Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model

Journal of Physics A: Mathematical and General

Volumn 37, Issue 42, 2004, Pages 9989-10005

  De Brito, L C T ^a   Gomes, M ^a   Perez, Silvana ^a,b   Da Silva, A J ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b FEDERAL UNIVERSITY OF PARÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8444232459     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/42/011     Document Type: Article

References (56)

1. Dunne G V 1999 Aspects of Chern Simons theory Les Houches Summer School in Theoretical Physics: Topological Aspects of Low Dimensional Physics (Les Houches 1968)
2. Coleman S and Hill B 1985 Phys. Lett. B 159 184
3. Jackiw R 2002 Nucl. Phys. Proc. Suppl. 108 30
4. Seiberg N and Witten E 1999 J. High Energy Phys. JHEP09(1999)032
5. Minwalla S, Van Raamsdonk M and Seiberg N 2000 J. High Energy Phys. JHEP08(2000)008
6. Girotti H O, Gomes M, Rivelles V O and da Silva A J 2000 Nucl. Phys. B 587 299 Girotti H O, Gomes M, Petrov A Yu, Rivelles V O and da Silva A J 2001 Phys. Lett. B 521 119
7. Girotti H O, Gomes M, Rivelles V O and da Silva A J 2000 Nucl. Phys. B 587 299 Girotti H O, Gomes M, Petrov A Yu, Rivelles V O and da Silva A J 2001 Phys. Lett. B 521 119
8. Bichl A, Grimstrup J, Putz V and Schweda M 2000 J. High Energy Phys. JHEP07(2000)046 Das A and Sheikh-Jabbari M M 2001 J. High Energy Phys. JHEP06(2001)028 Martin C P 2001 Phys. Lett. B 515 185
9. Bichl A, Grimstrup J, Putz V and Schweda M 2000 J. High Energy Phys. JHEP07(2000)046 Das A and Sheikh-Jabbari M M 2001 J. High Energy Phys. JHEP06(2001)028 Martin C P 2001 Phys. Lett. B 515 185
10. Bichl A, Grimstrup J, Putz V and Schweda M 2000 J. High Energy Phys. JHEP07(2000)046 Das A and Sheikh-Jabbari M M 2001 J. High Energy Phys. JHEP06(2001)028 Martin C P 2001 Phys. Lett. B 515 185
11. Fischler W, Gommis J, Gorbatov E, Kashani-Poor A, Paban S and Pouliot P 2000 J. High Energy Phys. JHEP05(2000)024 Landsteiner K, Lopez E and Tytgat M H G 2000 J. High Energy Phys. JHEP09(2000)027 Arcioni G and Vázquez-Mozo M A 2000 J. High Energy Phys. JHEP01(2000)028 Brandt F T, Das A, Frenkel J, McKeon D G C and Taylor J C 2002 Phys. Rev. D 66 045011 Chandrasekhar B and Panigrahi P K 2003 J. High Energy Phys. JHEP03(2003)015
12. Fischler W, Gommis J, Gorbatov E, Kashani-Poor A, Paban S and Pouliot P 2000 J. High Energy Phys. JHEP05(2000)024 Landsteiner K, Lopez E and Tytgat M H G 2000 J. High Energy Phys. JHEP09(2000)027 Arcioni G and Vázquez-Mozo M A 2000 J. High Energy Phys. JHEP01(2000)028 Brandt F T, Das A, Frenkel J, McKeon D G C and Taylor J C 2002 Phys. Rev. D 66 045011 Chandrasekhar B and Panigrahi P K 2003 J. High Energy Phys. JHEP03(2003)015
13. Fischler W, Gommis J, Gorbatov E, Kashani-Poor A, Paban S and Pouliot P 2000 J. High Energy Phys. JHEP05(2000)024 Landsteiner K, Lopez E and Tytgat M H G 2000 J. High Energy Phys. JHEP09(2000)027 Arcioni G and Vázquez-Mozo M A 2000 J. High Energy Phys. JHEP01(2000)028 Brandt F T, Das A, Frenkel J, McKeon D G C and Taylor J C 2002 Phys. Rev. D 66 045011 Chandrasekhar B and Panigrahi P K 2003 J. High Energy Phys. JHEP03(2003)015
