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Nuclear Theory·nucl-th

Wednesday·December 17, 2014

11 papers—7 primary·4 cross-listed

All11Primary7Cross-lists4
  1. 08

    [Submitted on 16 Dec 2014] (cross-list from hep-ph)

    The Spinless Relativistic Kink-Like Problem

    Wolfgang Lucha🇦🇹 · Franz F. Schöberl🇦🇹

    We constrain the possible bound-state solutions of the spinless Salpeter equation (the most obvious semirelativistic generalization of the nonrelativistic Schrödinger equation) with an interaction between the bound-state constituents given by the kink-like potential (a central potential of hyperbolic-tangent form) by formulating a bunch of very elementary boundary conditions to be satisfied by all solutions of the eigenvalue problem posed by a bound-state equation of this type, only to learn that all results produced by a procedure very much liked by some quantum-theory practitioners prove to be in severe conflict with our expectations.

    Comments:
    8 pages
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Mathematical Physics (math-ph); math.MP (math.MP); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
    arXiv:
    1412.4950 [pdf]
    Int.J.Mod.Phys.A(2015)·6 citations
  2. 09

    [Submitted on 16 Dec 2014] (cross-list from hep-th)

    Meson turbulence at quark deconfinement from AdS/CFT

    Koji Hashimoto🇯🇵 · Shunichiro Kinoshita🇯🇵 · Keiju Murata🇯🇵 · Takashi Oka🇯🇵

    Based on the QCD string picture at confining phase, we conjecture that the deconfinement transition always accompanies a condensation of higher meson resonances with a power-law behavior, "meson turbulence". We employ the AdS/CFT correspondence to calculate the meson turbulence for supersymmetric QCD at large and at strong coupling limit, and find that the energy distribution to each meson level scales as with the universal scaling . The universality is checked for various ways to attain the quark deconfinement: a static electric field below/around the critical value, a time-dependent electric field quench, and a time-dependent quark mass quench, all result in the turbulent meson condensation with the universal power around the deconfinement.

    Comments:
    20 pages, 17 figures
    Subjects:
    High Energy Physics — Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    1412.4964 [pdf]
    NPB(2015)·9 citations
  3. 10

    [Submitted on 16 Dec 2014] (cross-list from hep-th)

    Heavy Quark Potential at Finite Temperature in a Dual Gravity Closer to Large N QCD

    Binoy Krishna Patra🇮🇳 · Himanshu Khanchandani🇮🇳

    In gauge-gravity duality, the heavy quark potential at finite temperature is usually calculated with the pure AdS background, which does not capture the renormalization group (RG) running in the gauge theory part. In addition, the potential does not contain any confining term in the deconfined phase. Following the Klebanov-Strassler geometry, we employ a geometry, which captures the RG flow similar to QCD, to obtain the heavy quark potential by analytically continuing the string configurations into the complex plane. In addition to the attractive terms, the obtained potential has confining terms both at and , compared to the calculations usually done in the literature, where only the Coulomb-like term is present in the deconfined phase. The potential also develops an (negative) imaginary part above a critical separation, . Moreover, our potential exhibits a behavior different from the usual Debye screening obtained from perturbation theory.

    Comments:
    18 pages, one figure; Typos corrected, replaced by published version
    Subjects:
    High Energy Physics — Theory (hep-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    1412.5003 [pdf]
    PRD(2015)·12 citations
  4. 11

    [Submitted on 16 Dec 2014] (cross-list from hep-ph)

    Gravity waves generated by sounds from big bang phase transitions

    Tigran Kalaydzhyan🇺🇸 · Edward Shuryak🇺🇸

    Inhomogeneities associated with the cosmological QCD and electroweak phase transitions produce hydrodynamical perturbations, longitudinal sounds and rotations. It has been demonstrated by Hindmarsh et al. that the sounds produce gravity waves (GW) well after the phase transition is over. We further argue that, under certain conditions, an inverse acoustic cascade may occur and move sound perturbations from the (UV) momentum scale at which the sound is originally produced to much smaller (IR) momenta. The weak turbulence regime of this cascade is studied via the Boltzmann equation, possessing stationary power and time-dependent self-similar solutions. We suggest certain indices for the strong turbulence regime as well, into which the cascade eventually proceeds. Finally, we point out that two on-shell sound waves can produce one on-shell gravity wave, and we evaluate the rate of the process using a standard sound loop diagram.

    Comments:
    13 pages. Published version
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    1412.5147 [pdf]
    PRD(2015)·33 citations

Affiliations

first authorsco-authorsvia INSPIRE