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OZI violating eight-quark interactions as a thermometer for chiral transitions
Osipov, A. A.; Hiller, B.; Moreira, J.; Blin, A. H.This work is a follow-up of our recent observation that in the SU(3) flavor limit with vanishing current quark masses the temperature for the chiral transition is substantially reduced by adding eight-quark interactions to the Nambu-Jona-Lasinio Lagrangian with UA(1) breaking. Here we generalize the case to realistic light and strange quark masses and confirm our prior result. Additionally, we demonstrate that ...
Effects of eight-quark interactions on the hadronic vacuum and mass spectra of ...
Osipov, A. A.; Hiller, B.; Blin, A. H.; Providência, J. daThe combined effective low energy QCD Lagrangians of Nambu-Jona-Lasinio (NJL) and 't Hooft are supplemented with eight-quark interactions. This work is a follow-up of recent findings, namely (i) the six quark flavour determinant 't Hooft term destabilizes the NJL vacuum, (ii) the addition of a chiral invariant eight-fermion contact term renders the ground state of the theory globally stable; (iii) stability con...
Dynamical chiral symmetry breaking by a magnetic field and multi-quark interact...
Osipov, A. A.; Hiller, B.; Blin, A. H.; Providência, J. daCatalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions is considered. We use the three flavour Nambu-Jona-Lasinio type model with 't Hooft and eight-quark interaction terms. It is shown that the multi-quark interactions introduce new additional features to this phenomenon: (a) the local minimum of the effective potential catalyzed by the constant magnetic field is smoothed out...
Lowering the critical temperature with eight-quark interactions
Osipov, A. A.; Hiller, B.; Moreira, J.; Blin, A. H.; Providência, J. daIt is shown that eight-quark interactions, which are needed to stabilize the ground state of the combined three flavor Nambu-Jona-Lasinio and 't Hooft Lagrangians, play also an important role in determining the critical temperature at which transitions occur from the dynamically broken chiral phase to the symmetric phase. ; http://www.sciencedirect.com/science/article/B6TVN-4MY0MF1-3/1/aafd91fae9368b31ad1a25...
Multi-quark interactions with a globally stable vacuum
Osipov, A. A.; Hiller, B.; Providência, J. daIt is shown that U(3)L×U(3)R eight-quark interactions stabilize the asymmetric ground state of the well-known model with four-quark Nambu-Jona-Lasinio and six-quark 't Hooft interactions. The result remains when the reduced SU(3) flavour symmetry is explicitly broken by the general current quark mass term with . ; http://www.sciencedirect.com/science/article/B6TVN-4J554P4-1/1/dfc257ebb68f9d0785afc0d0426a4516
Stationary phase corrections in the process of bosonization of multi-quark inte...
Osipov, A. A.; Hiller, B.; Moreira, J.; Blin, A. H.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-lyi...
Long distance expansion for the NJL model with SU(3) and UA(1) breaking
Osipov, A. A.; Hansen, H.; Hiller, B.This work is a follow up of recent investigations, where we study the implications of a generalized heat kernel expansion, constructed to incorporate non-perturbatively the effects of a non-commutative quark mass matrix in a fully covariant way at each order of the expansion. As underlying Lagrangian we use the Nambu-Jona-Lasinio model of QCD, with SUf(3) and UA(1) breaking, the latter generated by the 't Hooft...
Path integral bosonization of the ‘t Hooft determinant: quasi-classical correct...
Osipov, A. A.; Hiller, B.The many-fermion Lagrangian which includes the ‘t Hooft six-quark flavor mixing interaction ( N f = 3) and the U L(3) x U R(3) chiral symmetric four-quark Nambu-Jona-Lasinio- (NJL-) type interactions is bosonized by the path integral method. The method of the steepest descents is used to derive the effective quark-mesonic Lagrangian with linearized many-fermion vertices. We obtain, additionally to the known low...
One-loop determinant of Dirac operator in non-renormalizable models
Osipov, A. A.; Hiller, B.; Blin, A. H.We use proper-time regularizations to define the one-loop fermion determinant in the form suggested by Gasser and Leutwyler some years ago. We show how to obtain the polynomial by which this definition of ln detD needs to be modified in order to arrive at the fermion determinant whose modulus is invariant under chiral transformations. As an example it is shown how the fundamental symmetries associated with the ...
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