Leptonic decays of heavy quarks on the lattice

International Journal of Modern Physics A

Volumn 12, Issue 25, 1997, Pages 4477-4538

  Wittig, Hartmut ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

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EID: 0001035591     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X97002449     Document Type: Article

References (256)

1. M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B147, 385 (1979);
2. L. J. Reinders, H. R. Rubinstein and S. Yazaki, Phys. Rep. 127, 1 (1985).
3. K. G. Wilson, Phys. Rev. D10, 2445 (1974).
4. K. G. Wilson, in New Phenomena in Subnuclear Physics, ed. A. Zichichi (Plenum, New York, 1975), p. 69.
5. E. Shuryak, Nucl. Phys. B198, 83 (1982).
6. M. B. Voloshin and M. A. Shifman, Sov. J. Nucl. Phys. 45, 292 (1987);
7. M. B. Voloshin and M. A. Shifman, Sov. J. Nucl. Phys. 47, 511 (1988).
8. N. Isgur and M. B. Wise, Phys. Lett. B232, 113 (1989);
9. N. Isgur and M. B. Wise, Phys. Lett. B237, 527 (1990).
10. E. Eichten and F. Feinberg, Phys. Rev. Lett. 43, 1205 (1979);
11. Phys. Rev. D23, 2724 (1981).
12. W. E. Caswell and G. P. Lepage, Phys. Lett. B167, 437 (1986).
13. E. Eichten, Nucl. Phys. (Proc. Suppl.) B4, 170 (1988).
14. H. D. Politzer and M. Wise, Phys. Lett. B206, 681 (1988);
15. H. D. Politzer and M. Wise, Phys. Lett. B208, 504 (1988).
16. H. Georgi, Phys. Lett. B240, 447 (1990).
17. For reviews on this subject see: M. Neubert, Phys. Rep. 245, 259 (1994);
18. M. Shifman, in QCD and Beyond - Procs Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 95) (Boulder, CO, 1995), hep-ph/9510377;
19. M. Neubert, Int. J. Mod. Phys. A11, 4173 (1996).
20. K. Wilson, Phys. Rev. 179, 1499 (1969).
21. C. T. Sachrajda, Nucl. Phys. (Proc. Suppl.) B30, 20 (1993).
22. C. W. Bernard, Nucl. Phys. (Proc. Suppl.) B34, 47 (1994).
23. R. Sommer, Nucl. Phys. (Proc. Suppl.) B42, 186 (1995).
24. C. Allton, Nucl. Phys. (Proc. Suppl.) B47, 31 (1996).
25. J. M. Flynn, Nucl. Phys. (Proc. Suppl.) B53, 168 (1997).
26. C. Bernard, Weak Matrix Elements on and off the Lattice, lectures given at TASI '89, Boulder, CO, 4-30 June, 1989, NSF-ITP-89-152.
27. C. W. Bernard and A. Soni, Lattice Approach to Electroweak Matrix Elements, BNL-47585, 1992.
28. C. T. Sachrajda, "B physics from lattice QCD," in B Decays, revised 2nd ed., ed. S. Stone (World Scientific, Singapore, 1994), p. 602.
29. A. S. Kronfeld and P. B. Mackenzie, Ann. Rev. Nucl. Part. Sci. 43, 793 (1993).
30. R. Sommer, Phys. Rep. 275, 47 (1996).
31. H. Wittig, Procs. 3rd German-Russian Workshop on Progress in Heavy Quark Physics (Dubna, Russia, 1996), p. 7, hep-ph/9606371.
32. G. Martinelli, Nucl. Instrum. Meth. A384, 241 (1996).
33. J. M. Flynn, Proc. 28th Int. Conference on High Energy Physics (ICHEP 96) (Warsaw, Poland, 1996), p. 335, hep-lat/9611016.
