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Nuclear Theory·nucl-th

Thursday·May 12, 2022

10 papers—4 primary·6 cross-listed

All10Primary4Cross-lists6
  1. 05

    [Submitted on 9 May 2022] (cross-list from hep-ph)

    Gauge Invariance of Non-Abelian Field Strength Correlators: the Axial Gauge Puzzle

    Bruno Scheihing-Hitschfeld🇺🇸 · Xiaojun Yao🇺🇸

    Many transport coefficients of the quark-gluon plasma and nuclear structure functions can be written as gauge invariant correlation functions of non-Abelian field strengths dressed with Wilson lines. We discuss the applicability of axial gauge to calculate them. In particular, we address issues that appear when one attempts to trivialize the Wilson lines in the correlation functions by gauge-fixing. We find it is always impossible to completely remove the gauge fields in Wilson lines that extend to infinity in the -direction by means of gauge transformations. We show how the obstruction appears in an explicit example of a perturbative calculation, and we also explain it more generally from the perspective of the path integral that defines the theory. Our results explain why the two correlators that define the heavy quark and quarkonium transport coefficients, which are seemingly equal in axial gauge, are actually different physical quantities of the quark-gluon plasma and have different values. Furthermore, our findings provide insights into the difference between two inequivalent gluon parton distribution functions.

    Comments:
    16 pages, 2 figures; v2: published version
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    2205.04477 [pdf]
    PRL(2023)·25 citations
  2. 06

    [Submitted on 10 May 2022] (cross-list from hep-ph)

    Deconfinement phase transition and quark condensate in compact stars

    Hao-Miao Jin🇨🇳 · Cheng-Jun Xia🇨🇳 · Ting-Ting Sun🇨🇳 · Guang-Xiong Peng🇨🇳

    We investigate systematically the possible deconfinement phase transition from nuclear matter to quark matter in compact stars. The properties of nuclear matter are fixed by expanding its binding energy to the order of , while those of quark matter are predicted by an equivparticle model. The Maxwell construction is then applied for the quark-hadron mixed phase. By confronting compact star structures with pulsar observations, we obtain several EOSs that are compatible with the latest observations while supporting quark cores inside the most massive stars. It is found that the quark core is rather small and does not emerge for compact stars with . The in-medium quark condensate of the stellar matter in those stars are then extracted within the framework of an equivparticle model, which decreases nonlinearly with density. At larger densities with pure quark matter, the quark condensate is still large and does not necessary decrease with density, indicating significant nonperturbative contributions within the density regions covered by compact stars.

    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2205.04801 [pdf]
    2 citations
  3. 07

    [Submitted on 10 May 2022] (cross-list from cond-mat.stat-mech)

    Transport Equation for Small Systems and Nonadditive Entropy

    Eugenio Megias🇪🇸 · Jose A. S. Lima🇧🇷 · Airton Deppman🇧🇷

    The nonadditive entropy introduced by Tsallis in 1988 has been used in different fields and generalizes the Boltzmann entropy extending the possibilities of application of the statistical methods developed in the context of Mechanics. Here we investigate one of the last points of the theory that still are under discussion: the source term of the nonextensive transport equation. Based on a simple system, we show that the nonadditivity is a direct consequence of the phase space topology, and derive the source term that leads to the nonextensive transport equation.

    Comments:
    8 pages
    Subjects:
    Statistical Mechanics (cond-mat.stat-mech); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2205.04947 [pdf]
    Mathematics(2022)·5 citations
  4. 08

    [Submitted on 10 May 2022] (cross-list from hep-ph)

    Precision boson-jet azimuthal decorrelation at hadron colliders

    Yang-Ting Chien🇺🇸 · Rudi Rahn🇳🇱 · Ding Yu Shao🇨🇳 · Wouter J. Waalewijn🇳🇱 · Bin Wu🇪🇸

    The azimuthal angular decorrelation of a vector boson and jet is sensitive to QCD radiation, and can be used to probe the quark-gluon plasma in heavy-ion collisions. By using a recoil-free jet definition, the sensitivity to contamination from soft radiation on the measurement is reduced, and the complication of non-global logarithms is eliminated from our theoretical calculation. Specifically we will consider the recombination scheme, as well as the limit, known as the winner-take-all scheme. These jet definitions also significantly simplify the calculation for a track-based measurement, which is preferred due to its superior angular resolution. We present a detailed discussion of the factorization in Soft-Collinear Effective Theory, revealing why the transverse momentum is more complicated than the azimuthal angle. We show that potential glauber contributions do not spoil our factorization formalism, at least up to and including order . The resummation is carried out using the renormalization group, and all necessary ingredients are collected or calculated. We conclude with a detailed phenomenological study, finding an enhanced matching correction for high jet due to the electroweak collinear enhancement of a boson emission off di-jets. We also compare with the Pythia event generator, finding that our observable is very robust to hadronization and the underlying event.

    Comments:
    51 pages, 15 figures. Published version
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2205.05104 [pdf]
    JHEP(2023)·38 citations
  5. 09

    [Submitted on 10 May 2022] (cross-list from hep-ph)

    One-dimensional complex potentials for quarkonia in a quark-gluon plasma

    Roland Katz🇫🇷 · Stéphane Delorme🇫🇷 · Pol-Bernard Gossiaux🇫🇷

    Master equations of the Lindblad type have recently been derived to describe the dynamics of quarkonium states in the quark-gluon plasma. Because their full resolution in three dimensions is very challenging, the equations are often reduced to one dimension. The main ingredient of these equations is the complex potential that describes the binding of the heavy quark-antiquark pairs and their interactions with the medium. In this work, we propose a one-dimensional complex potential parameterized to reproduce at best two key properties -- the temperature-dependent masses of the eigenstates and their decay widths -- of a three-dimensional lattice QCD inspired potential. Their spectral decompositions are calculated to check their compatibility with the positivity of the master equations.

    Comments:
    24 pages, 48 figures
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2205.05154 [pdf]
    EPJA(2022)·11 citations
  6. 10

    [Submitted on 11 May 2022] (cross-list from hep-ph)

    Factorial cumulants from short-range correlations and global baryon number conservation

    Michał Barej🇵🇱 · Adam Bzdak🇵🇱

    We calculate the baryon factorial cumulants assuming arbitrary short-range correlations and the global baryon number conservation. The general factorial cumulant generating function is derived. Various relations between factorial cumulants subjected to baryon number conservation and the factorial cumulants without this constraint are presented. We observe that for -th factorial cumulant, the short-range correlations of more than particles are suppressed with the increasing number of particles. The recently published [1] relations between the cumulants in a finite acceptance with global baryon conservation and the grand-canonical susceptibilities are reproduced.

    Comments:
    18 pages, 3 figures
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
    arXiv:
    2205.05497 [pdf]
    PRC(2022)·9 citations

Affiliations

first authorsco-authorsvia INSPIRE