On the problem of relativistic particles motion in a strong magnetic field and dense matter

Balantsev, I.; Popov, Yu. V.; Studenikin, A. I.

doi:10.1088/1751-8113/44/25/255301

Cited by 26 publications

(41 citation statements)

References 18 publications

(35 reference statements)

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“…(12) and (13) by applying the charge conjugation ψē = iγ 2 ψ * e and setting λ = −1 in Eq. (15). Finally one has…”

Section: Induced Electric Current Of Massless Fermions Electroweakly mentioning

confidence: 97%

Electric current induced by an external magnetic field in the presence of electroweak matter

Dvornikov

2018

EPJ Web Conf.

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We study the generation of an electric current, along the external magnetic field, of fermions, interacting by parity violating electroweak forces with background matter. First, we discuss the situation of massive particles with nonzero anomalous magnetic moments. We show that the induced current is vanishing for such particles in the state of equilibrium. Then, the case of massless fermions is studied. We demonstrate that the contribution of the electroweak interaction is washed out from the expression for the current, which turns out to coincide with the prediction of the chiral magnetic effect. Our results are compared with findings of other authors. *

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“…(12) and (13) by applying the charge conjugation ψē = iγ 2 ψ * e and setting λ = −1 in Eq. (15). Finally one has…”

Section: Induced Electric Current Of Massless Fermions Electroweakly mentioning

confidence: 97%

Electric current induced by an external magnetic field in the presence of electroweak matter

Dvornikov

2018

EPJ Web Conf.

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“…For the first time the Dirac equation for a massive electron, electroweakly interacting with background matter under the influence of an external magnetic field, was solved in Ref. [21]. Then this solution was used in Ref.…”

Section: Anomalous Current In the Presence Of The Electroweak Interacmentioning

confidence: 99%

“…are the Hermite functions, H n (η) are the Hermite polynomials, and η = √ eBx + p y / √ eB. The energy spectrum for n > 0 reads [21,22]…”

Section: Anomalous Current In the Presence Of The Electroweak Interacmentioning

confidence: 99%

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Chiral magnetic effect in the presence of an external axial-vector field

Dvornikov

2018

Phys. Rev. D

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We study the excitation of the electric current of chiral fermions along the external magnetic field, known as the chiral magnetic effect, in the presence of the background axial-vector field. The calculation of the current is based on the exact solution of the Dirac equation for these fermions accounting for the external fields. First, this solution was obtained for massive particles and, then, we consider the chiral limit, which is used in the anomalous current computation. We obtain that, in this situation, the anomalous current does not contain the direct contribution of the axial-vector field. This result is compared with findings of other authors. * maxdvo@izmiran.ru

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“…The subtlety lies in the fact that, in the presence of a background field B 0 , as we have discussed in [26][27][28], the dispersion relations for the fermions are affected nontrivially by the presence of B 0 , which differentiates it from the chiral chemical potential case; moreover, there are subtleties related to the order of taking the massless limit m → 0. In the presence of a chiral chemical potential, an external constant magnetic field and a (generic, but constant) axial background (of which our (constant) B 0 is a special case) the CME was discussed in [43], within the framework of relativistic quantum mechanics [55]. It turns out to be important to take the massless (chiral fermion) limit m → 0 at the end of the computation: one should assume massive fermions, in the presence of a B 0 = 0, solve the corresponding Dirac equation, and only at the end take the limit m → 0.…”

Section: B Non-contribution Of the Kr Background To The Chiral Magnementioning

confidence: 99%

Spontaneous CPT Violation and Quantum Anomalies in a Model for Matter–Antimatter Asymmetry in the Cosmos

Mavromatos¹,

Sarkar²

2018

Universe

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We review scenarios of baryogenesis through leptogenesis at early epochs of the universe, in string-inspired minimal extensions of the Standard Model (SM), involving heavy right-handed Majorana neutrinos. Spontaneous violation of CPT symmetry is induced by appropriate (in general, temperature-dependent) backgrounds of the Kalb-Ramond (KR) axion field, which has its origins in the (bosonic) massless string multiplet. As interesting features of the model, we also discuss two issues associated with quantum (chiral) anomalies: (i) the non-contribution of the KR axion background to the (anomalous) chiral magnetic effect, which arises in the presence of external electromagnetic fields and non-zero chiral chemical potentials of charged fermions and (ii) the potential rôle of quantum fluctuations of the KR axion on the (anomalous) radiative generation of a Majorana mass for the right-handed neutrinos themselves.

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On the problem of relativistic particles motion in a strong magnetic field and dense matter

Cited by 26 publications

References 18 publications

Electric current induced by an external magnetic field in the presence of electroweak matter

Electric current induced by an external magnetic field in the presence of electroweak matter

Chiral magnetic effect in the presence of an external axial-vector field

Spontaneous CPT Violation and Quantum Anomalies in a Model for Matter–Antimatter Asymmetry in the Cosmos

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