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Nuclear Theory·nucl-th

Tuesday·October 4, 2022

10 papers—7 primary·3 cross-listed

All10Primary7Cross-lists3
  1. 08

    Mass decomposition of the pion in the 't Hooft model

    Adam Freese🇺🇸 · Gerald A. Miller🇺🇸

    We obtain the energy-momentum tensor (EMT) in the 't Hooft model of two-dimensional quantum chromodynamics. The EMT is decomposed into contributions from quark and gluon fields, with all of the (plus component of) the light front momentum being carried by the quark field. The energy is split between quark and gluon fields, with the gluon field carrying the self-energy of the dressed quarks. We consider the pion in the limit of small but non-zero quark masses -- which has previously withstood numerical treatment -- as as a concrete example. We solve for the pion wave function using a variational method and obtain numerical results for its energy breakdown into quark and gluon contributions.

    ↳ hep-phnucl-thPRD(2023)·4 citations
  2. 09

    Efficient Solutions of Fermionic Systems using Artificial Neural Networks

    Even M. Nordhagen · Jane M. Kim · Bryce Fore · Alessandro Lovato · Morten Hjorth-Jensen

    We discuss differences and similarities between variational Monte Carlo approaches that use conventional and artificial neural network parameterizations of the ground-state wave function for systems of fermions. We focus on a relatively shallow neural-network architectures, the so called restricted Boltzmann machine, and discuss unsupervised learning algorithms that are suitable to model complicated many-body correlations. We analyze the strengths and weaknesses of conventional and neural-network wave functions by solving various circular quantum-dots systems. Results for up to 90 electrons are presented and particular emphasis is placed on how to efficiently implement these methods on homogeneous and heterogeneous high-performance computing facilities.

    ↳ cond-mat.mes-hallnucl-thFront.in Phys.(2023)·8 citations
  3. 10

    Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation

    Huda Alalawi🇺🇸 · Michael Strickland🇺🇸

    We investigate whether early and late time attractors for non-conformal kinetic theories exist by computing the time-evolution of a large set of moments of the one-particle distribution function. For this purpose we make use of a previously obtained exact solution of the 0+1D boost-invariant massive Boltzmann equation in relaxation time approximation. We extend prior attractor studies of non-conformal systems by using a realistic mass- and temperature-dependent relaxation time and explicitly computing the effect of varying both the initial momentum-space anisotropy and initialization time on the time evolution of a large set of integral moments. Our findings are consistent with prior studies, which found that there is an attractor for the scaled longitudinal pressure, but not for the shear and bulk viscous corrections separately. We further present evidence that both late- and early-time attractors exist for all moments of the one-particle distribution function that contain greater than one power of the longitudinal momentum squared.

    ↳ hep-phnucl-thJHEP(2022)·18 citations

Affiliations

first authorsco-authorsvia INSPIRE