34. M. Creutz, Quarks, Gluons and Lattices (Cambridge University Press, Cambridge, 1983).
35. H. J. Rothe, Lattice Gauge Theories: An Introduction (World Scientific, Singapore, 1992).
36. I. Montvay and G. Münster, Quantum Fields on a Lattice (Cambridge University Press, Cambridge, 1994).
37. J. Kogut and L. Susskind, Phys. Rev. D11, 395 (1975);
38. T. Banks, J. Kogut and L. Susskind, Phys. Rev. D13, 1043 (1976);
39. L. Susskind, Phys. Rev. D16, 3031 (1976).
40. H. S. Sharatchandra, H. J. Thun and P. Weisz, Nucl. Phys. B192, 205 (1981);
41. M. F. L. Golterman and J. Smit, Nucl. Phys. B245, 61 (1984);
42. S. Sharpe, Nucl. Phys. (Proc. Suppl.) B26, 197 (1992).
43. S. Duane, A. D. Kennedy, B. J. Pendleton and D. Roweth, Phys. Lett. B195, 216 (1987).
44. A. M. Horowitz, Nucl. Phys. B280, 510 (1987),
45. Phys. Lett. B268, 247 (1991).
46. M. Lüscher, Nucl. Phys. B418, 637 (1994).
47. H. Hamber and G. Parisi, Phys. Rev. Lett. 47, 1792 (1981);
48. E. Marinari, G. Parisi and C. Rebbi, Phys. Rev. Lett. 47, 1795 (1981).
49. D. Weingarten, Phys. Lett. B109, 57 (1982).
50. A. V. Aho, J. E. Hopcroft and J. D. Ullmann, The Design and Analysis of Computer Algorithms (Addison-Wesley, Reading, 1974);
51. J. Stoer and R. Bulirsch, Introduction to Numerical Analysis (Springer, Berlin, 1980);
52. P. Rossi, C. T. H. Davies and G. P. Lepage, Nucl. Phys. B297, 287 (1988).
53. H. van der Vorst, SIAM J. Sc. Stat. Comp. 13, 631 (1992);
54. A. Frommer et al., Int. J. Mod. Phys. C5, 1073 (1992).
55. A. Billoire, E. Marinari and G. Parisi, Phys. Lett. B162, 160 (1985);
56. R. D. Kenway, in Proc. XXII Int. Conf. on High Energy Physics (Leipzig, 1984), ed. A. Meyer and E. Wieczorek.
57. P. Bacilieri et al., Nucl. Phys. B317, 509 (1989).
58. E. Marinari, Nucl. Phys. (Proc. Suppl.) B9, 209 (1989);
59. F. Butler et al., Nucl. Phys. (Proc. Suppl.) B26, 287 (1992).
60. E. Eichten, G. Hockney and H. B. Thacker, Nucl. Phys. (Proc. Suppl.) B17, 529 (1990).
61. S. Güsken et al., Nucl. Phys. (Proc. Suppl.) B17, 362 (1990);
62. Phys. Lett. B227, 266 (1989).
63. UKQCD Collaboration (C. R. Allton et al.), Phys. Rev. D47, 5128 (1993).
64. R. Sommer, Nucl. Phys. B411, 839 (1994).
65. K. Symanzik, in Mathematical Problems in Theoretical Physics, eds. R. Schrader et al., Lecture Notes in Physics, Vol. 153 (Springer, New York, 1982);
66. Nucl. Phys. B226, 187 (1983),
67. and Nucl. Phys. ibid., p. 205.