14. Fischler W, Gommis J, Gorbatov E, Kashani-Poor A, Paban S and Pouliot P 2000 J. High Energy Phys. JHEP05(2000)024 Landsteiner K, Lopez E and Tytgat M H G 2000 J. High Energy Phys. JHEP09(2000)027 Arcioni G and Vázquez-Mozo M A 2000 J. High Energy Phys. JHEP01(2000)028 Brandt F T, Das A, Frenkel J, McKeon D G C and Taylor J C 2002 Phys. Rev. D 66 045011 Chandrasekhar B and Panigrahi P K 2003 J. High Energy Phys. JHEP03(2003)015
15. Fischler W, Gommis J, Gorbatov E, Kashani-Poor A, Paban S and Pouliot P 2000 J. High Energy Phys. JHEP05(2000)024 Landsteiner K, Lopez E and Tytgat M H G 2000 J. High Energy Phys. JHEP09(2000)027 Arcioni G and Vázquez-Mozo M A 2000 J. High Energy Phys. JHEP01(2000)028 Brandt F T, Das A, Frenkel J, McKeon D G C and Taylor J C 2002 Phys. Rev. D 66 045011 Chandrasekhar B and Panigrahi P K 2003 J. High Energy Phys. JHEP03(2003)015
16. Kapusta J I 1979 Nucl. Phys. B 148 461 Arnold P, Vokos S, Bedaque P and Das A 1993 Phys. Rev. D 47 4698
17. Kapusta J I 1979 Nucl. Phys. B 148 461 Arnold P, Vokos S, Bedaque P and Das A 1993 Phys. Rev. D 47 4698
18. Deser S, Jackiw R and Templeton S 1982 Ann. Phys., NY 140 372 Deser S, Jackiw R and Templeton S 1988 Ann. Phys., NY 185 406 (erratum) Deser S, Jackiw R and Templeton S 2000 Ann. Phys., NY 281 409 Redlich A 1984 Phys. Rev. D 29 2366 Redlich A 1984 Phys. Rev. Lett. 52 18
19. Deser S, Jackiw R and Templeton S 1982 Ann. Phys., NY 140 372 Deser S, Jackiw R and Templeton S 1988 Ann. Phys., NY 185 406 (erratum) Deser S, Jackiw R and Templeton S 2000 Ann. Phys., NY 281 409 Redlich A 1984 Phys. Rev. D 29 2366 Redlich A 1984 Phys. Rev. Lett. 52 18
20. Deser S, Jackiw R and Templeton S 1982 Ann. Phys., NY 140 372 Deser S, Jackiw R and Templeton S 1988 Ann. Phys., NY 185 406 (erratum) Deser S, Jackiw R and Templeton S 2000 Ann. Phys., NY 281 409 Redlich A 1984 Phys. Rev. D 29 2366 Redlich A 1984 Phys. Rev. Lett. 52 18
21. Deser S, Jackiw R and Templeton S 1982 Ann. Phys., NY 140 372 Deser S, Jackiw R and Templeton S 1988 Ann. Phys., NY 185 406 (erratum) Deser S, Jackiw R and Templeton S 2000 Ann. Phys., NY 281 409 Redlich A 1984 Phys. Rev. D 29 2366 Redlich A 1984 Phys. Rev. Lett. 52 18
22. Deser S, Jackiw R and Templeton S 1982 Ann. Phys., NY 140 372 Deser S, Jackiw R and Templeton S 1988 Ann. Phys., NY 185 406 (erratum) Deser S, Jackiw R and Templeton S 2000 Ann. Phys., NY 281 409 Redlich A 1984 Phys. Rev. D 29 2366 Redlich A 1984 Phys. Rev. Lett. 52 18
23. Pisarski R and Rao S 1985 Phys. Rev. D 32 2081
24. Brandt F, Das A and Frenkel J 2000 Phys. Lett. B 494 339
25. Nair V P and Polychronakos A P 2001 Phys. Rev. Lett. 87 030403 Sheikh-Jabbari M M 2001 Phys. Lett. B 510 247 Bak D, Lee K and Park J H 2001 Phys. Rev. Lett. 87 030402 Chen Guang-Hong and Wu Yong-Shi 2001 Nucl. Phys. B 593 562
26. Nair V P and Polychronakos A P 2001 Phys. Rev. Lett. 87 030403 Sheikh-Jabbari M M 2001 Phys. Lett. B 510 247 Bak D, Lee K and Park J H 2001 Phys. Rev. Lett. 87 030402 Chen Guang-Hong and Wu Yong-Shi 2001 Nucl. Phys. B 593 562
