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Nuclear Theory·nucl-th

Friday·July 19, 2024

6 papers—2 primary·4 cross-listed

All6Primary2Cross-lists4
  1. 01

    [Submitted on 17 Jul 2024]

    An Analytic Yang-Mills Vacuum Calculation in

    Seth Grable🇺🇸

    I present a novel analytic framework for Yang-Mills theory in the four-dimensional continuum. Background and effective field theory techniques are used to include non-perturbative contributions from cubic and quartic interactions. This approach is inspired by Savvidy who claims first-order contributions from quartic interactions stabilize IR divergence found at one-loop order, making possible IR finite Yang-Mills calculations. I assess the validity of this claim and discuss the implications of my findings.

    Subjects:
    Nuclear Theory (nucl-th); High Energy Physics — Theory (hep-th)
    arXiv:
    2407.13042 [pdf]
    0 citations
  2. 02

    [Submitted on 18 Jul 2024]

    Functional Renormalization Group analysis of the quark-condensation pattern on the Fermi surface: A simple effective-model approach

    Kie Sang Jeong🇩🇪 · Fabrizio Murgana🇩🇪 · Ashutosh Dash🇩🇪 · Dirk H. Rischke🇩🇪

    A simple effective model for the intermediate-density regime is constructed from the high-density effective theory of quantum chromodynamics (QCD). In the effective model, under a renormalization-group (RG) scaling towards low momenta, the original QCD interactions lead to four-quark contact interactions for the relevant quark and hole modes around the Fermi surface. The contact interaction in the scalar channel can be traced back to zero-sound-type collinear quark scattering near the Fermi surface in an instanton background. The quark and hole states in opposite directions of a given Fermi velocity form the collective scalar bosonic mode . The magnitude of is investigated via the non-perturbative Functional Renormalization Group (FRG) evolution of the effective average action from the ultraviolet (UV) to the infrared (IR). In the mean background-field approximation for , nontrivial minima () are found in the IR limit of the effective average action. A nonvanishing corresponds to condensation of quark and hole states in opposite directions of a given Fermi velocity, in a thin shell-like structure in momentum space around the Fermi surface. This looks similar to the shell-like baryon distribution in momentum space assumed in the quarkyonic-matter concept. However, when including a dynamic bosonic -mode in the RG flow, we find that its diffusive nature destroys the quark-hole condensate, i.e., the IR potential does not show any minima beyond the trivial one.

    Comments:
    27 pages, 11 figures
    Subjects:
    Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph)
    arXiv:
    2407.13589 [pdf]
    PRD(2025)·6 citations

Affiliations

first authorsco-authorsvia INSPIRE