### 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 language | English (US) |
---|---|

Pages (from-to) | 4419-4434 |

Number of pages | 16 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 48 |

Issue number | 9 |

DOIs | |

State | Published - 1993 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*48*(9), 4419-4434. https://doi.org/10.1103/PhysRevD.48.4419

**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.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 48, no. 9, pp. 4419-4434. https://doi.org/10.1103/PhysRevD.48.4419

}

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 -