68. M. Lüscher and P. Weisz, Commun. Math. Phys. 97, 59 (1985); erratum, Commun. Math. Phys. 98 (1985) 433.
69. B. Sheikholeslami and R. Wohlert, Nucl. Phys. B259, 572 (1985).
70. G. Heatlie, C. T. Sachrajda, G. Martinelli, C. Pittori and G. C. Rossi, Nucl. Phys. B352, 266 (1991).
71. M. Lüscher, S. Sint, R. Sommer and P. Weisz, Nucl. Phys. B478, 365 (1996).
72. M. Lüscher and P. Weisz, Nucl. Phys. B479, 429 (1996).
73. M. Lüscher, S. Sint, R. Sommer, P. Weisz and U. Wolff, Nucl. Phys. B491, 323 (1997).
74. M. Lüscher, S. Sint, R. Sommer and H. Wittig, Nucl. Phys. B491, 344 (1997).
75. G. P. Lepage, Nucl. Phys. (Proc. Suppl.) B26, 45 (1992).
76. A. S. Kronfeld, Nucl. Phys. (Proc. Suppl.) B30, 445 (1993).
77. P. B. Mackenzie, Nucl. Phys. (Proc. Suppl.) B30, 35 (1993).
78. G. P. Lepage and P. B. Mackenzie, Nucl. Phys. (Proc. Suppl.) B20, 173 (1992);
79. Phys. Rev. D48, 2250 (1992).
80. A. X. El-Khadra, A. S. Kronfeld and P. B. Mackenzie, Phys. Rev. D55, 3933 (1997).
81. Ph. Boucaud, C. L. Lin and O. Pène, Phys. Rev. D40, 1529 (1989).
82. E. Eichten and B. R. Hill, Phys. Lett. B234, 511 (1990).
83. E. Eichten and B. R. Hill, Phys. Lett. B240, 193 (1990).
84. A. Borrelli and C. Pittori, Nucl. Phys. B385, 502 (1992).
85. O. F. Hernández and B. R. Hill, Phys. Lett. B289, 417 (1992).
86. J. M. Flynn, O. F. Hernández and B. R. Hill, Phys. Rev. D43, 3709 (1991).
87. V. Giménez, Nucl. Phys. B375, 582 (1992).
88. V. Giménez, Nucl. Phys. B401, 116 (1993).
89. M. Ciuchini, E. Franco and V. Giménez, Phys. Lett. B388, 167 (1996).
90. G. Buchalla, Phys. Lett. B395, 364 (1997).
91. L. Maiani, G. Martinelli and C. T. Sachrajda, Nucl. Phys. B368, 281 (1992);
92. G. Martinelli and C. T. Sachrajda, Phys. Lett. B354, 423 (1995).
93. B. A. Thacker and G. P. Lepage, Phys. Rev. D43, 196 (1991);
94. G. P. Lepage, L. Magnea, C. Nakhleh, U. Magnea and K. Hornbostel, Phys. Rev. D46, 4052 (1992).
95. M. Bochicchio, L. Maiani, G. Martinelli, G. Rossi and M. Testa, Nucl. Phys. B262, 331 (1985).
96. L. Maiani and G. Martinelli, Phys. Lett. B178, 265 (1986).
97. B. Meyer and C. Smith, Phys. Lett. B123, 62 (1983).
98. G. Martinelli and Y. Zhang, Phys. Lett. B123, 433 (1983);
99. G. Martinelli and Y. Zhang, Phys. Lett. B125, 77 (1983).
100. R. Groot, J. Hoek and J. Smit, Nucl. Phys. B237, 111 (1984).
101. E. Gabrielli, G. Martinelli, C. Pittori, G. Heatlie and C. T. Sachrajda, Nucl. Phys. B362, 475 (1991).
102. A. Borelli, C. Pittori, R. Frezzotti and E. Gabrielli, Nucl. Phys. B409, 382 (1993).
103. G. Parisi, in Proc. XX Int. Conf. on High Energy Physics (Madison, Wisconsin, 1980), ed. L. Durand and L. G. Pondrom (American Institute of Physics, New York, 1981).
104. G. Martinelli, C. Pittori, C. T. Sachrajda and A. Vladikas, Phys. Lett. B331, 241 (1993); erratum, Phys. Lett. B317, 660 (1993).
