Dimensional reduction and screening masses in pure gauge theories at finite temperature

Nuclear Physics B

Volumn 534, Issue 1-2, 1998, Pages 392-416

  Datta, Saumen ^a   Gupta, Sourendu ^a  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

Author keywords

Dimensional reduction; Electric mass; Glueballs; Magnetic mass; Screening masses

Indexed keywords

EID: 0032561640     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00612-9     Document Type: Article

References (65)

1. [1] See for example, E. Laermann, Nucl. Phys. B (Proc. Suppl.), 63A-C (1998) 114, and references therein.
2. [2] B. Grossman, S. Gupta, F. Karsch and U. Heller, Nucl. Phys. B 417 (1994) 289.
3. [3] C. DeTar and J. Kogut, Phys. Rev. Lett. 59 (1987) 399; Phys. Rev. D 36 (1987) 2828; S. Gottlieb et al., Phys. Rev. Lett. 59 (1987) 1881; A. Gocksch, P. Rossi and U.M. Heller, Phys. Lett. B 205 (1988) 334; K. Born et al., Phys. Rev. Lett. 67 (1991) 302; S. Gupta, Phys. Lett. B 288 (1992) 171; C. Bernard et al., Phys. Rev. Lett. 68 (1992) 2125; G. Boyd, S. Gupta and F. Karsch, Nucl. Phys. B 385 (1992) 481; T. Hashimoto, T. Nakamura and I.O. Stamatescu, Nucl. Phys. B 400 (1993) 267.
4. [3] C. DeTar and J. Kogut, Phys. Rev. Lett. 59 (1987) 399; Phys. Rev. D 36 (1987) 2828; S. Gottlieb et al., Phys. Rev. Lett. 59 (1987) 1881; A. Gocksch, P. Rossi and U.M. Heller, Phys. Lett. B 205 (1988) 334; K. Born et al., Phys. Rev. Lett. 67 (1991) 302; S. Gupta, Phys. Lett. B 288 (1992) 171; C. Bernard et al., Phys. Rev. Lett. 68 (1992) 2125; G. Boyd, S. Gupta and F. Karsch, Nucl. Phys. B 385 (1992) 481; T. Hashimoto, T. Nakamura and I.O. Stamatescu, Nucl. Phys. B 400 (1993) 267.
5. [3] C. DeTar and J. Kogut, Phys. Rev. Lett. 59 (1987) 399; Phys. Rev. D 36 (1987) 2828; S. Gottlieb et al., Phys. Rev. Lett. 59 (1987) 1881; A. Gocksch, P. Rossi and U.M. Heller, Phys. Lett. B 205 (1988) 334; K. Born et al., Phys. Rev. Lett. 67 (1991) 302; S. Gupta, Phys. Lett. B 288 (1992) 171; C. Bernard et al., Phys. Rev. Lett. 68 (1992) 2125; G. Boyd, S. Gupta and F. Karsch, Nucl. Phys. B 385 (1992) 481; T. Hashimoto, T. Nakamura and I.O. Stamatescu, Nucl. Phys. B 400 (1993) 267.
6. [3] C. DeTar and J. Kogut, Phys. Rev. Lett. 59 (1987) 399; Phys. Rev. D 36 (1987) 2828; S. Gottlieb et al., Phys. Rev. Lett. 59 (1987) 1881; A. Gocksch, P. Rossi and U.M. Heller, Phys. Lett. B 205 (1988) 334; K. Born et al., Phys. Rev. Lett. 67 (1991) 302; S. Gupta, Phys. Lett. B 288 (1992) 171; C. Bernard et al., Phys. Rev. Lett. 68 (1992) 2125; G. Boyd, S. Gupta and F. Karsch, Nucl. Phys. B 385 (1992) 481; T. Hashimoto, T. Nakamura and I.O. Stamatescu, Nucl. Phys. B 400 (1993) 267.
