PDF (410 kB) Citations (19)

References:

PDF

HTML

DOI: https://doi.org/10.4213/tmf642

Abstract: We study how an external magnetic field

$H$ affects the phase structure of a P-even, chiral-invariant three-dimensional model of field theory with a four-fermion interaction. An arbitrarily small, but nonzero, magnetic field induces the spontaneous breaking of the initial symmetry (the magnetic catalysis phenomenon). Depending on the values of the coupling constants, the model vacuum is either P-even or chiral invariant for

$H\neq0$ .

Received: 27.12.1999
Revised: 07.03.2000

English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 2, Pages 1132–1144
DOI: https://doi.org/10.1007/BF02551083

Bibliographic databases:

Language: Russian

Citation: V. Ch. Zhukovskii, K. G. Klimenko, V. V. Khudyakov, “Magnetic catalysis in a P-even, chiral-invariant three-dimensional model with four-fermion interaction”, TMF, 124:2 (2000), 323–338; Theoret. and Math. Phys., 124:2 (2000), 1132–1144

Citation in format AMSBIB

\Bibitem{ZhuKliKhu00}

\by V.~Ch.~Zhukovskii, K.~G.~Klimenko, V.~V.~Khudyakov

\paper Magnetic catalysis in a P-even, chiral-invariant three-dimensional model with four-fermion interaction

\jour TMF

\yr 2000

\vol 124

\issue 2

\pages 323--338

\mathnet{http://mi.mathnet.ru/tmf642}

\crossref{https://doi.org/10.4213/tmf642}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1821120}

\zmath{https://zbmath.org/?q=an:1112.81356}

\transl

\jour Theoret. and Math. Phys.

\yr 2000

\vol 124

\issue 2

\pages 1132--1144

\crossref{https://doi.org/10.1007/BF02551083}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000089809400010}

Linking options:

https://www.mathnet.ru/eng/tmf642

https://doi.org/10.4213/tmf642

https://www.mathnet.ru/eng/tmf/v124/i2/p323

This publication is cited in the following 19 articles:

Das A., Kumar D., Mishra H., “Chiral Susceptibility in the Nambu-Jona-Lasinio Model: a Wigner Function Approach”, Phys. Rev. D, 100:9 (2019), 094030
Ebert D. Klimenko K.G. Kolmakov P.B. Zhukovsky V.Ch., “Phase transitions in hexagonal, graphene-like lattice sheets and nanotubes under the influence of external conditions”, Ann. Phys., 371 (2016), 254–286
Ebert D., Khunjua T.G., Klimenko K.G., Zhukovsky V.C., Phys. Rev. D, 93:10 (2016), 105022
V. Ch. Zhukovskii, E. A. Stepanov, “Fermion mass generation and induced current in low-dimensional models with nontrivial topology”, Theoret. and Math. Phys., 182:2 (2015), 246–263
Zhukovsky V.Ch. Klimenko K.G., “The Phase Structure of a Generalized Gross–Neveu Model in (2+1)-Dimensional Space–Time”, Mosc. Univ. Phys. Bull., 70:6 (2015), 466–472
Vladimir A. Miransky, Igor A. Shovkovy, “Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals”, Physics Reports, 576 (2015), 1
Klimenko K.G. Zhokhov R.N. Zhukovsky V.Ch., “Superconductivity Phenomenon Induced by External in-Plane Magnetic Field in (2+1)-Dimensional Gross-Neveu Type Model”, Mod. Phys. Lett. A, 28:23 (2013), 1350096
Igor A. Shovkovy, Lecture Notes in Physics, 871, Strongly Interacting Matter in Magnetic Fields, 2013, 13
Klimenko K.G. Zhokhov R.N. Zhukovsky V.Ch., “Superconducting Phase Transitions Induced by Chemical Potential in (2+1)-Dimensional Four-Fermion Quantum Field Theory”, Phys. Rev. D, 86:10 (2012), 105010
Zhukovsky V.Ch. Stepanov E.A., “Fermion MASS Generation via Kaluza-Klein Fermions Under the Influence of a Gauge Field Within a (2+1)-Dimensional Model”, Mosc. Univ. Phys. Bull., 67:2 (2012), 233–240
Zhukovskii V.Ch., Stepanov E.A., “Generatsii fermionnoi massy s uchastiem fermionov kalutsy-kleina pod vliyaniem kalibrovochnogo polya v modeli s 2+1 izmereniem”, Vestnik Moskovskogo universiteta. Seriya 3: Fizika. Astronomiya, 2012, no. 1, 58–64 Fermion mass generation with kaluza-klein fermions and under the influence of gauge field in the 2+1 dimensional model
Ayala A., Bashir A., Gutierrez E., Raya A., Sanchez A., “Chiral and parity symmetry breaking for planar fermions: Effects of a heat bath and uniform external magnetic field”, Phys Rev D, 82:5 (2010), 056011
Raya A., Reyes E., “Fermion condensate and vacuum current density induced by homogeneous and inhomogeneous magnetic fields in (2+1) dimensions”, Phys Rev D, 82:1 (2010), 016004
Klimenko, KG, “Does there arise a significant enhancement of the dynamical quark mass in external magnetic field?”, Physics Letters B, 665:5 (2008), 352
Anguiano-Galicia, MDJ, “(psi)over-bar psi condensate in constant magnetic fields”, Physical Review D, 76:12 (2007), 127702
V. Ch. Zhukovskii, K. G. Klimenko, “Magnetic Catalysis of the $\operatorname{P}$ -Parity-Breaking Phase Transition of the First Order and High-Temperature Superconductivity”, Theoret. and Math. Phys., 134:2 (2003), 254–270
Elizalde, E, “Beyond-constant-mass-approximation magnetic catalysis in the gauge Higgs-Yukawa model”, Physical Review D, 68:9 (2003), 096004
Zhukovskii, VC, “Magnetic catalysis of P-parity breakdown in a massive Gross-Neveu model and high-T-c superconductivity”, JETP Letters, 73:3 (2001), 121
Alexandre J., Farakos K., Koutsoumbas G., “Magnetic catalysis in three-dimensional QED at finite temperature: Beyond the constant mass approximation”, Physical Review D, 63:6 (2001), 065015

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

Statistics & downloads:
Abstract page:	480
Full-text PDF :	213
References:	97
First page:	1

Registration to the website

Logotypes