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

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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.
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     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},
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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/