Neutral and charged pion properties under strong magnetic fields in the NJL model

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

doi:10.1103/physrevd.100.054014

Cited by 50 publications

(41 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(10)(11)(12) of Ref. [17]. In that paper, both the procedure followed to obtain the regularized gap equation and the expressions required to calculate various meson properties are discussed in detail.…”

Section: Theoretical Formalismmentioning

confidence: 99%

“…In this situation, as done in Ref. [17] for the case of charged pions, it is convenient to expand the diquark field in terms of Ritus eigenfunctions. We have…”

Section: B Diquark Mass and Propagatormentioning

confidence: 99%

“…To deal with low energy QCD, various theoretical approaches have been followed, e.g. Nambu-Jona-Lasinio (NJL)-like models [7][8][9][10][11][12][13][14][15][16][17][18][19], quark-meson models [20,21], chiral perturbation theory (ChPT) [22][23][24], path integral Hamiltonians [25,26], Effective Chiral Confinement Lagrangian approaches (ECCL) [27,28] and QCD sum rules (SRQCD) [29]. In addition, results for the light meson spectrum in the presence of background magnetic fields have been obtained from LQCD calculations [30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

“…In this situation, some existing calculations [12,15] just neglect Schwinger phases, considering only the translational invariant part of the quark propagators. Recently [16,17], we have introduced a method that allows to fully take into account the translational-breaking effects introduced by the Schwinger phases in the calculation of charged meson masses within the RPA. This method, based on the Ritus eigenfunction approach [48] to magnetized relativistic systems, allows to diagonalize the charged pion polarization function in order to obtain the corresponding meson masses.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, in Ref. [16,17] we have used a regularization procedure in which only the vacuum contributions to different quantities at zero external magnetic field are regularized. This scheme, that goes under the name of "Magnetic Field Independent Regularization", has been shown to provide more reliable predictions in comparison with other regularization methods often used in the literature [49].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Charged pion masses under strong magnetic fields in the NJL model

2018

Self Cite

View full text Add to dashboard Cite

The behavior of charged and neutral pion masses in the presence of a static uniform magnetic field is studied in the framework of the two-flavor Nambu-Jona-Lasinio (NJL) model. Analytical calculations are carried out employing the Ritus eigenfunction method. Numerical results are obtained for definite model parameters, comparing the predictions of the model with present lattice QCD (LQCD) results.The study of the behavior of strongly interacting matter under intense external magnetic fields has gained increasing interest in the last few years, especially due to its applications to the analysis of relativistic heavy ion collisions and the description of compact objects like magnetars [1]. In this work we concentrate on the effect of an intense external magnetic field on π meson properties. This issue has been studied in the last years following various theoretical approaches for low-energy QCD, such as NJL-like models, chiral perturbation theory, path integral Hamiltonians and LQCD calculations (see e.g.[1] and refs therein). In the framework of the NJL model, mesons are usually described as quantum fluctuations in the random phase approximation (RPA) [2]. In the presence of a magnetic field, the corresponding calculations require some special care, due to the appearance of Schwinger phases [3] associated with quark propagators. For the neutral pion these phases cancel out, and as a consequence the usual momentum basis can be used to diagonalize the corresponding polarization function [4][5][6][7]. On the other hand, for charged pions Schwinger phases do not cancel, leading to a breakdown of translational invariance that prevents to proceed as in the neutral case. In this contribution we present a method based on the Ritus eigenfunction approach [8] to magnetized relativistic systems, which allows us to fully diagonalize the charged pion polarization function. Further details of this work can be found in Ref. [9].We start by considering the Euclidean Lagrangian density for the NJL two-flavor model in the presence of an electromagnetic field. One haswhere ψ = (u d) T , τ i are the Pauli matrices, and m 0 is the current quark mass, which is assumed to be equal for u and d quarks. The interaction between the fermions and the electromagnetic field A µ is driven by the covariant derivative D µ = ∂ µ − iQA µ whereQ = diag(q u , q d ), with q u = 2e/3 and q d = −e/3, e being the proton electric charge. We consider here an homogeneous stationary magnetic field along the 3 axis in the Landau gauge, A µ = B x 1 δ µ2 .

show abstract

Section: Theoretical Formalismmentioning

confidence: 99%

“…In this situation, as done in Ref. [17] for the case of charged pions, it is convenient to expand the diquark field in terms of Ritus eigenfunctions. We have…”

Section: B Diquark Mass and Propagatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Charged pion masses under strong magnetic fields in the NJL model

2018

Self Cite

View full text Add to dashboard Cite

show abstract

Particle interaction strengths modified by magnetic fields

2023

View full text Add to dashboard Cite

Magnetic fields are everywhere in the Universe and in our everyday life and many processes are affected by their presence, generating a rich phenomenology that depends also on other possible external agents. We review here some results, both from our workgroup and from other research groups, about the effect of magnetic fields on particles interaction processes, focusing mainly on recent results, but without losing sight on early seminal works on this topic. A vast assortment of physical situations and of analytical and numerical approaches can be found in the literature in this subject, making the comparison between them not straightforward. Our aim is to focus attention on differences and similarities between the different situations and approaches, looking for a systematization scheme that could be predictive, once the role played by each physical ingredient could be understood. The main purpose of this work is to find some physical explanations of the ongoing processes.

show abstract

Magnetic field driven enhancement of the weak decay width of charged pions

Coppola

Dumm

Noguera

et al. 2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We study the effect of a uniform magnetic field $$ \overrightarrow{B} $$ B → on the decays $$ {\pi}^{-}\to {l}^{-}{\overline{\nu}}_l $$ π − → l − ν ¯ l , where l− = e−, μ−, carrying out a general analysis that includes four π− decay constants. Taking the values of these constants from a chiral effective Nambu-Jona-Lasinio (NJL) model, it is seen that the total decay rate gets strongly increased with respect to the B = 0 case, with an enhancement factor ranging from ∼ 10 for eB = 0.1 GeV2 up to ∼ 103 for eB = 1 GeV2. The ratio between electronic and muonic decays gets also enhanced, reaching a value of about 1 : 2 for eB = 1 GeV2. In addition, we find that for large B the angular distribution of outgoing antineutrinos shows a significant suppression in the direction of the magnetic field.

show abstract

Neutral and charged pion properties under strong magnetic fields in the NJL model

Cited by 50 publications

References 51 publications

Charged pion masses under strong magnetic fields in the NJL model

Charged pion masses under strong magnetic fields in the NJL model

Particle interaction strengths modified by magnetic fields

Magnetic field driven enhancement of the weak decay width of charged pions

Contact Info

Product

Resources

About