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 TMF, 1993, Volume 94, Number 1, Pages 6–18 (Mi tmf1407)

Effective fermion models with dynamical symmetry breaking

A. A. Andrianova, V. A. Andrianov

a Saint-Petersburg State University

Abstract: Effective many-fermion models with finite momentum cutoff in the regime of dynamical symmetry breaking are considered as low-energy approximation to the action of quantum chromodynamics. The quasilocal interaction vertices responsible for the formation of dynamic fermion mass are classified for these models in the near-critical region of coupling constants. It is shown that in four-dimensional space not only the 4-fermion interaction but also vertices with six and eight fermion fields and any number of derivatives are also important. In the mean field approximation an equation is derived for the critical surface for the coupling constants of the effective fermion action. The role of the leading interaction vertices in forming the physical parameters that do not depend on the momentum cutoff is discussed.

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English version:
Theoretical and Mathematical Physics, 1993, 94:1, 3–10

Bibliographic databases:

Citation: A. A. Andrianov, V. A. Andrianov, “Effective fermion models with dynamical symmetry breaking”, TMF, 94:1 (1993), 6–18; Theoret. and Math. Phys., 94:1 (1993), 3–10

Citation in format AMSBIB
\Bibitem{AndAnd93} \by A.~A.~Andrianov, V.~A.~Andrianov \paper Effective fermion models with dynamical symmetry breaking \jour TMF \yr 1993 \vol 94 \issue 1 \pages 6--18 \mathnet{http://mi.mathnet.ru/tmf1407} \zmath{https://zbmath.org/?q=an:0797.58095} \transl \jour Theoret. and Math. Phys. \yr 1993 \vol 94 \issue 1 \pages 3--10 \crossref{https://doi.org/10.1007/BF01016991} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1993LX39300002} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. A. S. Vshivtsev, K. G. Klimenko, V. V. Magnitskii, “Three-dimensional Gross–Neveu model in the external chromomagnetic fields at finite temperature”, Theoret. and Math. Phys., 101:3 (1994), 1436–1442
2. A. A. Andrianov, V. A. Andrianov, V. L. Yudichev, “Fermion models with quasilocal interactions near polycritical point”, Theoret. and Math. Phys., 108:2 (1996), 1096–1082
3. Vshivtsev, AS, “Dynamical effects in (2+1)-dimensional theories with four-fermion interaction”, Physics of Particles and Nuclei, 29:5 (1998), 523
4. Andrianov A.A., Andrianov V.A., Rodenberg R., “Composite two-Higgs models and chiral symmetry restoration”, Journal of High Energy Physics, 1999, no. 6, 003
5. Andrianov A.A., Andrianov V.A., “Extended non-chiral quark models confronting QCD”, Hadron Physics - Effective Theories of Low Energy QCD, AIP Conference Proceedings, 508, 2000, 328–337
6. Andrianov, VA, “Contribution of higher meson resonances to the electromagnetic pion-mass difference”, Physics of Atomic Nuclei, 65:10 (2002), 1862
7. Andrianov, VA, “Vector and axial-vector mesons in Quasilocal Quark Models”, European Physical Journal A, 17:1 (2003), 111
8. Andrianov, AA, “Quasilocal Quark Models as effective theory of non-perturbative QCD”, International Journal of Modern Physics A, 20:8–9 (2005), 1850
9. Andrianov A.A. Andrianov V.A. Espriu D., “Spontaneous Parity Violation Under Extreme Conditions: An Effective Lagrangian Analysis”, Eur. Phys. J. C, 74:6 (2014), 2932
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