Pion radiative weak decays in nonlocal chiral quark models

Dumm, D. Gómez; Noguera, S.; Scoccola, N. N.

doi:10.1016/j.physletb.2011.03.002

Cited by 24 publications

(37 citation statements)

References 45 publications

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“…In fact, nonlocality arises naturally in the context of successful descriptions of low-energy quark dynamics [34,35], and it has been shown [36] that nonlocal models can lead to a momentum dependence in quark propagators that is consistent with LQCD results. It is also found that in this framework one obtains an adequate description of the properties of light mesons at both zero and finite temperature/density [36][37][38][39][40][41][42][43][44][45][46][47]. Moreover, nlPNJL models (in the absence of interactions with external fields) provide a description of the chiral restoration and deconfinement transitions that is found to be in qualitative agreement with LQCD calculations [47][48][49][50][51].…”

Section: Introductionsupporting

confidence: 62%

“…It is interesting to consider the effective mass for the particular case of a Gaussian form factor, given by Eq. (46). It can be seen that in this case the components of the momentum that are parallel and transverse to the magnetic field become disentangled.…”

Section: -6mentioning

confidence: 92%

“…(2). One has ψðx − z=2Þ → Wðx; x − z=2Þψðx − z=2Þ; ð4Þ and a related change holds forψðx þ z=2Þ [36,38,46]. Here, the function Wðs; tÞ is defined by…”

Section: Theoretical Formalismmentioning

confidence: 99%

“…In fact, although for some particular observables the dependence on the path has been investigated and found to be quite weak (see, e.g., Refs. [41,46]), a thorough analysis of this issue is still lacking.…”

Section: Theoretical Formalismmentioning

confidence: 99%

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Strong magnetic fields in nonlocal chiral quark models

et al. 2017

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We study the behavior of strongly interacting matter under a uniform intense external magnetic field in the context of nonlocal extensions of the Polyakov-Nambu-Jona-Lasinio model. A detailed description of the formalism is presented, considering the cases of zero and finite temperature. In particular, we analyze the effect of the magnetic field on the chiral restoration and deconfinement transitions, which are found to occur at approximately the same critical temperatures. Our results show that these models offer a natural framework to account for the phenomenon of inverse magnetic catalysis found in lattice QCD calculations.

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Section: Introductionsupporting

confidence: 62%

Section: -6mentioning

confidence: 92%

“…(2). One has ψðx − z=2Þ → Wðx; x − z=2Þψðx − z=2Þ; ð4Þ and a related change holds forψðx þ z=2Þ [36,38,46]. Here, the function Wðs; tÞ is defined by…”

Section: Theoretical Formalismmentioning

confidence: 99%

Section: Theoretical Formalismmentioning

confidence: 99%

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Strong magnetic fields in nonlocal chiral quark models

et al. 2017

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“…Another advantage of these models is that the effective interaction is finite to all orders in the loop expansion, and therefore there is no need to introduce extra cutoffs [33]. Moreover, in this framework it is possible to obtain an adequate description of the properties of light mesons at both zero and finite temperature/density [32,[34][35][36][37][38][39][40][41][42][43]. A previous attempt of considering the effect of an external magnetic field within these models was done in Ref.…”

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confidence: 99%

Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models

et al. 2017

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We study the behavior of strongly interacting matter under an external constant magnetic field in the context of nonlocal chiral quark models within the mean field approximation. We find that at zero temperature the behavior of the quark condensates shows the expected magnetic catalysis effect, our predictions being in good quantitative agreement with lattice QCD results. On the other hand, in contrast to what happens in the standard local Nambu−Jona-Lasinio model, when the analysis is extended to the case of finite temperature our results show that nonlocal models naturally lead to the Inverse Magnetic Catalysis effect.PACS numbers: 21.65. Qr, 25.75.Nq, 75.30.Kz, 11.30.Rd 1 Over the last few years, the understanding of the behavior of strongly interacting matter under extremely intense magnetic fields has attracted increasing attention, due to its relevance for various subjects such as the physics of compact objects like magnetars [1], the analysis of heavy ion collisions at very high energies [2] and the study of the first phases of the Universe [3]. Consequently, considerable work has been devoted to studying the structure of the QCD phase diagram in the presence of an external magnetic field (see Refs. [4][5][6] for recent reviews). On the basis of the results arising from most low-energy effective models of QCD it was generally expected that, at zero chemical potential, the magnetic field would lead to an enhancement of the chiral condensate ("magnetic catalysis"), independently of the temperature of the system. However, lattice QCD (LQCD) calculations carried out with physical pion masses [7,8] show that, whereas at low temperatures one finds indeed such an enhancement, the situation is quite different close to the critical chiral restoration temperature: in that region light quark condensates exhibit a nonmonotonic behavior as functions of the external magnetic field, which results in a decrease of the transition temperature when the magnetic field is increased. This effect is known as inverse magnetic catalysis (IMC). Although many scenarios have been considered in the last few years to account for the IMC , the mechanism behind this effect is not yet fully understood. With this motivation, in this work we study the behavior of strongly interacting matter under an ex-

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Quark matter phase diagram under the influence of strong magnetic fields with a nonlocal chiral model

et al. 2022

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We study the phase diagram in the − plane for quark matter under the influence of a strong uniform magnetic field ⃗ , in the framework of a non-local extension of the two-flavor Polyakov-Nambu-Jona-Lasinio model. We analyze the deconfinement and chiral symmetry restoration transitions in the mean field approximation. For the considered parameterization, it is found that there is always a critical end point (CEP) in the − plane that separates a first-order transition line from a smooth crossover. The location of the CEP is studied as a function of the magnetic field.

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Pion radiative weak decays in nonlocal chiral quark models

Cited by 24 publications

References 45 publications

Strong magnetic fields in nonlocal chiral quark models

Strong magnetic fields in nonlocal chiral quark models

Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models

Quark matter phase diagram under the influence of strong magnetic fields with a nonlocal chiral model

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