7. [3] C. DeTar and J. Kogut, Phys. Rev. Lett. 59 (1987) 399; Phys. Rev. D 36 (1987) 2828; S. Gottlieb et al., Phys. Rev. Lett. 59 (1987) 1881; A. Gocksch, P. Rossi and U.M. Heller, Phys. Lett. B 205 (1988) 334; K. Born et al., Phys. Rev. Lett. 67 (1991) 302; S. Gupta, Phys. Lett. B 288 (1992) 171; C. Bernard et al., Phys. Rev. Lett. 68 (1992) 2125; G. Boyd, S. Gupta and F. Karsch, Nucl. Phys. B 385 (1992) 481; T. Hashimoto, T. Nakamura and I.O. Stamatescu, Nucl. Phys. B 400 (1993) 267.
8. [3] C. DeTar and J. Kogut, Phys. Rev. Lett. 59 (1987) 399; Phys. Rev. D 36 (1987) 2828; S. Gottlieb et al., Phys. Rev. Lett. 59 (1987) 1881; A. Gocksch, P. Rossi and U.M. Heller, Phys. Lett. B 205 (1988) 334; K. Born et al., Phys. Rev. Lett. 67 (1991) 302; S. Gupta, Phys. Lett. B 288 (1992) 171; C. Bernard et al., Phys. Rev. Lett. 68 (1992) 2125; G. Boyd, S. Gupta and F. Karsch, Nucl. Phys. B 385 (1992) 481; T. Hashimoto, T. Nakamura and I.O. Stamatescu, Nucl. Phys. B 400 (1993) 267.
9. [3] C. DeTar and J. Kogut, Phys. Rev. Lett. 59 (1987) 399; Phys. Rev. D 36 (1987) 2828; S. Gottlieb et al., Phys. Rev. Lett. 59 (1987) 1881; A. Gocksch, P. Rossi and U.M. Heller, Phys. Lett. B 205 (1988) 334; K. Born et al., Phys. Rev. Lett. 67 (1991) 302; S. Gupta, Phys. Lett. B 288 (1992) 171; C. Bernard et al., Phys. Rev. Lett. 68 (1992) 2125; G. Boyd, S. Gupta and F. Karsch, Nucl. Phys. B 385 (1992) 481; T. Hashimoto, T. Nakamura and I.O. Stamatescu, Nucl. Phys. B 400 (1993) 267.
10. [3] C. DeTar and J. Kogut, Phys. Rev. Lett. 59 (1987) 399; Phys. Rev. D 36 (1987) 2828; S. Gottlieb et al., Phys. Rev. Lett. 59 (1987) 1881; A. Gocksch, P. Rossi and U.M. Heller, Phys. Lett. B 205 (1988) 334; K. Born et al., Phys. Rev. Lett. 67 (1991) 302; S. Gupta, Phys. Lett. B 288 (1992) 171; C. Bernard et al., Phys. Rev. Lett. 68 (1992) 2125; G. Boyd, S. Gupta and F. Karsch, Nucl. Phys. B 385 (1992) 481; T. Hashimoto, T. Nakamura and I.O. Stamatescu, Nucl. Phys. B 400 (1993) 267.
11. [3] C. DeTar and J. Kogut, Phys. Rev. Lett. 59 (1987) 399; Phys. Rev. D 36 (1987) 2828; S. Gottlieb et al., Phys. Rev. Lett. 59 (1987) 1881; A. Gocksch, P. Rossi and U.M. Heller, Phys. Lett. B 205 (1988) 334; K. Born et al., Phys. Rev. Lett. 67 (1991) 302; S. Gupta, Phys. Lett. B 288 (1992) 171; C. Bernard et al., Phys. Rev. Lett. 68 (1992) 2125; G. Boyd, S. Gupta and F. Karsch, Nucl. Phys. B 385 (1992) 481; T. Hashimoto, T. Nakamura and I.O. Stamatescu, Nucl. Phys. B 400 (1993) 267.
12. [4] S. Nadkarni, Phys. Rev. D 33 (1986) 3738; D 34 (1986) 3904.
13. [4] S. Nadkarni, Phys. Rev. D 33 (1986) 3738; D 34 (1986) 3904.
14. [5] A. Irbäck et al., Nucl. Phys. B 363 (1991) 34; T. Reisz, Z. Phys. C 53 (1992) 169; L. Kärkkäinen et al., Phys. Lett. B 282 (1992) 121; L. Kärkkäinen, P. Lacock, B. Petersson and T. Reisz, Nucl. Phys. B 395 (1993) 733.
15. [5] A. Irbäck et al., Nucl. Phys. B 363 (1991) 34; T. Reisz, Z. Phys. C 53 (1992) 169; L. Kärkkäinen et al., Phys. Lett. B 282 (1992) 121; L. Kärkkäinen, P. Lacock, B. Petersson and T. Reisz, Nucl. Phys. B 395 (1993) 733.