27. Nair V P and Polychronakos A P 2001 Phys. Rev. Lett. 87 030403 Sheikh-Jabbari M M 2001 Phys. Lett. B 510 247 Bak D, Lee K and Park J H 2001 Phys. Rev. Lett. 87 030402 Chen Guang-Hong and Wu Yong-Shi 2001 Nucl. Phys. B 593 562
28. Nair V P and Polychronakos A P 2001 Phys. Rev. Lett. 87 030403 Sheikh-Jabbari M M 2001 Phys. Lett. B 510 247 Bak D, Lee K and Park J H 2001 Phys. Rev. Lett. 87 030402 Chen Guang-Hong and Wu Yong-Shi 2001 Nucl. Phys. B 593 562
29. Khlebinikov S and Shaposhnikov M 1991 Phys. Lett. B 254 148 Khare A, MacKenzie R, Paranjape M and Panigrahi P 1995 Phys. Lett. B 355 236 Khare A, MacKenzie R and Paranjape M 1995 Phys. Lett. B 343 239 Chen L, Dunne G, Haller K and Lim-Lombridas E 1995 Phys. Lett. B 348 468 Kao H 1998 Phys. Rev. D 57 7416
30. Khlebinikov S and Shaposhnikov M 1991 Phys. Lett. B 254 148 Khare A, MacKenzie R, Paranjape M and Panigrahi P 1995 Phys. Lett. B 355 236 Khare A, MacKenzie R and Paranjape M 1995 Phys. Lett. B 343 239 Chen L, Dunne G, Haller K and Lim-Lombridas E 1995 Phys. Lett. B 348 468 Kao H 1998 Phys. Rev. D 57 7416
31. Khlebinikov S and Shaposhnikov M 1991 Phys. Lett. B 254 148 Khare A, MacKenzie R, Paranjape M and Panigrahi P 1995 Phys. Lett. B 355 236 Khare A, MacKenzie R and Paranjape M 1995 Phys. Lett. B 343 239 Chen L, Dunne G, Haller K and Lim-Lombridas E 1995 Phys. Lett. B 348 468 Kao H 1998 Phys. Rev. D 57 7416
32. Khlebinikov S and Shaposhnikov M 1991 Phys. Lett. B 254 148 Khare A, MacKenzie R, Paranjape M and Panigrahi P 1995 Phys. Lett. B 355 236 Khare A, MacKenzie R and Paranjape M 1995 Phys. Lett. B 343 239 Chen L, Dunne G, Haller K and Lim-Lombridas E 1995 Phys. Lett. B 348 468 Kao H 1998 Phys. Rev. D 57 7416
33. Khlebinikov S and Shaposhnikov M 1991 Phys. Lett. B 254 148 Khare A, MacKenzie R, Paranjape M and Panigrahi P 1995 Phys. Lett. B 355 236 Khare A, MacKenzie R and Paranjape M 1995 Phys. Lett. B 343 239 Chen L, Dunne G, Haller K and Lim-Lombridas E 1995 Phys. Lett. B 348 468 Kao H 1998 Phys. Rev. D 57 7416
34. Brandt F T, Frenkel J and McKeon D G C 2002 Phys. Rev. D 65 125029
35. Alves V S, Das A, Dunne G V and Perez S 2002 Phys. Rev. D 65 085011
36. Gronewold H J 1946 Physica 12 405 Weyl H 1949 Z. Phys. 46 1 Moyal J E 1949 Proc. Camb. Phil. Soc. 45 99 Doplicher S, Fredenhagem K and Roberts J E 1995 Commun. Math. Phys. 172 187
37. Gronewold H J 1946 Physica 12 405 Weyl H 1949 Z. Phys. 46 1 Moyal J E 1949 Proc. Camb. Phil. Soc. 45 99 Doplicher S, Fredenhagem K and Roberts J E 1995 Commun. Math. Phys. 172 187
38. Gronewold H J 1946 Physica 12 405 Weyl H 1949 Z. Phys. 46 1 Moyal J E 1949 Proc. Camb. Phil. Soc. 45 99 Doplicher S, Fredenhagem K and Roberts J E 1995 Commun. Math. Phys. 172 187
39. Gronewold H J 1946 Physica 12 405 Weyl H 1949 Z. Phys. 46 1 Moyal J E 1949 Proc. Camb. Phil. Soc. 45 99 Doplicher S, Fredenhagem K and Roberts J E 1995 Commun. Math. Phys. 172 187
40. Douglas M R and Nekrasov N A 2001 Rev. Mod. Phys. 73 977 Szabo R J 2003 Phys. Rep. 378 207 Gomes M 2002 V Proc. XI Jorge Andre Swieca Summer School ed G Alves, O Eboli and V Rivelles (Singapore: World Scientific) Girotti H 2003 Noncommutative quantum field theory Preprint hep-th/0301237
