Weak Decay of Magnetized Pions

Bali, Gunnar S.; Brandt, Bastian B.; Endrődi, Gergely; Gläßle, Benjamin

doi:10.1103/physrevlett.121.072001

Cited by 38 publications

(62 citation statements)

References 47 publications

(90 reference statements)

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“…Besides fixing free parameters of effective descriptions, our results constitute the first lattice determination of magnetized baryon masses at the physical point. This complements earlier lattice calculations of baryon masses with heavier-than-physical quarks [41][42][43], meson masses [10,44,45] and decay rates [46], and properties of heavy quarkonia [47] in strong magnetic fields. Our results might provide useful information for magnetized compact stars and the early stages of heavy-ion collisions, as pointed out above.…”

Section: Introductionsupporting

confidence: 83%

Magnetized baryons and the QCD phase diagram: NJL model meets the lattice

Endrődi

Markó

2019

J. High Energ. Phys.

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We determine the baryon spectrum of 1 + 1 + 1-flavor QCD in the presence of strong background magnetic fields using lattice simulations at physical quark masses for the first time. Our results show a splitting within multiplets according to the electric charge of the baryons and reveal, in particular, a reduction of the nucleon masses for strong magnetic fields. This first-principles input is used to define constituent quark masses and is employed to set the free parameters of the Polyakov loop-extended Nambu-Jona-Lasinio (PNJL) model in a magnetic field-dependent manner. The so constructed model is shown to exhibit inverse magnetic catalysis at high temperatures and a reduction of the transition temperature as the magnetic field grows -in line with non-perturbative lattice results. This is contrary to the naive variant of this model, which gives incorrect results for this fundamental phase diagram. Our findings demonstrate that the magnetic field dependence of the PNJL model can be reconciled with the lattice findings in a systematic way, employing solely zero-temperature first-principles input.

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Section: Introductionsupporting

confidence: 83%

Magnetized baryons and the QCD phase diagram: NJL model meets the lattice

Endrődi

Markó

2019

J. High Energ. Phys.

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“…A further relevant statement has been pointed out in Ref. [40]. In that work it is noted that the presence of the background magnetic field opens the possibility of a nonzero charged pion-to-vacuum transition via the vector piece of the electroweak current.…”

Section: Introductionmentioning

confidence: 78%

“…For the case of the π 0 , some works [7][8][9][10][11][12][13][20][21][22]26,27] have already considered the B dependence of the decay constant f ðA1Þ π 0 , which corresponds to the time component of the axial vector current matrix element. For charged pions, the effect of the magnetic field has been analyzed in the context of ChPT [22], ECCL approach [26], SRQCD [28] and, quite recently, through LQCD calculations [40]. An interesting observation made in Ref.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2019

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In the framework of the Nambu-Jona-Lasino (NJL) model, we study the effect of an intense external uniform magnetic field on neutral and charged pion masses and decay form factors. In particular, the treatment of charged pions is carried out on the basis of the Ritus eigenfunction approach to magnetized relativistic systems. Our analysis shows that in the presence of the magnetic field three and four nonvanishing pion-to-vacuum hadronic form factors can be obtained for the case of the neutral and charged pions, respectively. As expected, it is seen that for nonzero magnetic field the π 0 meson can still be treated as a pseudo Nambu-Goldstone boson, and consequently the corresponding form factors are shown to satisfy various chiral relations. For definite parametrizations of the model, numerical results for π 0 and π AE masses and decay constants are obtained and compared with previous calculations given in the literature.

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“…where U 4 is the staggered equivalent of the timelike component of the continuum axial vector operator [35] that has also been used in Ref. [36]. In Eqs.…”

Section: Appendix A: Lattice Setup and Improvementmentioning

confidence: 99%

New class of compact stars: Pion stars

et al. 2018

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We investigate the viability of a new type of compact star whose main constituent is a Bose-Einstein condensate of charged pions. Several different setups are considered, where a gas of charged leptons and neutrinos is also present. The pionic equation of state is obtained from lattice QCD simulations in the presence of an isospin chemical potential and requires no modeling of the nuclear force. The gravitationally bound configurations of these systems are found by solving the Tolman-Oppenheimer-Volkoff equations. We discuss weak decays within the pion condensed phase and elaborate on the generation mechanism of such objects.

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Weak Decay of Magnetized Pions

Cited by 38 publications

References 47 publications

Magnetized baryons and the QCD phase diagram: NJL model meets the lattice

Magnetized baryons and the QCD phase diagram: NJL model meets the lattice

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

New class of compact stars: Pion stars

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