The universality class of the electroweak theory

Nuclear Physics B

Volumn 532, Issue 1-2, 1998, Pages 283-314

  Rummukainen, K ^a   Tsypin, M ^b   Kajantie, K ^c   Laine, M ^c   Shaposhnikov, M ^c  

^a NORDITA   (Denmark)

^b LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

^c CERN   (Switzerland)

Author keywords

Electroweak phase transition; Finite temperature; Lattice simulations; Universality class

Indexed keywords

EID: 0032476527     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00494-5     Document Type: Article

References (57)

1. [1] K. Kajantie, M. Laine, K. Rummukainen and M. Shaposhnikov, Phys. Rev. Lett. 77 (1996) 2887 [hep-ph/9605288].
2. [2] F. Karsch, T. Neuhaus, A. Patkós and J. Rank, Nucl. Phys. B (Proc. Suppl.) 53 (1997) 623 [hep-lat/9608087].
3. [3] M. Gürtler, E.-M. Ilgenfritz and A. Schiller, Phys. Rev. D 56 (1997) 3888 [hep-lat/9704013]; M. Gürtler, E.-M. Ilgenfritz, A. Schiller and G. Strecha, Nucl. Phys. B (Proc. Suppl.) 63 (1998) 563 [hep-lat/9709020].
4. [3] M. Gürtler, E.-M. Ilgenfritz and A. Schiller, Phys. Rev. D 56 (1997) 3888 [hep-lat/9704013]; M. Gürtler, E.-M. Ilgenfritz, A. Schiller and G. Strecha, Nucl. Phys. B (Proc. Suppl.) 63 (1998) 563 [hep-lat/9709020].
5. [4] W. Buchmüller and O. Philipsen, Nucl. Phys. B 443 (1995) 47 [hep-ph/9411334].
6. [5] The Aleph Collaboration, ALEPH 98-029, 26 March 1998.
7. [6] P. Ginsparg, Nucl. Phys. B 170 (1980) 388; T. Appelquist and R. Pisarski, Phys. Rev. D 23 (1981) 2305.
8. [6] P. Ginsparg, Nucl. Phys. B 170 (1980) 388; T. Appelquist and R. Pisarski, Phys. Rev. D 23 (1981) 2305.
9. [7] K. Kajantie, M. Laine, K. Rummukainen and M. Shaposhnikov, Nucl. Phys. B 458 (1996) 90 [hep-ph/9508379]; Phys. Lett. B 423 (1998) 137 [hep-ph/9710538].
10. [7] K. Kajantie, M. Laine, K. Rummukainen and M. Shaposhnikov, Nucl. Phys. B 458 (1996) 90 [hep-ph/9508379]; Phys. Lett. B 423 (1998) 137 [hep-ph/9710538].
11. [8] K. Jansen, Nucl. Phys. B (Proc. Suppl.) 47 (1996) 196 [hep-lat/9509018].
12. [9] K. Rummukainen, Nucl. Phys. B (Proc. Suppl.) 53 (1997) 30 [hep-lat/9608079].
13. [10] K. Kajantie, M. Laine, K. Rummukainen and M. Shaposhnikov, Nucl. Phys. B 466 (1996) 189 [hep-lat/9510020].
14. [11] K. Kajantie, M. Laine, K. Rummukainen and M. Shaposhnikov, Nucl. Phys. B 493 (1997) 413 [hep-lat/9612006].
15. [12] For a recent quantitative study of the 3d Ising model, see M. Caselle and M. Hasenbusch, J. Phys. A 30 (1997) 4963 [hep-lat/9701007].
16. [13] M. Hasenbusch and K. Pinn, HUB-EP-97/29 [cond-mat/9706003].
17. [14] K. Kanaya and S. Kaya, Phys. Rev. D 51 (1995) 2404 [hep-lat/9409001].
18. [15] D. Toussaint, Phys. Rev. D 55 (1997) 362 [hep-lat/9607084].
19. [16] F. Karsch, T. Neuhaus, A. Patkós and J. Rank, Nucl. Phys. B 474 (1996) 217 [hep-lat/9603004].
20. [17] J.L. Alonso et al, Nucl. Phys. B 405 (1993) 574 [hep-lat/9210014].
21. [18] A.D. Bruce and N.B. Wilding, Phys. Rev. Lett. 68 (1992) 193; N.B. Wilding and A.D. Bruce, J. Phys.: Cond. Mat. 4 (1992) 3087; N.B. Wilding, Phys. Rev. E 52 (1995) 602 [cond-mat/9503145]; N.B. Wilding and M. Müller, J. Chem. Phys. 102 (1995) 2562 [cond-mat/9410077]; N.B. Wilding, J. Phys.: Cond. Mat. 9 (1997) 585 [cond-mat/9610133].
