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Dispersion and uncertainty in multislit matter wave diffraction
Glionna, G.; Blin, A. H.; Hiller, B.; Nemes, M. C.; Sampaio, Marcos; Piza, A. F. R. de ToledoWe show that single and multislit experiments involving matter waves may be constructed to assess dispersively generated correlations between the position and momentum of a single free particle. These correlations give rise to position dependent phases which develop dynamically as a result of dispersion and may play an important role in the interference patterns. To the extent that initial transverse coherence ...
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...
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...
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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