105. M. L. Paciello, S. Petrarca, B. Taglienti and A. Vladikas, Phys. Lett. B341, 187 (1994).
106. UKQCD Collaboration (D. S. Henty et al.), Phys. Rev. D51, 5323 (1995).
107. G. Martinelli, C. Pittori, C. T. Sachrajda, M. Testa and A. Vladikas, Nucl. Phys. (Proc. Suppl.) B42, 428 (1995);
108. Nucl. Phys. B445, 81 (1995).
109. M. Göckeler et al., Nucl. Phys. (Proc. Suppl.) B47, 493 (1996).
110. A. Donini et al., Nucl. Phys. (Proc. Suppl.) B47, 489 (1996).
111. A. Donini et al., Phys. Lett. B360, 83 (1995).
112. M. Alford, W. Dimm, G. P. Lepage, G. Hockney and P. B. Mackenzie, Nucl. Phys. (Proc. Suppl.) B42, 787 (1995);
113. Phys. Lett. B361, 87 (1995).
114. M. Alford, T. Klassen and G. P. Lepage, Nucl. Phys. (Proc. Suppl.) B47, 409 (1996);
115. Nucl. Phys. B496, 377 (1997).
116. P. Hasenfratz and F. Niedermayer, Nucl. Phys. B414, 785 (1994);
117. F. Falcioni, P. Hasenfratz, F. Niedermayer and A. Papa, Nucl. Phys. B454, 638 (1995).
118. T. DeGrand, A. Hasenfratz, P. Hasenfratz and F. Niedermayer, Nucl. Phys. B454, 587 (1995);
119. T. De Nucl. Phys. ibid. p. 615;
120. Phys. Lett. B365, 233 (1996);
121. M. Blatter and F. Niedermayer, Nucl. Phys. B482, 286 (1996).
122. W. Bietenholz and U. J. Wiese, Nucl. Phys. (Proc. Suppl.) B34, 516 (1994);
123. Nucl. Phys. B464, 319 (1996);
124. W. Bietenholz, E. Focht and U. J. Wiese, Nucl. Phys. B436, 385 (1995).
125. M. Lüscher, Commun. Math. Phys. 104, 177 (1986).
126. M. Fukugita et al., Phys. Lett. B294, 380 (1992).
127. S. Aoki et al., Nucl. Phys. (Proc. Suppl.) B34, 363 (1994).
128. Ph. Boucaud, O. Pène, V. J. Hill, C. T. Sachrajda and G. Martinelli, Phys. Lett. B220, 219 (1989).
129. M. Neubert, Phys. Rev. D46, 1076 (1992).
130. X. Ji and M. J. Musolf, Phys. Lett. B257, 409 (1991).
131. D. J. Broadhurst and A. G. Grozin, Phys. Lett. B274, 421 (1992).
132. C. Alexandrou et al., Nucl. Phys. B414, 815 (1994).
133. C. W. Bernard, J. N. Labrenz and A. Soni, Phys. Rev. D49, 2536 (1994).
134. UKQCD Collaboration (A. K. Ewing et al.), Phys. Rev. D54, 3526 (1996).
135. UKQCD Collaboration (R. M. Baxter et al.), Phys. Rev. D49, 1594 (1994).
136. C. Alexandrou et al., Z. Phys. C62, 659 (1994).
137. T. Draper and C. McNeile, Nucl. Phys. (Proc. Suppl.) B47, 429 (1996).
138. A. Ali Khan et al., Nucl. Phys. (Proc. Suppl.) B47, 425 (1996).
139. S. Collins et al., Nucl. Phys. (Proc. Suppl.) B47, 451 (1996).
140. S. Collins et al., Phys. Rev. D55, 1630 (1997).
141. A. Ali Khan and T. Bhattacharya, Nucl. Phys. (Proc. Suppl.) B53, 368 (1997).
142. A. Ali Khan et al., "Heavy-light mesons with quenched lattice NRQCD: results on decay constants," OHSTPY-HEP-T-97-006, hep-lat/9704008.
143. A. Abada et al., Nucl. Phys. B376, 172 (1992).
144. MILC Collaboration (C. Bernard et al.), presented at LAFEX Int. School on High Energy Physics, Rio de Janeiro, Brazil, 20-22 Feb. 1995, hep-ph/9503336.
