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Nuclear Theory·nucl-th

Thursday·December 21, 2017

8 papers—4 primary·4 cross-listed

All8Primary4Cross-lists4
  1. 05

    [Submitted on 4 Dec 2017] (cross-list from cond-mat.str-el)

    Consistent hydrodynamic theory of chiral electrons in Weyl semimetals

    E. V. Gorbar🇺🇦 · V. A. Miransky🇨🇦 · I. A. Shovkovy🇺🇸 · P. O. Sukhachov🇨🇦

    The complete set of Maxwell's and hydrodynamic equations for the chiral electrons in Weyl semimetals is presented. The formulation of the Euler equation takes into account the explicit breaking of the Galilean invariance by the ion lattice. It is shown that the Chern-Simons (or Bardeen-Zumino) contributions should be added to the electric current and charge densities in Maxwell's equations that provide the information on the separation of Weyl nodes in energy and momentum. On the other hand, these topological contributions do not directly affect the Euler equation and the energy conservation relation for the electron fluid. By making use of the proposed consistent hydrodynamic framework, we show that the Chern-Simons contributions strongly modify the dispersion relations of collective modes in Weyl semimetals. This is reflected, in particular, in the existence of distinctive anomalous Hall waves, which are sustained by the local anomalous Hall currents.

    Comments:
    6+8 pages, 1 figure; published version; a few minor typos in the definitions of and are corrected
    Subjects:
    Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    1712.01289 [pdf]
    PRB(2018)·30 citations
  2. 06

    [Submitted on 19 Dec 2017] (cross-list from hep-ex)

    Muon-neutrino-induced charged current cross section without pions: Theoretical analysis

    U. Mosel🇩🇪 · K. Gallmeister🇩🇪

    We calculate the charged current cross sections obtained at the T2K near detector for -induced events without pions in the final state. The method used is quantum-kinetic transport theory. Results are shown first, as a benchmark, for electron inclusive cross sections on C and O to be followed with a detailed comparison with the data measured by the T2K collaboration on CH and HO targets. The contribution of 2p2h processes is found to be relevant mostly for backwards angles; their theoretical uncertainties are within the experimental uncertainties. Particular emphasis is then put on a discussion of events in which pions are first created, but then reabsorbed. Their contribution is found to be essential at forward angles.

    Comments:
    Version essentially identical with published version in Phys. Rev. C
    Subjects:
    High Energy Physics — Experiment (hep-ex); High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
    arXiv:
    1712.07134 [pdf]
    PRC(2018)·20 citations
  3. 07

    [Submitted on 19 Dec 2017] (cross-list from quant-ph)

    Fluctuations and correlations in scattering on a resonance coupled to a chaotic background

    D. V. Savin

    We discuss and briefly overview recent progress with studying fluctuations in scattering on a resonance state coupled to the background of many chaotic states. Such a problem arises naturally, e.g., when dealing with wave propagation in the presence of a complex environment. Using a statistical model based on random matrix theory, we obtain a number of nonperturbative results for various statistics of scattering characteristics. This includes the joint and marginal distributions of the reflection and transmission intensities and phases, which are derived exactly at arbitrary coupling to the background with finite absorption. The intensities and phases are found to exhibit highly non-trivial statistical correlations, which remain essential even in the limit of strong absorption. In the latter case, we also consider the relevant approximations and their accuracy. As an application, we briefly discuss the statistics of the phase rigidity (or mode complexness) in such a scattering situation.

    Comments:
    7 pages, 4 figures (in the Proceedings of 8th Workshop on Quantum Chaos and Localisation Phenomena, Warsaw, Poland: May 19-21, 2017)
    Subjects:
    Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph); math.MP (math.MP); Nuclear Theory (nucl-th)
    arXiv:
    1712.07178 [pdf]
    Acta Phys.Polon.A(2017)·2 citations
  4. 08

    [Submitted on 19 Dec 2017] (cross-list from hep-lat)

    Complex Langevin Simulation of a Random Matrix Model at Nonzero Chemical Potential

    J. Bloch🇩🇪 · J. Glesaaen🇬🇧 · J. J. M. Verbaarschot🇺🇸 · S. Zafeiropoulos🇩🇪

    In this paper we test the complex Langevin algorithm for numerical simulations of a random matrix model of QCD with a first order phase transition to a phase of finite baryon density. We observe that a naive implementation of the algorithm leads to phase quenched results, which were also derived analytically in this article. We test several fixes for the convergence issues of the algorithm, in particular the method of gauge cooling, the shifted representation, the deformation technique and reweighted complex Langevin, but only the latter method reproduces the correct analytical results in the region where the quark mass is inside the domain of the eigenvalues. In order to shed more light on the issues of the methods we also apply them to a similar random matrix model with a milder sign problem and no phase transition, and in that case gauge cooling cooling solves the convergence problems as was shown before in the literature.

    Comments:
    33 pages, 22 figures
    Subjects:
    High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    1712.07514 [pdf]
    JHEP(2018)·46 citations

Affiliations

first authorsco-authorsvia INSPIRE