Geodesic
Magnetic catalysis in a P-even, chiral-invariant three-dimensional model with four-fermion interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 2, pp. 323-338 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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 $H\neq0$. 
@article{TMF_2000_124_2_a9,
     author = {V. Ch. Zhukovskii and K. G. Klimenko and V. V. Khudyakov},
     title = {Magnetic catalysis in a {P-even,} chiral-invariant three-dimensional model with four-fermion interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--338},
     year = {2000},
     volume = {124},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a9/}
}
TY  - JOUR
AU  - V. Ch. Zhukovskii
AU  - K. G. Klimenko
AU  - V. V. Khudyakov
TI  - Magnetic catalysis in a P-even, chiral-invariant three-dimensional model with four-fermion interaction
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2000
SP  - 323
EP  - 338
VL  - 124
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a9/
LA  - ru
ID  - TMF_2000_124_2_a9
ER  - 
%0 Journal Article
%A V. Ch. Zhukovskii
%A K. G. Klimenko
%A V. V. Khudyakov
%T Magnetic catalysis in a P-even, chiral-invariant three-dimensional model with four-fermion interaction
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2000
%P 323-338
%V 124
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a9/
%G ru
%F TMF_2000_124_2_a9
V. Ch. Zhukovskii; K. G. Klimenko; V. V. Khudyakov. Magnetic catalysis in a P-even, chiral-invariant three-dimensional model with four-fermion interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 2, pp. 323-338. http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a9/

[1] D. J. Gross, A. Neveu, Phys. Rev. D, 10 (1974), 3235 | DOI

[2] K. G. Klimenko, TMF, 89 (1991), 211 ; 90 (1992), 3 ; K. G. Klimenko, Z. Phys. C, 54 (1992), 323 | MR | MR | DOI | MR

[3] I. V. Krive, S. A. Naftulin, Phys. Rev. D, 46 (1992), 2737 | DOI

[4] V. P. Gusynin, V. A. Miransky, I. A. Shovkovy, Phys. Rev. Lett., 73 (1994), 3499 ; Phys. Rev. D, 52 (1995), 4718 ; V. P. Gusynin, I. A. Shovkovy, Phys. Rev. D, 56 (1997), 5251 | DOI | DOI | DOI

[5] K. G. Klimenko, A. S. Vshivtsev, B. V. Magnitsky, Nuovo Cimento A, 107 (1994), 439 | DOI

[6] A. S. Vshivtsev, V. Ch. Zhukovskii, K. G. Klimenko, B. V. Magnitskii, EChAYa, 29 (1998), 1259

[7] I. A. Shovkovy, V. M. Turkowski, Phys. Lett. B, 367 (1995), 213 ; D. Ebert, V. Ch. Zhukovsky, Mod. Phys. Lett. A, 12 (1997), 2567 ; V. P. Gusynin, D. K. Hong, I. A. Shovkovy, Phys. Rev. D, 57 (1998), 5230 | DOI | DOI | Zbl | DOI | MR

[8] G. W. Semenoff, I. A. Shovkovy, L. C. R. Wijewardhana, Universality and the Magnetic Catalysis of Chiral Symmetry Breaking, E-print hep-th/9905116

[9] W. V. Liu, Nucl. Phys. B, 556 (1999), 563 | DOI

[10] T. Inagaki, T. Muta, S. D. Odintsov, Progr. Theor. Phys. Suppl., 127 (1997), 93 ; E. J. Ferrer, V. de la Incera, Int. J. Mod. Phys. A, 14 (1999), 1 ; On magnetic catalysis and gauge symmetry breaking, E-print hep-th/9910035 | DOI | DOI | MR

[11] K. Farakos, N. E. Mavromatos, Int. J. Mod. Phys. B, 12 (1998), 809 | DOI

[12] V. A. Miransky, Progr. Theor. Phys. Suppl., 123 (1996), 49 ; V. P. Gusynin, Magnetic Catalysis of Chiral Symmetry Breaking in Gauge Theories, E-print hep-th/0001070 | DOI

[13] A. S. Davydov, Phys. Rep., 190 (1990), 191 | DOI | Zbl

[14] K. Krishana et al., Science, 277 (1997), 83 | DOI

[15] G. W. Semenoff, L. C. R. Wijewardhana, Phys. Rev. Lett., 63 (1989), 2633 ; Phys. Rev. D, 45 (1992), 1342 | DOI | MR | DOI | MR

[16] M. Carena, T. E. Clark, C. E. M. Wagner, Phys. Lett. B, 259 (1991), 128 | DOI

[17] B. Rosenstein, B. J. Warr, S. H. Park, Phys. Rep., 205 (1991), 59 | DOI

[18] K. G. Klimenko, Z. Phys. C, 57 (1993), 175 | DOI

[19] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady, Nauka, M., 1974 | MR | Zbl

[20] E. T. Uitteker, Dzh. N. Vatson, Kurs sovremennogo analiza, T. 2, GIFML, M., 1963

[21] E. Elizalde, S. Leseduarte, S. D. Odintsov, Yu. I. Shil'nov, Phys. Rev. D, 53 (1996), 1917 ; D. M. Gitman, S. D. Odintsov, Yu. I. Shil'nov, Phys. Rev. D, 54 (1996), 2964 ; T. Inagaki, S. D. Odintsov, Yu. I. Shil'nov, Int. J. Mod. Phys. A, 14 (1999), 481 | DOI | DOI | MR | DOI | MR | Zbl

[22] K. G. Klimenko, Z. Phys. C, 37 (1988), 457 ; D. Y. Song, Phys. Rev. D, 48 (1993), 3925 ; Kanemura, H.-T. Sato, Mod. Phys. Lett. A, 11 (1996), 785 ; M. Modugno, G. Pettini, R. Gatto, Phys. Rev. D, 57 (1998), 4995 ; B.-R. Zhou, Phys. Lett. B, 444 (1998), 455 ; G. Miele, P. Vitale, Nucl. Phys. B, 494 (1997), 365 ; P. Vitale, Nucl. Phys. B, 551 (1999), 490 ; D. K. Kim, K. G. Klimenko, J. Phys. A, 31 (1998), 5565 | DOI | DOI | DOI | DOI | DOI | DOI | MR | Zbl | DOI | DOI | Zbl