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, William D Toussaint

Research output: Contribution to journalArticle

36 Citations (Scopus)

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 - Particles, Fields, Gravitation and Cosmology
Volume48
Issue number9
DOIs
StatePublished - 1993

Fingerprint

quantum chromodynamics
quarks
spacing
valence
restoration
mass ratios
symmetry
decay
estimates
simulation

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Finite-size and quark mass effects on the QCD spectrum with two flavors. / Bernard, Claude; Blum, Tom; Degrand, Thomas A.; Detar, Carleton; Gottlieb, Steven; Krasnitz, Alex; Sugar, R. L.; Toussaint, William D.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 48, No. 9, 1993, p. 4419-4434.

Research output: Contribution to journalArticle

Bernard, Claude ; Blum, Tom ; Degrand, Thomas A. ; Detar, Carleton ; Gottlieb, Steven ; Krasnitz, Alex ; Sugar, R. L. ; Toussaint, William D. / Finite-size and quark mass effects on the QCD spectrum with two flavors. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 1993 ; Vol. 48, No. 9. pp. 4419-4434.
@article{489bf29b436b4adb86957c063476be1c,
title = "Finite-size and quark mass effects on the QCD spectrum with two flavors",
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.",
author = "Claude Bernard and Tom Blum and Degrand, {Thomas A.} and Carleton Detar and Steven Gottlieb and Alex Krasnitz and Sugar, {R. L.} and Toussaint, {William D}",
year = "1993",
doi = "10.1103/PhysRevD.48.4419",
language = "English (US)",
volume = "48",
pages = "4419--4434",
journal = "Physical review D: Particles and fields",
issn = "0556-2821",
publisher = "American Institute of Physics",
number = "9",

}

TY - JOUR

T1 - Finite-size and quark mass effects on the QCD spectrum with two flavors

AU - Bernard, Claude

AU - Blum, Tom

AU - Degrand, Thomas A.

AU - Detar, Carleton

AU - Gottlieb, Steven

AU - Krasnitz, Alex

AU - Sugar, R. L.

AU - Toussaint, William D

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000909377&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000909377&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.48.4419

DO - 10.1103/PhysRevD.48.4419

M3 - Article

VL - 48

SP - 4419

EP - 4434

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 9

ER -