41. Douglas M R and Nekrasov N A 2001 Rev. Mod. Phys. 73 977 Szabo R J 2003 Phys. Rep. 378 207 Gomes M 2002 V Proc. XI Jorge Andre Swieca Summer School ed G Alves, O Eboli and V Rivelles (Singapore: World Scientific) Girotti H 2003 Noncommutative quantum field theory Preprint hep-th/0301237
42. Douglas M R and Nekrasov N A 2001 Rev. Mod. Phys. 73 977 Szabo R J 2003 Phys. Rep. 378 207 Gomes M 2002 V Proc. XI Jorge Andre Swieca Summer School ed G Alves, O Eboli and V Rivelles (Singapore: World Scientific) Girotti H 2003 Noncommutative quantum field theory Preprint hep-th/0301237
43. Douglas M R and Nekrasov N A 2001 Rev. Mod. Phys. 73 977 Szabo R J 2003 Phys. Rep. 378 207 Gomes M 2002 V Proc. XI Jorge Andre Swieca Summer School ed G Alves, O Eboli and V Rivelles (Singapore: World Scientific) Girotti H 2003 Noncommutative quantum field theory Preprint hep-th/0301237
44. Lewin L 1958 Dilogarithms and Associated Functions (London: Macdonald)
45. Kapusta J I 1993 Finite-Temperature Field Theory (Cambridge: Cambridge University Press)
46. Kao H-C, Lee K, Lee C and Lee T 1994 Phys. Lett. B 341 181
47. Dunne G, Lee K and Lu C 1997 Phys. Rev. Lett. 78 3434 Deser S, Griguolo L and Seminara D 1997 Phys. Rev. Lett. 79 1976 Deser S, Griguolo L and Seminara D 1998 Phys. Rev. D 57 7444 Deser S, Griguolo L and Seminara D 1998 Commun. Math. Phys. 197 443 Deser S, Griguolo L and Seminara D 2003 Phys. Rev. D 67 065016 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 1980 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 4296(E) Brandt F T, Das A and Frenkel J 2002 Phys. Rev. D 65 065013 Brandt F T, Das A, Frenkel J, Pereira S and Taylor J C 2001 Phys. Rev. D 64 065018
48. Dunne G, Lee K and Lu C 1997 Phys. Rev. Lett. 78 3434 Deser S, Griguolo L and Seminara D 1997 Phys. Rev. Lett. 79 1976 Deser S, Griguolo L and Seminara D 1998 Phys. Rev. D 57 7444 Deser S, Griguolo L and Seminara D 1998 Commun. Math. Phys. 197 443 Deser S, Griguolo L and Seminara D 2003 Phys. Rev. D 67 065016 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 1980 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 4296(E) Brandt F T, Das A and Frenkel J 2002 Phys. Rev. D 65 065013 Brandt F T, Das A, Frenkel J, Pereira S and Taylor J C 2001 Phys. Rev. D 64 065018
49. Dunne G, Lee K and Lu C 1997 Phys. Rev. Lett. 78 3434 Deser S, Griguolo L and Seminara D 1997 Phys. Rev. Lett. 79 1976 Deser S, Griguolo L and Seminara D 1998 Phys. Rev. D 57 7444 Deser S, Griguolo L and Seminara D 1998 Commun. Math. Phys. 197 443 Deser S, Griguolo L and Seminara D 2003 Phys. Rev. D 67 065016 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 1980 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 4296(E) Brandt F T, Das A and Frenkel J 2002 Phys. Rev. D 65 065013 Brandt F T, Das A, Frenkel J, Pereira S and Taylor J C 2001 Phys. Rev. D 64 065018
50. Dunne G, Lee K and Lu C 1997 Phys. Rev. Lett. 78 3434 Deser S, Griguolo L and Seminara D 1997 Phys. Rev. Lett. 79 1976 Deser S, Griguolo L and Seminara D 1998 Phys. Rev. D 57 7444 Deser S, Griguolo L and Seminara D 1998 Commun. Math. Phys. 197 443 Deser S, Griguolo L and Seminara D 2003 Phys. Rev. D 67 065016 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 1980 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 4296(E) Brandt F T, Das A and Frenkel J 2002 Phys. Rev. D 65 065013 Brandt F T, Das A, Frenkel J, Pereira S and Taylor J C 2001 Phys. Rev. D 64 065018