145. MILC Collaboration (C. Bernard et al.), Nucl. Phys. (Proc. Suppl.) B42, 388 (1995);
146. MILC Collaboration (C. Bernard et al.), Nucl. Phys. (Proc. Suppl.) B47, 459 (1996).
147. MILC Collaboration (C. Bernard et al.), Nucl. Phys. (Proc. Suppl.) B53, 358 (1997).
148. MILC Collaboration, private communication by C. Bernard.
149. JLQCD Collaboration (S. Aoki et al.), Nucl. Phys. (Proc. Suppl.) B47, 433 (1996).
150. JLQCD Collaboration (S. Aoki et al.), Nucl. Phys. (Proc. Suppl.) B53, 355 (1997).
151. T. Bhattacharya and R. Gupta, Phys. Rev. D54, 1155 (1996).
152. R. Gupta and T. Bhattacharya, Nucl. Phys. (Proc. Suppl.) B473, 473 (1996).
153. C. Alexandrou et al., Phys. Lett. B256, 60 (1991).
154. APE Collaboration (C. R. Allton et al.), Nucl. Phys. (Proc. Suppl.) B34, 456 (1994),
155. and private communication by C. R. Allton, 1996.
156. C. R. Allton et al., Phys. Lett. B405, 133 (1997).
157. K. M. Bitar et al., Phys. Rev. D48, 370 (1993).
158. K. M. Bitar et al., Phys. Rev. D49, 3546 (1994).
159. C. Alexandrou et al., Nucl. Phys. B374, 263 (1992).
160. M. B. Gavela et al., Phys. Lett. B206, 113 (1988).
161. T. A. DeGrand and R. D. Loft, Phys. Rev. D38, 954 (1988).
162. C. Bernard, T. Draper, G. Hockney and A. Soni, Phys. Rev. D38, 3540 (1988).
163. APE Collaboration (C. R. Allton et al.), Nucl. Phys. (Proc. Suppl.) B42, 385 (1995).
164. A. Duncan et al., Phys. Rev. D51, 5101 (1995).
165. APE Collaboration (C. R. Allton et al.), Phys. Lett. B326, 295 (1994).
166. T. Draper and C. McNeile, Nucl. Phys. (Proc. Suppl.) B34, 453 (1994).
167. T. Draper, C. McNeile and C. Nenkov, Nucl. Phys. (Proc. Suppl.) B42, 325 (1995).
168. S. Hashimoto, Phys. Rev. D50, 4639 (1994).
169. APE Collaboration (C. R. Allton et al.), Nucl. Phys. B413, 461 (1994).
170. S. Hashimoto and Y. Saeki, Mod. Phys. Lett. A7, 387 (1992).
171. C. Allton et al., Nucl. Phys. B349, 598 (1991).
172. G. M. de Divitiis, R. Frezzotti, M. Masetti and R. Petronzio, Phys. Lett. B382, 393 (1996),
173. and G. M. de Divitiis, R. Frezzotti, M. Masetti and R. Petronzio, Phys. Lett. ibid., p. 398.