16. [5] A. Irbäck et al., Nucl. Phys. B 363 (1991) 34; T. Reisz, Z. Phys. C 53 (1992) 169; L. Kärkkäinen et al., Phys. Lett. B 282 (1992) 121; L. Kärkkäinen, P. Lacock, B. Petersson and T. Reisz, Nucl. Phys. B 395 (1993) 733.
17. [5] A. Irbäck et al., Nucl. Phys. B 363 (1991) 34; T. Reisz, Z. Phys. C 53 (1992) 169; L. Kärkkäinen et al., Phys. Lett. B 282 (1992) 121; L. Kärkkäinen, P. Lacock, B. Petersson and T. Reisz, Nucl. Phys. B 395 (1993) 733.
18. [6] P. LaCock and T. Reisz, Nucl. Phys. B (Proc. Suppl) 30 (1993) 307.
19. [7] P. Arnold and L.G. Yaffe, Phys. Rev. D 52 (1995) 7208.
20. [8] K. Kajantie et al., Phys. Rev. Lett. 79 (1997) 3130.
21. [9] A. Billoire, G. Lazarides and Q. Shafi, Phys. Lett. B 103 (1981) 450; T.A. DeGrand and D. Toussaint, Phys. Rev. D 25 (1982) 526; G. Lazarides and S. Sarantakos, Phys. Rev. D 31 (1985) 389.
22. [9] A. Billoire, G. Lazarides and Q. Shafi, Phys. Lett. B 103 (1981) 450; T.A. DeGrand and D. Toussaint, Phys. Rev. D 25 (1982) 526; G. Lazarides and S. Sarantakos, Phys. Rev. D 31 (1985) 389.
23. [9] A. Billoire, G. Lazarides and Q. Shafi, Phys. Lett. B 103 (1981) 450; T.A. DeGrand and D. Toussaint, Phys. Rev. D 25 (1982) 526; G. Lazarides and S. Sarantakos, Phys. Rev. D 31 (1985) 389.
24. [10] U.M. Heller, F. Karsch and J. Rank, Phys. Rev. D 57 (1998) 1438.
25. [11] A.D. Linde, Phys. Lett. B 96 (1980) 289.
26. [12] E. Braaten, Phys. Rev. Lett. 74 (1995) 2164; E. Braaten and A. Nieto, Phys. Rev. Lett. 74 (1995) 3530.
27. [12] E. Braaten, Phys. Rev. Lett. 74 (1995) 2164; E. Braaten and A. Nieto, Phys. Rev. Lett. 74 (1995) 3530.
28. [13] P. Ginsparg, Nucl. Phys. B 170 (1980) 388; T. Applequist and R.D. Pisarski, Phys. Rev. D 23 (1981) 2305; K. Kajantie, K. Rummukainen and M. Shaposhnikov, Nucl. Phys. B 407 (1993) 356.
29. [13] P. Ginsparg, Nucl. Phys. B 170 (1980) 388; T. Applequist and R.D. Pisarski, Phys. Rev. D 23 (1981) 2305; K. Kajantie, K. Rummukainen and M. Shaposhnikov, Nucl. Phys. B 407 (1993) 356.
30. [13] P. Ginsparg, Nucl. Phys. B 170 (1980) 388; T. Applequist and R.D. Pisarski, Phys. Rev. D 23 (1981) 2305; K. Kajantie, K. Rummukainen and M. Shaposhnikov, Nucl. Phys. B 407 (1993) 356.
31. [14] G. Bali et al., Phys. Rev. Lett. 71 (1993) 3059; L. Kärkkäinen et al., Phys. Lett. B 312 (1993) 173.
32. [14] G. Bali et al., Phys. Rev. Lett. 71 (1993) 3059; L. Kärkkäinen et al., Phys. Lett. B 312 (1993) 173.
33. [15] M. Teper, preprint hep-lat/9804008.
34. [16] B. Berg and A. Billoire, Nucl. Phys. B 221 (1983) 109.
35. [17] M. Hamermesh, Group Theory and its Applications to Physical Problems (Addison-Wesley, Reading, MA, 1962).
36. [18] M. Fukugita, M. Okawa and A. Ukawa, Nucl. Phys. B 337 (1990) 181.
