Consistency of blocking transformations in the finite-temperature renormalization group

Nuclear Physics B

Volumn 532, Issue 3, 1998, Pages 753-782

  Liao, Sen Ben ^a,b   Strickland, Michael ^c  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

^b UNIVERSITÉ DE STRASBOURG   (France)

^c OHIO STATE UNIVERSITY   (United States)

Author keywords

Blocking; Group; Renormalization; Thermal

Indexed keywords

EID: 0032500999     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00456-8     Document Type: Article

References (41)

1. [1] S.-B. Liao, J. Polonyi and D. P. Xu, Phys. Rev. D 51 (1995) 748.
2. [2] See, for example, D. Dalvit and F. Mazzitelli, Phys. Rev. D 54 (1996) 6338; M. D'Attanasio and M. Pietroni, Nucl. Phys. B 472 (1996) 711; K. Ogure and J. Sato, hep-ph/9801439; hep-ph/9802418; N. Tetradis and C. Wetterich, Nucl. Phys. B 422 (1994) 541.
3. [2] See, for example, D. Dalvit and F. Mazzitelli, Phys. Rev. D 54 (1996) 6338; M. D'Attanasio and M. Pietroni, Nucl. Phys. B 472 (1996) 711; K. Ogure and J. Sato, hep-ph/9801439; hep-ph/9802418; N. Tetradis and C. Wetterich, Nucl. Phys. B 422 (1994) 541.
4. [2] See, for example, D. Dalvit and F. Mazzitelli, Phys. Rev. D 54 (1996) 6338; M. D'Attanasio and M. Pietroni, Nucl. Phys. B 472 (1996) 711; K. Ogure and J. Sato, hep-ph/9801439; hep-ph/9802418; N. Tetradis and C. Wetterich, Nucl. Phys. B 422 (1994) 541.
5. [2] See, for example, D. Dalvit and F. Mazzitelli, Phys. Rev. D 54 (1996) 6338; M. D'Attanasio and M. Pietroni, Nucl. Phys. B 472 (1996) 711; K. Ogure and J. Sato, hep-ph/9801439; hep-ph/9802418; N. Tetradis and C. Wetterich, Nucl. Phys. B 422 (1994) 541.
6. [2] See, for example, D. Dalvit and F. Mazzitelli, Phys. Rev. D 54 (1996) 6338; M. D'Attanasio and M. Pietroni, Nucl. Phys. B 472 (1996) 711; K. Ogure and J. Sato, hep-ph/9801439; hep-ph/9802418; N. Tetradis and C. Wetterich, Nucl. Phys. B 422 (1994) 541.
7. [3] K. Wilson, Phys. Rev. B 4 (1971) 3174; K. Wilson and J. Kogut, Phys. Rep. 12C (1975) 75.
8. [3] K. Wilson, Phys. Rev. B 4 (1971) 3174; K. Wilson and J. Kogut, Phys. Rep. 12C (1975) 75.
9. [4] S.-B. Liao and M. Strickland, Phys. Rev. D 52 (1995) 3653.
10. [5] S.-B. Liao and M. Strickland, Nucl. Phys. B 497 (1997) 611.
11. [6] S.-B. Liao and J. Polonyi, Ann. Phys. 222 (1993) 122; Phys. Rev. D 51 (1995) 4474.
12. [6] S.-B. Liao and J. Polonyi, Ann. Phys. 222 (1993) 122; Phys. Rev. D 51 (1995) 4474.
13. [7] A. Patkos, P. Petreczky and J. Polonyi, Ann. Phys. 247 (1996) 78.
14. [8] T. Roos, Phys. Rev. D 54 (1996) 2944.
15. [9] J.D. Shafer and J.R. Shepard, Phys. Rev. D 55 (1997) 4990.
16. [10] F.J. Wegner and A. Houghton, Phys. Rev. A 8 (1972) 401.
17. [11] See, for example, J. Polchinski, Nucl. Phys. B 231 (1984) 269; A. Hasenfratz and P. Hasenfratz, Nucl. Phys. B 270 (1986) 687.
