ON THE GENERATING FUNCTIONAL FOR PROPER VERTICES OF LOCAL COMPOSITE OPERATORS IN THE GAUGED NAMBU-JONA-LASINIO MODEL

Autor:	V.A. Miransky
Rok vydání:	1993
Předmět:	Physics Nuclear and High Energy Physics Scalar (mathematics) Vertex function Astronomy and Astrophysics Atomic and Molecular Physics and Optics Renormalization Critical line Quantum mechanics Nambu–Jona-Lasinio model Bound state Continuum (set theory) Effective action Mathematical physics
Zdroj:	International Journal of Modern Physics A. :135-151
ISSN:	1793-656X 0217-751X
DOI:	10.1142/s0217751x93000060
Popis:	The generating functional (effective action) for proper vertices of local composite operators [Formula: see text] and [Formula: see text] in the gauged Nambu-Jona-Lasinio model is considered. We show that, unlike QCD-like dynamics, it is a well-defined object in the continuum limit (at the critical line of the model). The effective action is applied for studying spinless bound states in the model. In particular, we show that the bound states disappear with cutoff Λ→∞ in the symmetric phase, near the part of the critical line with α=αc=π/3. A mass relation for scalar bound states is derived in the nonsymmetric phase, near this part of the critical line.
Databáze:	OpenAIRE
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