37. [19] Y. Iwasaki et al., Phys. Rev. Lett. 67 (1991) 3343; Phys. Rev. D 46 (1992) 4657.
38. [19] Y. Iwasaki et al., Phys. Rev. Lett. 67 (1991) 3343; Phys. Rev. D 46 (1992) 4657.
39. [20] H. Ding and N. Christ, Phys. Rev. Lett. 60 (1988) 1367; A.D. Kennedy, J. Kuti, S. Meyer and B.J. Pendleton, Phys. Rev. Lett. 54 (1985) 87; S.A. Gottlieb et al., Phys. Rev. Lett. 55 (1985) 1958.
40. [20] H. Ding and N. Christ, Phys. Rev. Lett. 60 (1988) 1367; A.D. Kennedy, J. Kuti, S. Meyer and B.J. Pendleton, Phys. Rev. Lett. 54 (1985) 87; S.A. Gottlieb et al., Phys. Rev. Lett. 55 (1985) 1958.
41. [20] H. Ding and N. Christ, Phys. Rev. Lett. 60 (1988) 1367; A.D. Kennedy, J. Kuti, S. Meyer and B.J. Pendleton, Phys. Rev. Lett. 54 (1985) 87; S.A. Gottlieb et al., Phys. Rev. Lett. 55 (1985) 1958.
42. [21] A.D. Kennedy and B.J. Pendleton, Phys. Lett. B 156 (1985) 393.
43. [22] S. Gottlieb et al., Phys. Rev. D 38 (1988) 2245.
44. [23] F.R. Brown et al., Phys. Rev. Lett. 61 (1988) 2058; P. Bacilieri et al., Phys. Lett. B 220 (1989) 607.
45. [23] F.R. Brown et al., Phys. Rev. Lett. 61 (1988) 2058; P. Bacilieri et al., Phys. Lett. B 220 (1989) 607.
46. [24] S. Gupta et al., Nucl. Phys. B 329 (1990) 263.
47. [25] R.V. Gavai, F. Karsch and B. Petersson, Nucl. Phys. B 322 (1989) 738.
48. [26] H. Chen, J. Sexton, A. Vaccarino and D. Weingarten, Nucl. Phys. (Proc. Suppl.) B 34 (1994) 357.
49. [27] Ph. de Forcrand, G. Schierholz, H. Schneider and M. Teper, Phys. Lett. B 152 (1985) 107.
50. [28] C. Michael and M. Teper, Nucl. Phys. B 314 (1989) 347.
51. [29] J. Engels, J. Fingberg and M. Weber, Nucl. Phys. B 332 (1990) 737.
52. [30] J. Fingberg, U. Heller and F. Karsch, Nucl. Phys. B 392 (1993) 493.
53. [31] M. Creutz, Phys. Rev. D 36 (1987) 515.
54. [32] C. Michael and M. Teper, Phys. Lett. B 199 (1987) 95.
55. [33] J. Engels, F. Karsch and H. Satz, Nucl. Phys. B 315 (1989) 419.
56. [34] C. Michael and S.J. Perantonis, J. Phys. G 18 (1992) 1725.
57. [35] S.P. Booth et al., Nucl. Phys. B 394 (1993) 509.
58. [36] J.C. Neil and J. Zinn-Justin, Nucl. Phys. B 280 (1987) 355; S. Gupta, Phys. Lett. B 325 (1994) 418.
59. [36] J.C. Neil and J. Zinn-Justin, Nucl. Phys. B 280 (1987) 355; S. Gupta, Phys. Lett. B 325 (1994) 418.
60. [37] E. Braaten and A. Nieto, Phys. Rev. Lett. 74 (1995) 3530.
61. [38] M. Teper, Phys. Lett. B 183 (1986) 345.
62. [39] M. Albanese et al., Phys. Lett. B 192 (1987) 163.
63. [40] M. Lüscher and U. Wolff, Nucl. Phys. B 339 (1990) 222.
64. [41] J.H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon Press, Oxford, 1965); H. Rutishauser, Lectures on Numerical Mathematics (Birkhäuser, Boston, 1990).
65. [41] J.H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon Press, Oxford, 1965); H. Rutishauser, Lectures on Numerical Mathematics (Birkhäuser, Boston, 1990).