Geodesic
Nonconservation of the fermion number in a cold dense fermion medium in $V-A$ gauge theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 1, pp. 3-24 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is shown that in four-dimensional Abelian $V-A$ theories the ground state of cold neutral fermionic matter at sufficiently high densities is an essentially inhomogeneous state in which there is a domain of anomalous matter surrounded by normal vacuum. Within the domain, the condensate of the gauge field is nonzero; its appearance reduces effectively to zero the number of real fermions both within and without the domain. In four-dimensional non-Abelian $V-A$ theories the anomalous state of cold neutral fermionic matter is, in its turn, absolutely unstable, and the system goes over to the normal state with a small number of fermions above a topologically nontrivial vacuum. Thus, in a number of non-Abelian models the fermion density cannot exceed a certain critical value. 
@article{TMF_1986_69_1_a0,
     author = {V. A. Matveev and V. A. Rubakov and A. N. Tavkhelidze and V. F. Tokarev},
     title = {Nonconservation of the fermion number in a~cold dense fermion medium in $V-A$~gauge theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--24},
     year = {1986},
     volume = {69},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_69_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 in a cold dense fermion medium in $V-A$ gauge theories
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1986
SP  - 3
EP  - 24
VL  - 69
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1986_69_1_a0/
LA  - ru
ID  - TMF_1986_69_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 in a cold dense fermion medium in $V-A$ gauge theories
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1986
%P 3-24
%V 69
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1986_69_1_a0/
%G ru
%F TMF_1986_69_1_a0
V. A. Matveev; V. A. Rubakov; A. N. Tavkhelidze; V. F. Tokarev. Nonconservation of the fermion number in a cold dense fermion medium in $V-A$ gauge theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 1, pp. 3-24. http://geodesic.mathdoc.fr/item/TMF_1986_69_1_a0/

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

[2] Matveev V. A., Rubakov V. A., Tavkhelidze A. N., Tokarev V. F., TMF, 68:1 (1986), 3–17

[3] Rubakov V. A., Progr. Theor. Phys., 75:2 (1986), 366–385 | DOI

[4] Callan C. G., Dashen R. F., Gross D. J., Phys. Rev., D17:10 (1978), 2717–2734

[5] Christ N. H., Phys. Rev., D21:6 (1980), 1591–1602 | MR

[6] Nielsen H. B., Ninomiya M., Phys. Lett., 130B:4 (1983), 389–396 | DOI | MR

[7] Linde A. D., Phys. Lett., 86B:1 (1979), 39–44 | DOI

[8] Krive I. V., YaF, 31:3 (1980), 1259–1265

[9] Landau L. D., Lifshits E. M., Statisticheskaya fizika, Nauka, M., 1978 | MR

[10] Nielsen H. B., Olesen P., Nucl. Phys., 61B:1 (1973), 45–56 | DOI

[11] 't Hooft G., Phys. Rev. Lett., 37:1 (1976), 8–11 | DOI

[12] Callan C. G., Dashen R. F., Gross D. J., Phys. Lett., 63B:3 (1976), 334–340 | DOI | MR

[13] Krasnikov N. V., Matveev V. A., Rubakov V. A., Tavkhelidze A. N., Tokarev V. F., TMF, 45:3 (1980), 313–328 ; Красников Н. В., Рубаков В. А., Токарев В. Ф., ЯФ, 29:4 (1979), 1127–1135 | MR | MR

[14] Nielsen N. K., Olesen P., Phys. Lett., 79B:3 (1976), 304–309 ; Nielsen H. B., Ninomiya M., Nucl. Phys., 156B:1 (1979), 1–7 ; Ambjørn J., Olesen P., Nucl. Phys., 170B:1 (1980), 60–69 ; 3, 265–274 | DOI

[15] Yung A. V., YaF, 41:3 (1985), 1324–1328

[16] Landau L. D., Lifshits E. M., Statisticheskaya fizika, Nauka, M., 1964 | Zbl

[17] Fradkin E. S., Tr. FIAN, 29, 1965, 7 | Zbl

[18] Redlich A. N., Wijewardhana L. C. R., Phys. Rev. Lett., 54:16 (1985), 970–973 | DOI | MR

[19] Tsokos K., Phys. Lett., 157B:5 (1985), 413–416 | DOI

[20] Landau L. D., Lifshits E. M., Kvantovaya mekhanika, Nauka, M., 1974 | MR

[21] Nielsen N. K., Olesen P., Nucl. Phys., 144B:4 (1978), 304–311