174. MILC Collaboration (C. Bernard et al.), Nucl. Phys. (Proc. Suppl.) B53, 374 (1997).
175. B. Berg and A. Billoire, Nucl. Phys. B221, 109 (1983);
176. G. C. Fox, R. Gupta, O. Martin and S. Otto, Nucl. Phys. B205, 188 (1982);
177. M. Lüscher and U. Wolff, Nucl. Phys. B339, 222 (1990);
178. A. S. Kronfeld, Nucl. Phys. (Proc. Suppl.) 17, 313 (1990).
179. C. Allton, Nucl. Phys. B437, 641 (1995).
180. M. Neubert, Phys. Rev. D45, 2451 (1992).
181. V. Eletskii and E. Shuryak, Phys. Lett. B276, 191 (1992).
182. E. Bagan, P. Ball, V. M. Braun and H. G. Dosch, Phys. Lett. B278, 457 (1992).
183. C. A. Dominguez, talk presented at III Workshop on Tau-Charm Factory, Marbella, Spain, June 1993, hep-ph/9309160.
184. S. Narison, Z. Phys. C55, 671 (1992).
185. S. Narison, Phys. Lett. B308, 365 (1993).
186. S. Narison, Phys. Lett. B322, 247 (1994).
187. S. Narison, Phys. Lett. B352, 122 (1995).
188. P. Ball, Phys. Lett. B421, 593 (1994).
189. Particle Data Group (R. M. Barnett et al.), Phys. Rev. D54, 1 (1996).
190. J. D. Richman, Proc. 28th Int. Conf. on High Energy Physics (ICHEP 96) (Warsaw, Poland, 1996), p. 143.
191. E653 Collaboration (K. Kodama et al.), Phys. Lett. B382, 299 (1996).
192. WA75 Collaboration (S. Aoki et al.), Prog. Theor. Phys. 89, 131 (1993).
193. CLEO Collaboration (D. Gibaut et al.), preprint CLEO-CONF 95-22, submitted to the European Physical Society Conference, Brussels, Belgium (1995), eps-0184.
