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Nuclear Theory·nucl-th

Tuesday·December 4, 2018

10 papers—6 primary·4 cross-listed

All10Primary6Cross-lists4
  1. 07

    [Submitted on 2 Dec 2018] (cross-list from hep-ph)

    Recent Progress in QCD Condensate Evaluations and Sum Rules

    Philipp Gubler🇯🇵 · Daisuke Satow🇯🇵

    We review the recent status of the QCD sum rule approach to study the properties of hadrons in vacuum and in hot or dense matter. Special focus is laid on the progress made in the evaluation of the QCD condensates, which are the input of all QCD sum rule calculations, and for which much new information has become available through high precision lattice QCD calculations, chiral perturbation theory and experimental measurements. Furthermore, we critically examine common analysis methods for QCD sum rules and contrast them with potential alternative strategies. The status of QCD sum rule studies investigating the modification of hadrons at finite density as well as recent derivations of exact sum rules applicable to finite temperature spectral functions, are also reviewed.

    Comments:
    106 pages, 25 figures, 7 tables, matches published version in Progress in Particle and Nuclear Physics, 2019
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Lattice (hep-lat); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
    arXiv:
    1812.00385 [pdf]
    PPNP(2019)·136 citations
  2. 08

    [Submitted on 2 Dec 2018] (cross-list from cond-mat.quant-gas)

    Four-Body Scale in Universal Few-Boson Systems

    Betzalel Bazak🇮🇱 · Johannes Kirscher🇺🇸 · Sebastian König🇩🇪 · Manuel Pavón Valderrama🇨🇳 · Nir Barnea🇮🇱 · Ubirajara van Kolck🇫🇷

    The role of an intrinsic four-body scale in universal few-boson systems is the subject of active debate. We study these systems within the framework of effective field theory. For systems of up to six bosons we establish that no four-body scale appears at leading order (LO). However, we find that at next-to-leading (NLO) order a four-body force is needed to obtain renormalized results for binding energies. With the associated parameter fixed to the binding energy of the four-boson system, this force is shown to renormalize the five- and six-body systems as well. We present an original ansatz for the short-distance limit of the bosonic -body wave function from which we conjecture that new -body scales appear at NLO. As a specific example, calculations are presented for clusters of helium atoms. Our results apply more generally to other few-body systems governed by a large scattering length, such as light nuclei and halo states, the low-energy properties of which are independent of the detailed internal structure of the constituents.

    Subjects:
    Quantum Gases (cond-mat.quant-gas); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
    arXiv:
    1812.00387 [pdf]
    PRL(2019)·66 citations
  3. 09

    [Submitted on 3 Dec 2018] (cross-list from cond-mat.str-el)

    Functional-renormalization-group aided density-functional analysis for the correlation energy of the two-dimensional homogeneous electron gas

    Takeru Yokota🇯🇵 · Tomoya Naito🇯🇵

    The functional-renormalization-group aided density-functional theory (FRG-DFT) is applied to the two-dimensional homogeneous electron gas (2DHEG). The correlation energy of the 2DHEG is derived as a function of the Wigner-Seitz radius directly. We find that our correlation energy completely reproduces the exact behavior at the high-density limit. For finite density, the result of FRG-DFT shows good agreement with the Monte Carlo (MC) results in the high-density region, although the discrepancy between FRG-DFT and MC results becomes larger as the system becomes more dilute. Our study is the first example in which the FRG-DFT is applied to more-than-one-dimensional models, and shows that the FRG-DFT is a feasible and promising method even for the analysis of realistic models for quantum many-body systems.

    Comments:
    10 pages, 1 figure, 1 table
    Subjects:
    Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    1812.00588 [pdf]
    PRB(2019)·16 citations
  4. 10

    [Submitted on 3 Dec 2018] (cross-list from hep-ph)

    Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model

    Sidney S. Avancini🇧🇷 · Ricardo L. S. Farias🇧🇷 · William R. Tavares🇧🇷

    A magnetic field independent regularization scheme (zMFIR) based on the Hurwitz-Riemann zeta function is introduced. The new technique is applied to the regularization of the mean-field thermodynamic potential and mass gap equation within the SU(2) Nambu-Jona-Lasinio model in a hot and magnetized medium. The equivalence of the new and the standard MFIR scheme is demonstrated. The neutral meson pole mass is calculated in a hot and magnetized medium and the advantages of using the new regularization scheme are shown.

    Comments:
    14 pages, 4 figures, replaced with updated version matching the published one
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    1812.00945 [pdf]
    PRD(2019)·81 citations

Affiliations

first authorsco-authorsvia INSPIRE