Further precise determinations of [Formula presented] from lattice QCD

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 56, Issue 5, 1997, Pages 2755-2765

  Davies, C T H ^a   Hornbostel, K ^b   Lepage, G P ^c   McCallum, P ^a   Shigemitsu, J ^d   Sloan, J ^e  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b SOUTHERN METHODIST UNIVERSITY   (United States)

^c Department of Population Medicine and Diagnostic Sciences   (United States)

^d OHIO STATE UNIVERSITY   (United States)

^e UNIVERSITY OF KENTUCKY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001189468     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.56.2755     Document Type: Article

References (44)

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2. C. T. H. Davies, K. Hornbostel, G. P. Lepage, A. Lidsey, J. Shigemitsu, and J. Sloan, Phys. Lett. B 345, 42 (1995). Our formula for (Formula presented) is slightly different from that in our earlier paper because we have shifted the (Formula presented) scale from (Formula presented) to (Formula presented) The latter is the correct scale at infinite volume.
3. An independent analysis of this effect that uses preliminary versions of our data is given in B. Grinstein and I. Z. Rothstein, Phys. Lett. B 385, 265 (1996).
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12. These gauge-field configurations were provided by G. Kilcup and collaborators. There were 105 configurations on (Formula presented) lattices.
13. These gauge-field configurations were provided by J. Kogut and collaborators. There were 149 configurations on (Formula presented) lattices.
14. These gauge-field configurations were provided by the UKQCD collaboration. There were 200 configurations on (Formula presented) lattices for (Formula presented) and 216 configurations on (Formula presented) lattices for (Formula presented)
15. The gauge-field configurations were provided by the HEMCGC Collaboration, K. Bitar et al., in Lattice ’91, Proceedings of the International Symposium, Tsukuba, Japan, edited by M. Fukugita et al. [Nucl. Phys. B (Proc. Suppl.) 26, 259 (1992)]; NPBSE7
16. Phys. Rev. D 46, 2169 (1992);
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18. The gauge-field configurations were provided by the MILC Collaboration, C. Bernard et al., in Lattice ’92, Proceedings of the International Symposium, Amsterdam the Netherlands, edited by J. Smit and P. van Baal [Nucl. Phys. B (Proc. Suppl.) 30, 369 (1996)]; NPBSE7
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20. Phys. Rev. D 45, 3854 (1992). There were 299 configurations at (Formula presented) on (Formula presented) lattices. The staggered quark action was used for the light quarks, and the hybrid molecular dynamics algorithm for the dynamical configurations.
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28. H. Hamber and C. Wu, Phys. Lett. 127B, 119 (1983). Third-order coefficients are from Monte Carlo simulations, W. Dimm, G. Hockney, G. P. Lepage, and P. B. Mackenzie (unpublished).
29. These have a similar uncertainty. See also P. Weisz, Phys. Lett. 100B, 331 (1981);
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39. Another determination based upon an (Formula presented) simulation and a perturbative correction for (Formula presented) is given in S. Aoki, M. Fukugita, S. Hashimoto, N. Ishizuka, H. Mino, M. Okawa, T. Onogi, and A. Ukawa, Phys. Rev. Lett. 74, 22 (1995). Their results agree with ours, within larger errors.
40. For a useful discussion of this procedure, see G. Rodrigo and A. Santamaria, Phys. Lett. B 313, 441 (1993).
41. The (Formula presented)-quark mass is from 8.
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