18. [11] See, for example, J. Polchinski, Nucl. Phys. B 231 (1984) 269; A. Hasenfratz and P. Hasenfratz, Nucl. Phys. B 270 (1986) 687.
19. [12] P. Ginsparg, Nucl. Phys. B 170 (1980) 388.
20. [13] R. Guida and J. Zinn-Justin, Nucl. Phys. B 489 (1997) 626.
21. [14] T.R. Morris, Int. J. Mod. Phys. A9 (1994) 2411; Phys. Lett. B 334 (1994) 355; B 329 (1994) 241.
22. [14] T.R. Morris, Int. J. Mod. Phys. A9 (1994) 2411; Phys. Lett. B 334 (1994) 355; B 329 (1994) 241.
23. [14] T.R. Morris, Int. J. Mod. Phys. A9 (1994) 2411; Phys. Lett. B 334 (1994) 355; B 329 (1994) 241.
24. [15] See, for example, C.M. Fraser, Z. Phys. C 28 (1985) 101; A. Bonanno and D. Zappala, hep-th/9712038.
25. [15] See, for example, C.M. Fraser, Z. Phys. C 28 (1985) 101; A. Bonanno and D. Zappala, hep-th/9712038.
26. [16] J. Alexandre, V. Branchina and J. Polonyi, hep-th/9709060; hep-th/9712147.
27. [16] J. Alexandre, V. Branchina and J. Polonyi, hep-th/9709060; hep-th/9712147.
28. [17] S.-B. Liao, Phys. Rev. D 53 (1996) 2020; D 56 (1997) 5008.
29. [17] S.-B. Liao, Phys. Rev. D 53 (1996) 2020; D 56 (1997) 5008.
30. [18] See, for example, M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 437 (1995) 163; B 409 (1993) 441; M. Reuter and C. Wetterich, Nucl. Phys. B 417 (1994) 181; J. Comellas and A. Travesset, Nucl. Phys. B 498 (1997) 539.
31. [18] See, for example, M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 437 (1995) 163; B 409 (1993) 441; M. Reuter and C. Wetterich, Nucl. Phys. B 417 (1994) 181; J. Comellas and A. Travesset, Nucl. Phys. B 498 (1997) 539.
32. [18] See, for example, M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 437 (1995) 163; B 409 (1993) 441; M. Reuter and C. Wetterich, Nucl. Phys. B 417 (1994) 181; J. Comellas and A. Travesset, Nucl. Phys. B 498 (1997) 539.
33. [18] See, for example, M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 437 (1995) 163; B 409 (1993) 441; M. Reuter and C. Wetterich, Nucl. Phys. B 417 (1994) 181; J. Comellas and A. Travesset, Nucl. Phys. B 498 (1997) 539.
34. [19] H. Matsumoto, Y. Nakano and H. Umezawa, Phys. Rev. D 29 (1984) 1116.
35. [20] D. O'Connor and C.R. Stephens, Int. J. Mod. Phys. A 9 (1994) 2805.
36. [21] J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1989).
37. [22] J.F. Nicoll, T.S. Chang and H.E. Stanley, Phys. Rev. Lett. 32 (1974) 1446; 33 (1974) 540; Phys. Rev. A 13 (1976) 1251.
38. [22] J.F. Nicoll, T.S. Chang and H.E. Stanley, Phys. Rev. Lett. 32 (1974) 1446; 33 (1974) 540; Phys. Rev. A 13 (1976) 1251.
39. [22] J.F. Nicoll, T.S. Chang and H.E. Stanley, Phys. Rev. Lett. 32 (1974) 1446; 33 (1974) 540; Phys. Rev. A 13 (1976) 1251.
40. [23] H.A. Weldon, J. Math. Phys. 23 (1982) 1852.
41. [24] L. Dolan and R. Jackiw, Phys. Rev. D 9 (1974) 3320.