Finite-size and quark mass effects on the QCD spectrum with two flavors

Claude Bernard, Tom Blum, Thomas A. Degrand, Carleton Detar, Steven Gottlieb, Alex Krasnitz, R. L. Sugar, D. Toussaint

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Abstract

We have carried out spectrum calculations with two flavors of dynamical Kogut-Susskind quarks on four lattice sizes from 83×24 to 163×24 at couplings that correspond to chiral symmetry restoration for a lattice with six time slices. We estimate that the linear spatial sizes of the lattices range from 1.8 to 3.6 fm. We find significant finite-size effects for all particles between the smallest and largest volume with the larger quark mass that we study, amq=0.025, where a is the lattice spacing. The nucelon experiences the largest effect of about 6%. We also study a lighter quark mass, amq=0.0125, on the two largest lattices. Effects of the dynamical and valence quark masses on the hadron spectrum are studied both directly, by comparing the two simulations, and by extracting mass derivatives from the correlation functions. We do not find much improvement in the nucleon to ρ mass ratio as we decrease the quark mass at this lattice spacing. Finally, we report on an unsuccessful attempt to see effects of the ρ→2π decay on the ρ mass, and on studies of Wilson and Kogut-Susskind hadron masses with large valence quark masses.

Original languageEnglish (US)
Pages (from-to)4419-4434
Number of pages16
JournalPhysical Review D
Volume48
Issue number9
DOIs
StatePublished - Jan 1 1993

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Bernard, C., Blum, T., Degrand, T. A., Detar, C., Gottlieb, S., Krasnitz, A., Sugar, R. L., & Toussaint, D. (1993). Finite-size and quark mass effects on the QCD spectrum with two flavors. Physical Review D, 48(9), 4419-4434. https://doi.org/10.1103/PhysRevD.48.4419