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Title: Variational method with staggered fermions

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 91; Journal Issue: 3; Journal ID: ISSN 1550-7998
American Physical Society
Country of Publication:
United States

Citation Formats

DeTar, Carleton, and Lee, Song-Haeng. Variational method with staggered fermions. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.034504.
DeTar, Carleton, & Lee, Song-Haeng. Variational method with staggered fermions. United States. doi:10.1103/PhysRevD.91.034504.
DeTar, Carleton, and Lee, Song-Haeng. 2015. "Variational method with staggered fermions". United States. doi:10.1103/PhysRevD.91.034504.
title = {Variational method with staggered fermions},
author = {DeTar, Carleton and Lee, Song-Haeng},
abstractNote = {},
doi = {10.1103/PhysRevD.91.034504},
journal = {Physical Review D},
number = 3,
volume = 91,
place = {United States},
year = 2015,
month = 2

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.91.034504

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Cited by: 2works
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  • We present first results obtained from a simulation of lattice QCD with staggered fermions by a Monte Carlo algorithm that incorporates the effect of the fermion determinant exactly. The chiral condensate chi-barchi and various Wilson-loop expectation values are measured on a 4/sup 4/ space-time lattice and the results are compared with the same quantities measured on the same-size lattice with the pseudofermion method. A quantitatively good agreement is found.
  • We present an analysis of hadronic spectroscopy for Wilson valence quarks with dynamical staggered fermions at a lattice coupling 6/{ital g}{sup 2}={beta}=5.6 at a sea-quark mass of {ital am}{sub {ital q}}=0.01 and 0.025, and of Wilson valence quarks in the quenched approximation at {beta}=5.85 and 5.95, both on 16{sup 3}{times}32 lattices. We make comparisons with our previous results with dynamical staggered fermions at the same parameter values but on 16{sup 4} lattices doubled in the temporal direction.
  • Complete spectra of the staggered Dirac operator [ital ];sD are determined in quenched four-dimensional SU(2) gauge fields, and also in the presence of dynamical fermions. Periodic as well as antiperiodic boundary conditions are used. An attempt is made to relate the performance of multigrid (MG) and conjugate gradient (CG) algorithms for propagators with the distribution of the eigenvalues of [ital ];sD. The convergence of the CG algorithm is determined only by the condition number [kappa] and by the lattice size. Since [kappa]'s do not vary significantly when quarks become dynamic, CG convergence in unquenched fields can be predicted from quenchedmore » simulations. On the other hand, MG convergence is not affected by [kappa] but depends on the spectrum in a more subtle way.« less
  • An investigation of the lambdaphi/sup 4/ theory coupled via Yukawa couplings to fermions has been initiated on the lattice. Dynamical fermions are taken fully into account, using hybrid-molecular-dynamic algorithms. Different ways of transcribing Yukawa couplings onto the lattice are discussed. It is found that the lattice phase diagram is very sensitive to the manner in which this interaction is regularized. Some results for scalar and fermionic correlation functions are also presented.
  • Staggered fermions are constructed for the transverse lattice regularization scheme. The weak perturbation theory of transverse lattice noncompact QED is developed in the light-cone gauge, and we argue that for fixed lattice spacing this theory is ultraviolet finite, order by order in perturbation theory. However, by calculating the anomalous scaling dimension of the link fields, we find that the interaction Hamiltonian becomes nonrenormalizable for [ital g][sup 2]([ital a])[gt]4[pi], where [ital g]([ital a]) is the bare (lattice) QED coupling constant. We conjecture that this is the critical point of the chiral-symmetry-breaking phase transition in QED. Nonperturbative chiral-symmetry breaking is then studiedmore » in the strong-coupling limit. The discrete remnant of chiral symmetry that remains on the lattice is spontaneously broken, and the ground state to lowest order in the strong-coupling expansion corresponds to the classical ground state of the two-dimensional spin-1/2 Heisenberg antiferromagnet.« less