194. BES Collaboration (J. Z. Bai et al.), Phys. Rev. Lett. 74, 4599 (1995).
195. L3 Collaboration (M. Acciarri et al.), Phys. Lett. B401, 139 (1997).
196. S. Capstick and S. Godfrey, Phys. Rev. D41, 2856 (1990).
197. R. J. Oakes, Phys. Rev. Lett. 73, 381 (1994).
198. D. S. Hwang and G.-H. Kim, Phys. Rev. D53, 3659 (1996).
199. D. S. Hwang and G.-H. Kim, Phys. Lett. B367, 353 (1996).
200. C. G. Boyd, B. Grinstein and R. F. Lebed, Phys. Rev. Lett. 74, 4603 (1995).
201. A. Buras, M. Jamin and P. H. Weisz, Nucl. Phys. B347, 491 (1990).
202. V. Giménez and G. Martinelli, Phys. Lett. B398, 135 (1997).
203. J. Christensen, T. Draper and C. McNeile, UK-96-11, hep-lat/9610026.
204. A. Soni, Nucl. Phys. (Proc. Suppl.) B47, 43 (1996).
205. C. Bernard, T. Blum and A. Soni, Nucl. Phys. (Proc. Suppl.) B53, 382 (1997).
206. S. Narison and A. A. Pivovarov, Phys. Lett. B327, 341 (1994).
207. A. Pich, Phys. Lett. B206, 322 (1988).
208. L. Wolfenstein, Phys. Rev. Lett. 51, 1945 (1983).
209. A. J. Buras, M. E. Lautenbacher and G. Ostermaier, Phys. Rev. D50, 3433 (1994).
210. L. Gibbons, Proc. 28th Int. Conf. on High Energy Physics (ICHEP 96) (Warsaw, Poland, 1996), p. 183, hep-ex/9704017.
211. R. Tipton, Proc. 28th Int. Conf. on High Energy Physics, (ICHEP 96) (Warsaw, Poland, 1996), p. 123.
212. C. Zeitnitz, invited talk presented at BEAUTY 96, 17-21 June 1996, Rome, Italy.
213. ALEPH Collaboration, Proc. 28th Int. Conf. on High Energy Physics (ICHEP 96) (Warsaw, Poland, 1996), PA08-020.
214. A. Czarnecki, Phys. Rev. Lett. 76, 4124 (1996).
215. A. Ali and D. London, Z. Phys. C65, 431 (1995).
216. A. Ali and D. London, Nucl. Phys. (Proc. Suppl.) B54A, 297 (1997).
217. T. Inami and C. S. Lim, Progr. Theor. Phys. 65, 297 (1981);
218. T. Inami and C. S. Lim, Progr. Theor. Phys. ibid. p. 1772.
219. A. J. Buras, Phys. Rev. Lett. 46, 1354 (1981).
220. S. Herrlich and U. Nierste, Phys. Rev. D52, 6505 (1995).
221. S. Herrlich and U. Nierste, Nucl. Phys. B476, 27 (1996).
222. S. Herrlich, Proc. 28th Int. Conf. on High Energy Physics (Warsaw, Poland, 1996), p. 1123.
223. W. A. Bardeen, A. J. Buras and J.-M. Gérard, Phys. Lett. B211, 343 (1988).
224. J.-M. Gérard, Acta Phys. Pol. B21, 257 (1990).
225. J. Bijnens and J. Prades, Nucl. Phys. B444, 523 (1995).
226. S. Sharpe, Nucl. Phys. (Proc. Suppl.) B34, 403 (1994).
227. M. Crafulli et al., Phys. Lett. B369, 325 (1996).
228. JLQCD Collaboration (S. Aoki et al.), Nucl. Phys. (Proc. Suppl.) B47, 465 (1996).
229. N. Ishizuka et ed., Phys. Rev. Lett. 71, 24 (1993).
230. S. Sharpe, Nucl. Phys. (Proc. Suppl.) B53, 181 (1997).
231. JLQCD Collaboration, Nucl. Phys. (Proc. Suppl.) B53, 341 (1997).
232. JLQCD Collaboration, Nucl. Phys. (Proc. Suppl.) B53, 349 (1997).
233. A. Donini et al., Nucl. Phys. (Proc. Suppl.) B53, 883 (1997).
234. G. Kilcup, D. Pekurovsky and L. Venkataraman, Nucl. Phys. (Proc. Suppl.) B53, 345 (1997).
235. A. J. Buras, Nucl. Instrum. Meth. A368, 1 (1995).
236. UKQCD Collaboration (S. P. Booth et al.), Phys. Lett. B294, 385 (1992).
237. G. S. Bali and K. Schilling, Phys. Rev. D47, 661 (1993).
238. M. Lüscher, R. Sommer, P. Weisz and U. Wolff, Nucl. Phys. B413, 481 (1994).
239. UKQCD Collaboration (H. Wittig), Nucl. Phys. (Proc. Suppl.) B42, 288 (1995), hep-lat/9411075; private notes, 1996.
240. UKQCD Collaboration (C. R. Allton et al.), Nucl. Phys. B407, 331 (1993).
241. C. Michael and S. J. Perantonis, Nucl. Phys. B347, 854 (1990).
242. K. D. Born et al., Nucl. Phys. (Proc. Suppl.) B20, 394 (1991).
243. SESAM Collaboration (U. Glässner et al.), Phys. Lett. B383, 98 (1996).
244. A. X. El-Khadra, G. Hockney, A. S. Kronfeld and P. B. Mackenzie, Phys. Rev. Lett. 69, 729 (1992).
245. JLQCD Collaboration (S. Aoki et al.), Nucl. Phys. (Proc. Suppl.) B47, 354 (1996).
246. F. Butler, H. Chen, J. Sexton, A. Vaccarino and D. Weingarten, Nucl. Phys. B421, 217 (1994).
247. F. Butler, H. Chen, J. Sexton, A. Vaccarino and D. Weingarten, Nucl. Phys. B430, 179 (1994).
248. S. Cabasino et al., Phys. Lett. B258, 195 (1991).
249. T. Bhattacharya, R. Gupta, G. Kilcup and S. Sharpe, Phys. Rev. D53, 6486 (1996).
250. QCDPAX Collaboration (Y. Iwasaki et al.), Phys. Rev. D53, 6443 (1996).
251. M. Göckeler et al., Phys. Lett. B391, 388 (1997).
252. C. R. Allton, V. Giménez, L. Giusti and F. Rapuano, Nucl. Phys. B489, 427 (1997).
253. UKQCD Collaboration (C. R. Allton et al.), Phys. Rev. D49, 474 (1994).
254. UKQCD Collaboration (C. Michael and H. P. Shanahan), Nucl. Phys. (Proc. Suppl.) B47, 337 (1996).
255. UKQCD Collaboration (H. P. Shanahan et al.), Phys. Rev. D55, 1548 (1997).
256. UKQCD Collaboration (R. D. Kenway), presented at Lattice QCD on Parallel Computers, March 1997, Tsukuba, Japan; UKQCD Collaboration, in preparation.