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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1994 Volume 209, Pages 5–19 (Mi znsl5841)

This article is cited in 2 papers

Effective fermion models near tricritical point

A. A. Andrianov, V. A. Andrianov

Saint Petersburg State University

Abstract: We consider the class of fermion models with a momentum cutoff $\Lambda$ and an interaction containing derivatives. For the quasilocal fermion model with two coupling constants near tricritical point we elaborate the classification of solutions of mass-gap equations for different values coupling constants. The mass spectrum of the scalar exitations in the vicinity of the tricritical point is derived and it is found that two scalar exitations always arise when at least one of the constants exceeds its critical value.
The mass formation for scalar bound states induced by static gluon fields (gluon condensates) is investigated. Bibliography: 5 titles.

UDC: 539.12

Received: 28.07.1993


 English version:
Journal of Mathematical Sciences, 1997, 83:1, 1–10

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