Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"

Abstract

In this comment, we show that the fundamental equation worked by Dvornikov in his paper is incorrect, which is given by the Dirac equation for a neutrino interacting with matter in a rotating frame (or curved space-time). In particular, Dvornikov incorrectly wrote/defined the interaction term (effective potentials or background matter) in a curved space-time. Consequently, one of his main results (if not the main one), namely the relativistic energy spectrum, is also incorrect (actually partially incorrect). So, starting from the correct Dirac equation with effective potentials in a curved space-time, we obtain the correct energy spectrum for a neutrino interacting with matter in a rotating frame. We observe that the square root of this spectrum is very different from that obtained by Dvornikov. In fact, in our case, the spectrum was obtained from a Bessel equation subject to a hard-wall confining potential, while the Dvornikov spectrum was obtained from an associated Laguerre equation. However, we note that the only correct thing in the Dvornikov spectrum are the terms outside the square root, which agree with those of the correct spectrum.

8 pages, no figure (16 references were added). Comment on arXiv:1503.00608

References in corpus (28)

• Vacuum instability in external fields
• Dirac Fermion Confinement in Graphene
• On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
• Rotating effects on the Dirac oscillator in the cosmic string spacetime
• Noninertial effects on the Dirac oscillator in a topological defect spacetime
• Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation
• Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
• Kepler problem in Dirac theory for a particle with position-dependent mass
• Dirac fermions in strong electric field and quantum transport in graphene
• Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
• On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics
• Torsion and noninertial effects on a nonrelativistic Dirac particle
• Influence of Lorentz- and CPT-violating terms on the Dirac equation
• Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity
• Bound state solutions of the Dirac oscillator in an Aharonov-Bohm-Coulomb system
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Quantum field theoretic approach to neutrino oscillations in matter
• Topological and noninertial effects in an Aharonov-Bohm ring
• Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
• Neutrino interaction with matter in a noninertial frame
• Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• Dirac fermions in a spinning conical Gödel-type spacetime
• Reply on `Comment on The relativistic Aharonov-Bohm-Coulomb system with position-dependent mass'
• Comment on "Neutrino interaction with matter in a noninertial frame"
• Comment on "Exact massless spinor quasibound states of Schwarzschild black hole"
• Probing the equation of state of neutron stars using neutrino oscillations