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      Radiative instability of quantum electrodynamics in chiral matter

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          Abstract

          Modification of the photon dispersion relation in chiral matter enables \(1\to 2\) scattering. As a result, the single fermion and photon states are unstable to photon radiation and pair production respectively. The corresponding spectra are derived in the ultra-relativistic approximation. It is shown that the polarization of the produced and decayed photons is determined by the sign of the chiral conductivity. Impact of a flat thin domain wall on the spectra is computed.

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          Charge separation induced by P-odd bubbles in QCD matter

          A. Zhitnitsky, D. Kharzeev (2007)
          We examine the recent suggestion that P- and CP-odd effects in QCD matter can induce electric charge asymmetry with respect to reaction plane in relativistic heavy ion collisions. General arguments are given which confirm that the angular momentum of QCD matter in the presence of non-zero topological charge should induce an electric field aligned along the axis of the angular momentum. A simple formula relating the magnitude of charge asymmetry to the angular momentum and topological charge is derived. The expected asymmetry is amenable to experimental observation at RHIC and LHC; we discuss the recent preliminary STAR result in light of our findings.
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            Magnetic field instability in a neutron star driven by the electroweak electron-nucleon interaction versus the chiral magnetic effect

            Maxim Dvornikov, Victor B. Semikoz (2014)
            We show that the Standard Model electroweak interaction of ultrarelativistic electrons with nucleons (\(eN\) interaction) in a neutron star (NS) permeated by a seed large-scale helical magnetic field provides its growth up to \(\gtrsim 10^{15}\thinspace\text{G}\) during a time comparable with the ages of young magnetars \(\sim 10^4\thinspace\text{yr}\). The magnetic field instability originates from the parity violation in the \(eN\) interaction entering the generalized Dirac equation for right and left massless electrons in an external uniform magnetic field. We calculate the averaged electric current given by the solution of the modified Dirac equation containing an extra current for right and left electrons (positrons), which turns out to be directed along the magnetic field. Such current includes both a changing chiral imbalance of electrons and the \(eN\) potential given by a constant neutron density in NS. Then we derive the system of the kinetic equations for the chiral imbalance and the magnetic helicity which accounts for the \(eN\) interaction. By solving this system, we show that a sizable chiral imbalance arising in a neutron protostar due to the Urca-process \(e^-_\mathrm{L} + p\to N + \nu_\mathrm{eL}\) diminishes very rapidly because of a huge chirality flip rate. Thus the \(eN\) term prevails the chiral effect providing a huge growth of the magnetic helicity and the helical magnetic field.
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              Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma

              (2016)
              Time evolution of electromagnetic field created in heavy-ion collisions strongly depends on the electromagnetic response of the quark-gluon plasma, which can be described by the Ohmic and chiral conductivities. The later is intimately related to the Chiral Magnetic Effect. I argue that a solution to the classical Maxwell equations at finite chiral conductivity is unstable due to the soft modes \(k<\sigma_\chi\) that grow exponentially with time. In the kinematical region relevant for the relativistic heavy-ion collisions, I derive analytical expressions for the magnetic field of a point charge. I show that finite chiral conductivity causes oscillations of magnetic field at early times.
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                Author and article information

                Journal
                Publication date Created: 19 June 2018
                Article
                ArXiV ID: 1806.07340
                SO-VID: 59294e4f-7a5f-4b4c-9c2a-0092324a6cee
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Comments 13 pages
                Categories hep-ph nucl-th

                ScienceOpen disciplines: High energy & Particle physics,Nuclear physics
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                ScienceOpen disciplines: High energy & Particle physics, Nuclear physics

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