22. [18] A.D. Bruce and N.B. Wilding, Phys. Rev. Lett. 68 (1992) 193; N.B. Wilding and A.D. Bruce, J. Phys.: Cond. Mat. 4 (1992) 3087; N.B. Wilding, Phys. Rev. E 52 (1995) 602 [cond-mat/9503145]; N.B. Wilding and M. Müller, J. Chem. Phys. 102 (1995) 2562 [cond-mat/9410077]; N.B. Wilding, J. Phys.: Cond. Mat. 9 (1997) 585 [cond-mat/9610133].
23. [18] A.D. Bruce and N.B. Wilding, Phys. Rev. Lett. 68 (1992) 193; N.B. Wilding and A.D. Bruce, J. Phys.: Cond. Mat. 4 (1992) 3087; N.B. Wilding, Phys. Rev. E 52 (1995) 602 [cond-mat/9503145]; N.B. Wilding and M. Müller, J. Chem. Phys. 102 (1995) 2562 [cond-mat/9410077]; N.B. Wilding, J. Phys.: Cond. Mat. 9 (1997) 585 [cond-mat/9610133].
24. [18] A.D. Bruce and N.B. Wilding, Phys. Rev. Lett. 68 (1992) 193; N.B. Wilding and A.D. Bruce, J. Phys.: Cond. Mat. 4 (1992) 3087; N.B. Wilding, Phys. Rev. E 52 (1995) 602 [cond-mat/9503145]; N.B. Wilding and M. Müller, J. Chem. Phys. 102 (1995) 2562 [cond-mat/9410077]; N.B. Wilding, J. Phys.: Cond. Mat. 9 (1997) 585 [cond-mat/9610133].
25. [18] A.D. Bruce and N.B. Wilding, Phys. Rev. Lett. 68 (1992) 193; N.B. Wilding and A.D. Bruce, J. Phys.: Cond. Mat. 4 (1992) 3087; N.B. Wilding, Phys. Rev. E 52 (1995) 602 [cond-mat/9503145]; N.B. Wilding and M. Müller, J. Chem. Phys. 102 (1995) 2562 [cond-mat/9410077]; N.B. Wilding, J. Phys.: Cond. Mat. 9 (1997) 585 [cond-mat/9610133].
26. [19] M. Laine, Nucl. Phys. B 481 (1996) 43 [hep-ph/9605283]; J.M. Cline and K. Kainulainen, Nucl. Phys. B 482 (1996) 73 [hep-ph/9605235]; B 510 (1997) 88 [hep-ph/9705201]; M. Losada, Phys. Rev. D 56 (1997) 2893 [hep-ph/9605266]; G.R. Farrar and M. Losada, Phys. Lett. B 406 (1997) 60 [hep-ph/9612346].
27. [19] M. Laine, Nucl. Phys. B 481 (1996) 43 [hep-ph/9605283]; J.M. Cline and K. Kainulainen, Nucl. Phys. B 482 (1996) 73 [hep-ph/9605235]; B 510 (1997) 88 [hep-ph/9705201]; M. Losada, Phys. Rev. D 56 (1997) 2893 [hep-ph/9605266]; G.R. Farrar and M. Losada, Phys. Lett. B 406 (1997) 60 [hep-ph/9612346].
28. [19] M. Laine, Nucl. Phys. B 481 (1996) 43 [hep-ph/9605283]; J.M. Cline and K. Kainulainen, Nucl. Phys. B 482 (1996) 73 [hep-ph/9605235]; B 510 (1997) 88 [hep-ph/9705201]; M. Losada, Phys. Rev. D 56 (1997) 2893 [hep-ph/9605266]; G.R. Farrar and M. Losada, Phys. Lett. B 406 (1997) 60 [hep-ph/9612346].
29. [19] M. Laine, Nucl. Phys. B 481 (1996) 43 [hep-ph/9605283]; J.M. Cline and K. Kainulainen, Nucl. Phys. B 482 (1996) 73 [hep-ph/9605235]; B 510 (1997) 88 [hep-ph/9705201]; M. Losada, Phys. Rev. D 56 (1997) 2893 [hep-ph/9605266]; G.R. Farrar and M. Losada, Phys. Lett. B 406 (1997) 60 [hep-ph/9612346].
30. [19] M. Laine, Nucl. Phys. B 481 (1996) 43 [hep-ph/9605283]; J.M. Cline and K. Kainulainen, Nucl. Phys. B 482 (1996) 73 [hep-ph/9605235]; B 510 (1997) 88 [hep-ph/9705201]; M. Losada, Phys. Rev. D 56 (1997) 2893 [hep-ph/9605266]; G.R. Farrar and M. Losada, Phys. Lett. B 406 (1997) 60 [hep-ph/9612346].
31. [20] K. Farakos, K. Kajantie, K. Rummukainen, and M. Shaposhnikov, Nucl. Phys. B 442 (1995) 317 [hep-lat/9412091]; M. Laine, Nucl. Phys. B 451 (1995) 484 [hep-lat/9504001]; M. Laine and A. Rajantie, Nucl. Phys. B 513 (1998) 471 [hep-lat/9705003].
