Geodesic
Nonconservation of the fermion number and the limiting density of fermionic matter (two-dimensional gauge model)
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 1, pp. 3-17 
V. A. Matveev; V. A. Rubakov; A. N. Tavkhelidze; V. F. Tokarev. Nonconservation of the fermion number and the limiting density of fermionic matter (two-dimensional gauge model). Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/TMF_1986_68_1_a0/
@article{TMF_1986_68_1_a0,
     author = {V. A. Matveev and V. A. Rubakov and A. N. Tavkhelidze and V. F. Tokarev},
     title = {Nonconservation of the fermion number and the limiting density of fermionic matter (two-dimensional gauge model)},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--17},
     year = {1986},
     volume = {68},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_1_a0/}
}
TY  - JOUR
AU  - V. A. Matveev
AU  - V. A. Rubakov
AU  - A. N. Tavkhelidze
AU  - V. F. Tokarev
TI  - Nonconservation of the fermion number and the limiting density of fermionic matter (two-dimensional gauge model)
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1986
SP  - 3
EP  - 17
VL  - 68
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1986_68_1_a0/
LA  - ru
ID  - TMF_1986_68_1_a0
ER  - 
%0 Journal Article
%A V. A. Matveev
%A V. A. Rubakov
%A A. N. Tavkhelidze
%A V. F. Tokarev
%T Nonconservation of the fermion number and the limiting density of fermionic matter (two-dimensional gauge model)
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1986
%P 3-17
%V 68
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1986_68_1_a0/
%G ru
%F TMF_1986_68_1_a0

Voir la notice de l'article provenant de la source Math-Net.Ru

The two-dimensional axial electrodynamics of fermions and bosons is investigated. It is shown that normal fermionic matter is unstable at densities higher than a critical density. The anomalous state, in its turn, is unstable, and by virtue of the complicated structure of the vacuum it goes over to the normal state with zero (or low) fermion density. Thus, in this model the fermion density cannot, in principle, exceed a certain critical value.

[1] Rubakov V. A., Tavkhelidze A. N., TMF, 65:2 (1985), 250–254

[2] Lowenstein J. E., Swieca J. A., Ann. of Phys., 68:1 (1971), 172–195 | DOI | MR

[3] Rothe K. D., Swieca J. A., Phys. Rev., D15:2 (1977), 541–543

[4] Krasnikov N. V., Matveev V. A., Rubakov V. A., Tavkhelidze A. N., Tokarev V. F., TMF, 45:3 (1980), 313–328 | MR

[5] Slavnov A. A., Faddeev L. D., Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 | MR

[6] Vlasov V. V., Matveev V. A., Tavkhelidze A. N., Khlebnikov S. Yu., Shaposhnikov M. E., Kanonicheskoe kvantovanie kalibrovochnykh teorii so skalyarnym kondensatom. Skalyarnaya elektrodinamika, Preprint IYaI AN SSSR P-0418, IYaI, M., 1985 | MR

[7] Tyburski L., Phys. Lett., B99:3 (1981), 218–220 | DOI | MR

[8] Schwinger J., Phys. Rev., 128:5 (1962), 2425–2429 | DOI | MR | Zbl

[9] Pogrebkov A. K., Sushko V. N., TMF, 24:3 (1975), 425–429

[10] Schwinger J., Phys. Rev. Lett., 3:2 (1959), 296–297 | DOI

[11] Rubakov V. A., On the electroweak theory at high fermion density, Preprint RIFT-625, Kyoto University, Kyoto, 1985

[12] Rumer Yu. B., Ryvkin M. Sh., Termodinamika, statisticheskaya fizika i kinetika, Nauka, M., 1972