Abstract
We consider the class of fermion models with a momentum cutoff Λ and an interaction containing derivatives. For the quasilocal fermion model with two coupling constants near a tricritical point, we classify the solutions of mass-gap equations for different values of coupling constants. The mass spectrum of the scalar excitations 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.
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Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 209, 1994, pp. 5–19.
Translated by V. A. Andrianov.
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Andrianov, A.A., Andrianov, V.A. Effective fermion models near a tricritical point. J Math Sci 83, 1–10 (1997). https://doi.org/10.1007/BF02398456
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DOI: https://doi.org/10.1007/BF02398456