Abstract:
The (2+1)-dimensional four-fermion theory at a finite temperature in external chromomagnetic fields simulating the vacuum gluon condensate is considered. The critical properties of the theory and the dependence between the fermion mass and external field are also investigated.
Citation:
A. S. Vshivtsev, K. G. Klimenko, V. V. Magnitskii, “Three-dimensional Gross–Neveu model in the external chromomagnetic fields at finite temperature”, TMF, 101:3 (1994), 391–401; Theoret. and Math. Phys., 101:3 (1994), 1436–1442
\Bibitem{VshKliMag94}
\by A.~S.~Vshivtsev, K.~G.~Klimenko, V.~V.~Magnitskii
\paper Three-dimensional Gross--Neveu model in the external chromomagnetic fields at finite temperature
\jour TMF
\yr 1994
\vol 101
\issue 3
\pages 391--401
\mathnet{http://mi.mathnet.ru/tmf1696}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348609}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 101
\issue 3
\pages 1436--1442
\crossref{https://doi.org/10.1007/BF01035465}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994RG57000008}
Linking options:
https://www.mathnet.ru/eng/tmf1696
https://www.mathnet.ru/eng/tmf/v101/i3/p391
This publication is cited in the following 23 articles:
Khunjua T.G., Klimenko K.G., Zhokhov R.N., “Spontaneous Non-Hermiticity in the (2+1)-Dimensional Gross-Neveu Model”, Phys. Rev. D, 105:2 (2022), 025014
Gaoqing Cao, “Recent progresses on QCD phases in a strong magnetic field: views from Nambu–Jona-Lasinio model”, Eur. Phys. J. A, 57:9 (2021)
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
M. Loewe, F. Marquez, R. Zamora, “Vacuum instability by a chromoelectric field in2+1dimensions”, Phys. Rev. D, 89:1 (2014)
Igor A. Shovkovy, Lecture Notes in Physics, 871, Strongly Interacting Matter in Magnetic Fields, 2013, 13
Shchelkachev A.M., “Pion Condensation in a Medium with Massive Quarks in an External Spherically Symmetrical Non-Abelian Chromomagnetic Field”, Mosc. Univ. Phys. Bull., 67:4 (2012), 354–357
Schelkachev A.M., “Pionnaya kondensatsiya v srede s massivnymi kvarkami vo vneshnem sfericheskisimmetrichnom neabelevom khromomagnitnom pole”, Vestnik moskovskogo universiteta. seriya 3: fizika. astronomiya, 2012, no. 6, 43–46
Pion condensation in an environment with massive quarks in the external spherically symmetric non-abelian chromomagnetic field
de la Incera V., “Nonperturbative Physics in a Magnetic Field”, XII Mexican Workshop on Particles and Fields, AIP Conference Proceedings, 1361, 2011, 74–82
Ferrer, EJ, “Dynamically generated anomalous magnetic moment in massless QED”, Nuclear Physics B, 824:1–2 (2010), 217
D. Ebert, K.G. Klimenko, V.C. Zhukovsky, A.M. Fedotov, “Quark and pion condensation in a chromomagnetic background field”, Eur. Phys. J. C, 49:3 (2007), 709
Ebert, D, “Competition of color ferromagnetic and superconductive states in a quark-gluon system”, Physical Review D, 72:9 (2005), 096007
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
D. Ebert, V. V. Khudyakov, V. Ch. Zhukovsky, K. G. Klimenko, “Influence of an external chromomagnetic field on color superconductivity”, Phys. Rev. D, 65:5 (2002)
Zhukovsky, VC, “Chromomagnetic catalysis of color superconductivity”, JETP Letters, 74:11 (2001), 523
Ebert, D, “Chromomagnetic catalysis of color superconductivity and dimensional reduction”, Progress of Theoretical Physics, 106:4 (2001), 835
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
D. Ebert, K. G. Klimenko, H. Toki, “Chromomagnetic catalysis of color superconductivity in a(2+1)-dimensional Nambu–Jona-Lasinio model”, Phys. Rev. D, 64:1 (2001)
V. Ch. Zhukovskii, K. G. Klimenko, V. V. Khudyakov, “Magnetic catalysis in a P-even, chiral-invariant three-dimensional model with four-fermion interaction”, Theoret. and Math. Phys., 124:2 (2000), 1132–1144
Vdovichenko, MA, “Magnetic catalysis and magnetic oscillations in the Nambu-Jona-Lasinio model”, Physics of Atomic Nuclei, 63:3 (2000), 470
Patrizia Vitale, “Temperature-induced phase transitions in four-fermion models in curved space-time”, Nuclear Physics B, 551:1-2 (1999), 490