Stationary phase corrections in the process of bosonization of multi-quark interactions

Abstract

The functional integration over the auxiliary bosonic variables of cubic order related with the effective action of the Nambu -- Jona-Lasinio model with 't Hooft term has recently been obtained in the form of a loop expansion. Even numbers of loops contribute to the action, while odd numbers of loops are assigned to the measure. We consider the two-loop corrections and analyse their effect on the low-lying pseudoscalar and scalar mass spectra, quark condensates and weak decay constants. The results are compared to the leading order calculations and other approaches.

arXiv comment22 pages, LaTeX, to appear in European Physics Journal C

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Cited by in corpus (19)

• Critical endpoint in the Polyakov-loop extended NJL model
• Entanglement between deconfinement transition and chiral symmetry restoration
• Chiral phase transition in an extended NJL model with higher-order multi-quark interactions
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Determination of QCD phase diagram from the imaginary chemical potential region
• Lowering the critical temperature with eight-quark interactions
• The large degeneracy of excited hadrons and quark models
• Strange quark matter in the presence of explicit symmetry breaking interactions
• Nonuniform phases in a three-flavor Nambu--Jona-Lasinio model
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Flavor-dependent U(3) Nambu Jona Lasinio coupling constant
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• The QCD critical point from the Nambu-Jona-Lasino model with a scalar-vector interaction
• Factorization breaking of four-quark condensates in the Nambu Jona Lasinio model
• Spontaneous symmetry breakings in the singlet scalar Yukawa model within the auxiliary field method
• Mesons and tachyons with confinement and chiral restoration, and NA60
• Higher order fermion effective polynomial interactions
• Nonuniform phases in the 't Hooft extended Nambu--Jona-Lasinio Model