The quenched spectrum with staggered fermions

Gupta, Rajan; Guralnik, Gerald; Kilcup, Gregory W.; Sharpe, Stephen R.

doi:10.2172/5929696

The quenched spectrum with staggered fermions

Technical Report · Mon Oct 01 04:00:00 EDT 1990

DOI:https://doi.org/10.2172/5929696· OSTI ID:5929696

Gupta, Rajan ^[1]; Guralnik, Gerald ^[2]; Kilcup, Gregory W. ^[3]; Sharpe, Stephen R. ^[4]

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Brown Univ., Providence, RI (United States)
The Ohio State Univ., Columbus, OH (United States)
Univ. of California, Santa Barbara, CA (United States); Univ. of Washington, Seattle, WA (United States)

In this paper we present results for the hadron spectrum in the quenched approximation using staggered fermions. Pinning down the quenched spectrum is an important step in the program of using lattice calculations to extract physically useful quantities. If we cannot extract the masses of the lightest few states with small errors, and make reliable extrapolations to zero quark mass, then calculations of more complicated quantities are suspect. Furthermore, we would like to know how well the quenched approximation reproduces the physical spectrum, for this gives us some indication of the trustworthiness of other quenched calculations. We present results for the spectrum of QCD in the quenched approximation using staggered fermions at $$\beta$$ = 5.7, 6.0 and 6.2. We use extended wall sources, which give a better projection onto the ground state, and allow us to study many non-local pion and rho states, as well as the Delta baryon. Staggered flavor symmetry breaking reduces dramatically from $$\beta$$ = 5.7 to 6.2. For $$\beta$$ = 6, the ratio m_N/m_p lies significantly below 1.5 for m_q < m_s. At $$\beta$$ = 6 we study finite volume effects using 16³ $$\times$$ 40 and 24³ $$\times$$ 40 lattices. We reanalyze our old data at $$\beta$$ = 6.2 and resolve the problem of the anomalously light scalar state.

View Technical Report

Research Organization:: Univ. of Washington, Seattle, WA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE; Alfred P. Sloan Foundation; National Science Foundation (NSF); National Aeronautics and Space Administration (NASA)

DOE Contract Number:: AS06-88ER40423; W-7405-ENG-36

OSTI ID:: 5929696

Report Number(s):: DOE/ER/40423--13-P90; DOE/ER/01545--445; NSF-ITP--90-172; LA-UR--90-3050; ON: DE91009613

Country of Publication:: United States

Language:: English

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The quenched spectrum with staggered fermions

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