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Nuclear Theory·nucl-th

Monday·August 3, 2020

10 papers—4 primary·6 cross-listed

All10Primary4Cross-lists6
  1. 05

    [Submitted on 16 Jul 2020] (cross-list from hep-th)

    Higgs-confinement phase transitions with fundamental representation matter

    Aleksey Cherman🇺🇸 · Theodore Jacobson🇺🇸 · Srimoyee Sen🇺🇸 · Laurence G. Yaffe🇺🇸

    We discuss the conditions under which Higgs and confining regimes in gauge theories with fundamental representation matter fields can be sharply distinguished. It is widely believed that these regimes are smoothly connected unless they are distinguished by the realization of global symmetries. However, we show that when a global symmetry is spontaneously broken in \emph{both} the confining and Higgs regimes, the two phases can be separated by a phase boundary. The phase transition between the two regimes may be detected by a novel topological vortex order parameter. We first illustrate these ideas by explicit calculations in gauge theories in three spacetime dimensions. Then we show how our analysis generalizes to four dimensions, where it implies that nuclear matter and quark matter are sharply distinct phases of QCD with an approximate flavor symmetry.

    Comments:
    v3: published version
    Subjects:
    High Energy Physics — Theory (hep-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2007.08539 [pdf]
    PRD(2020)·38 citations
  2. 06

    [Submitted on 31 Jul 2020] (cross-list from cond-mat.quant-gas)

    Three identical bosons: Properties in non-integer dimensions and in external fields

    E. Garrido · A.S. Jensen

    Three-body systems that are continuously squeezed from a three-dimensional (3D) space into a two-dimensional (2D) space are investigated. Such a squeezing can be obtained by means of an external confining potential acting along a single axis. However, this procedure can be numerically demanding, or even undoable, especially for large squeezed scenarios. An alternative is provided by use of the dimension as a parameter that changes continuously within the range . The simplicity of the -calculations is exploited to investigate the evolution of three-body states after progressive confinement. The case of three identical spinless bosons with relative -waves in 3D, and a harmonic oscillator squeezing potential is considered. We compare results from the two methods and provide a translation between them, relating dimension, squeezing length, and wave functions from both methods. All calculations are then possible entirely within the simpler -method, but simultaneously providing the equivalent geometry with the external potential.

    Comments:
    13 pages, to be published in Physical Review Research
    Subjects:
    Quantum Gases (cond-mat.quant-gas); Nuclear Theory (nucl-th); physics.atm-clus (physics.atm-clus); Quantum Physics (quant-ph)
    arXiv:
    2007.15900 [pdf]
    PRResearch(2020)·10 citations
  3. 07

    [Submitted on 31 Jul 2020] (cross-list from hep-th)

    Counting Nambu-Goldstone modes of higher-form global symmetries

    Yoshimasa Hidaka🇯🇵 · Yuji Hirono🇰🇷 · Ryo Yokokura🇯🇵

    We discuss the counting of Nambu-Goldstone (NG) modes associated with the spontaneous breaking of higher-form global symmetries. Effective field theories of NG modes are developed based on symmetry breaking patterns, using a generalized coset construction for higher-form symmetries. We derive a formula of the number of gapless NG modes, which involves expectation values of the commutators of conserved charges, possibly of different degrees.

    Comments:
    7 pages, no figure
    Subjects:
    High Energy Physics — Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2007.15901 [pdf]
    PRL(2021)·37 citations
  4. 08

    [Submitted on 31 Jul 2020] (cross-list from hep-lat)

    Nucleon Gluon Distribution Function from 2+1+1-Flavor Lattice QCD

    Zhouyou Fan🇺🇸 · Rui Zhang🇺🇸 · Huey-Wen Lin🇺🇸

    The parton distribution functions (PDFs) provide process-independent information about the quarks and gluons inside hadrons. Although the gluon PDF can be obtained from a global fit to experimental data, it is not constrained well in the large- region. Theoretical gluon-PDF studies are much fewer than those of the quark PDFs. In this work, we present the first lattice-QCD results that access the -dependence of the gluon unpolarized PDF of the nucleon. The lattice calculation is carried out with nucleon momenta up to 2.16 GeV, lattice spacing fm, with valence pion masses of 310 and 690 MeV. We use reduced Ioffe-time distributions to cancel the renormalization and implement a one-loop perturbative pseudo-PDF matching to the lightcone distribution. Our matrix element results in coordinate space are consistent with those obtained from the global PDF fits of CT18 NNLO and NNPDF3.1 NNLO. Our fitted gluon PDF extrapolated to the physical pion mass gives consistent results in the region.

    Comments:
    12 pages, 9 figures
    Subjects:
    High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2007.16113 [pdf]
    Int.J.Mod.Phys.A(2021)·73 citations
  5. 09

    [Submitted on 31 Jul 2020] (cross-list from hep-lat)

    Alternative derivation of the relativistic three-particle quantization condition

    Tyler D. Blanton🇺🇸 · Stephen R. Sharpe🇺🇸

    We present a simplified derivation of the relativistic three-particle quantization condition for identical, spinless particles described by a generic relativistic field theory satisfying a symmetry. The simplification is afforded by using a three-particle quasilocal K matrix that is not fully symmetrized, , and makes extensive use of time-ordered perturbation theory (TOPT). We obtain a new form of the quantization condition. This new form can then be related algebraically to the standard quantization condition, which depends on a fully symmetric three-particle K matrix, . The new derivation is fully explicit, allowing, for example, a closed-form expression for to be given in terms of TOPT amplitudes. The new form of the quantization condition is similar in structure to that obtained in the "finite-volume unitarity" approach, and in a companion paper we make this connection concrete. Our simplified approach should also allow a more straightforward generalization of the quantization condition to nondegenerate particles, and perhaps also to more than three particles.

    Comments:
    39 pages, 7 appendices, 11 figures; v2--added clarifications, corrected typos; v3--corrected additional typos, results unchanged; matches published version
    Subjects:
    High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2007.16188 [pdf]
    PRD(2020)·78 citations
  6. 10

    [Submitted on 31 Jul 2020] (cross-list from hep-lat)

    Equivalence of relativistic three-particle quantization conditions

    Tyler D. Blanton🇺🇸 · Stephen R. Sharpe🇺🇸

    We show that a recently derived alternative form of the relativistic three-particle quantization condition for identical particles can be rewritten in terms of the R matrix introduced to give a unitary representation of the infinite-volume three-particle scattering amplitude. Combined with earlier work, this shows the equivalence of the relativistic effective field theory approach of Hansen and Sharpe (Refs.[1,2]) and the "finite-volume unitarity" approach of Mai and Döring (Refs.[3,4]). It also provides a generalization of the latter approach to arbitrary angular momenta of two-particle subsystems.

    Comments:
    13 pages, 2 appendices; v2--added clarifications, corrected typos; v3--further clarifications added and typos corrected, results unchanged; matches published version
    Subjects:
    High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    2007.16190 [pdf]
    PRD(2020)·76 citations

Affiliations

first authorsco-authorsvia INSPIRE