32. [20] K. Farakos, K. Kajantie, K. Rummukainen, and M. Shaposhnikov, Nucl. Phys. B 442 (1995) 317 [hep-lat/9412091]; M. Laine, Nucl. Phys. B 451 (1995) 484 [hep-lat/9504001]; M. Laine and A. Rajantie, Nucl. Phys. B 513 (1998) 471 [hep-lat/9705003].
33. [20] K. Farakos, K. Kajantie, K. Rummukainen, and M. Shaposhnikov, Nucl. Phys. B 442 (1995) 317 [hep-lat/9412091]; M. Laine, Nucl. Phys. B 451 (1995) 484 [hep-lat/9504001]; M. Laine and A. Rajantie, Nucl. Phys. B 513 (1998) 471 [hep-lat/9705003].
34. [21] G.D. Moore, Nucl. Phys. B 493 (1997) 439 [hep-ph/9610013]; Nucl. Phys. B 523 (1998) 569 [hep-lat/9709053].
35. [21] G.D. Moore, Nucl. Phys. B 493 (1997) 439 [hep-ph/9610013]; Nucl. Phys. B 523 (1998) 569 [hep-lat/9709053].
36. [22] A. Jakovác, K. Kajantie and A. Patkós, Phys. Rev. D 49 (1994) 6810 [hep-ph/9312355]; A. Jakovác and A. Patkós, Phys. Lett. B 334 (1994) 391 [hep-ph/9405424].
37. [22] A. Jakovác, K. Kajantie and A. Patkós, Phys. Rev. D 49 (1994) 6810 [hep-ph/9312355]; A. Jakovác and A. Patkós, Phys. Lett. B 334 (1994) 391 [hep-ph/9405424].
38. [23] F. Karsch, T. Neuhaus and A. Patkós, Nucl. Phys. B 441 (1995) 629 [hep-lat/9406012].
39. [24] J.J. Rehr and N.D. Mermin, Phys. Rev. A 8 (1973) 472.
40. [25] J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 2nd ed. (Oxford Univ. Press, Oxford, 1993).
41. [26] H.G. Ballesteros et al, Phys. Lett. B 387 (1996) 125 [cond-mat/9606203]; P. Butera and M. Comi, Phys. Rev. B 52 (1995) 6185 [hep-lat/9505027]; B 56 (1997) 8212 [hep-lat/9703018].
42. [26] H.G. Ballesteros et al, Phys. Lett. B 387 (1996) 125 [cond-mat/9606203]; P. Butera and M. Comi, Phys. Rev. B 52 (1995) 6185 [hep-lat/9505027]; B 56 (1997) 8212 [hep-lat/9703018].
43. [26] H.G. Ballesteros et al, Phys. Lett. B 387 (1996) 125 [cond-mat/9606203]; P. Butera and M. Comi, Phys. Rev. B 52 (1995) 6185 [hep-lat/9505027]; B 56 (1997) 8212 [hep-lat/9703018].
44. [27] R. Guida and J. Zinn-Justin, SPhT-t97/40 [cond-mat/9803240].
45. [28] M. Hasenbusch, K. Pinn and S. Vinti, HUB-EP-98/26 [cond-mat/9804186].
46. [29] H.W.J. Blöte, E. Luijten and J.R. Heringa, J. Phys. A: Math. Gen. 28 (1995) 6289 [cond-mat/9509016].
47. [30] K. Binder, Z. Phys. B 43 (1981) 119.
48. [31] M.M. Tsypin and H.W.J. Blöte, to appear.
49. [32] F.J. Wegner, Phys. Rev. B 5 (1972) 4529.
50. [33] F.J. Wegner, Phys. Rev. B 6 (1972) 1891.
51. [34] J.F. Nicoll and R.K.P. Zia, Phys. Rev. B 23 (1981) 6157; J.F. Nicoll, Phys. Rev. A 24 (1981) 2203.
52. [34] J.F. Nicoll and R.K.P. Zia, Phys. Rev. B 23 (1981) 6157; J.F. Nicoll, Phys. Rev. A 24 (1981) 2203.
53. [35] F.C. Zhang and R.K.P. Zia, J. Phys. A 15 (1982) 3303.
54. [36] K.E. Newman and E.K. Riedel, Phys. Rev. B 30 (1984) 6615.
55. [37] M.A. Anisimov, A.A. Povodyrev, V.D. Kulikov and J.V. Sengers, Phys. Rev. Lett. 75 (1995) 3146.
56. [38] A. Hart, O. Philipsen, J.D. Stack and M. Teper, Phys. Lett. B 396 (1997) 217 [hep-lat/9612021].
57. [39] K. Kajantie, M. Laine, K. Rummukainen and M, Shaposhnikov, Nucl. Phys. B 503 (1997) 357 [hep-ph/9704416].