51. Dunne G, Lee K and Lu C 1997 Phys. Rev. Lett. 78 3434 Deser S, Griguolo L and Seminara D 1997 Phys. Rev. Lett. 79 1976 Deser S, Griguolo L and Seminara D 1998 Phys. Rev. D 57 7444 Deser S, Griguolo L and Seminara D 1998 Commun. Math. Phys. 197 443 Deser S, Griguolo L and Seminara D 2003 Phys. Rev. D 67 065016 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 1980 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 4296(E) Brandt F T, Das A and Frenkel J 2002 Phys. Rev. D 65 065013 Brandt F T, Das A, Frenkel J, Pereira S and Taylor J C 2001 Phys. Rev. D 64 065018
52. Dunne G, Lee K and Lu C 1997 Phys. Rev. Lett. 78 3434 Deser S, Griguolo L and Seminara D 1997 Phys. Rev. Lett. 79 1976 Deser S, Griguolo L and Seminara D 1998 Phys. Rev. D 57 7444 Deser S, Griguolo L and Seminara D 1998 Commun. Math. Phys. 197 443 Deser S, Griguolo L and Seminara D 2003 Phys. Rev. D 67 065016 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 1980 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 4296(E) Brandt F T, Das A and Frenkel J 2002 Phys. Rev. D 65 065013 Brandt F T, Das A, Frenkel J, Pereira S and Taylor J C 2001 Phys. Rev. D 64 065018
53. Dunne G, Lee K and Lu C 1997 Phys. Rev. Lett. 78 3434 Deser S, Griguolo L and Seminara D 1997 Phys. Rev. Lett. 79 1976 Deser S, Griguolo L and Seminara D 1998 Phys. Rev. D 57 7444 Deser S, Griguolo L and Seminara D 1998 Commun. Math. Phys. 197 443 Deser S, Griguolo L and Seminara D 2003 Phys. Rev. D 67 065016 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 1980 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 4296(E) Brandt F T, Das A and Frenkel J 2002 Phys. Rev. D 65 065013 Brandt F T, Das A, Frenkel J, Pereira S and Taylor J C 2001 Phys. Rev. D 64 065018
54. Dunne G, Lee K and Lu C 1997 Phys. Rev. Lett. 78 3434 Deser S, Griguolo L and Seminara D 1997 Phys. Rev. Lett. 79 1976 Deser S, Griguolo L and Seminara D 1998 Phys. Rev. D 57 7444 Deser S, Griguolo L and Seminara D 1998 Commun. Math. Phys. 197 443 Deser S, Griguolo L and Seminara D 2003 Phys. Rev. D 67 065016 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 1980 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 4296(E) Brandt F T, Das A and Frenkel J 2002 Phys. Rev. D 65 065013 Brandt F T, Das A, Frenkel J, Pereira S and Taylor J C 2001 Phys. Rev. D 64 065018
55. Dunne G, Lee K and Lu C 1997 Phys. Rev. Lett. 78 3434 Deser S, Griguolo L and Seminara D 1997 Phys. Rev. Lett. 79 1976 Deser S, Griguolo L and Seminara D 1998 Phys. Rev. D 57 7444 Deser S, Griguolo L and Seminara D 1998 Commun. Math. Phys. 197 443 Deser S, Griguolo L and Seminara D 2003 Phys. Rev. D 67 065016 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 1980 Fosco C D, Rossini G L and Schaposnik F A 1997 Phys. Rev. Lett. 79 4296(E) Brandt F T, Das A and Frenkel J 2002 Phys. Rev. D 65 065013 Brandt F T, Das A, Frenkel J, Pereira S and Taylor J C 2001 Phys. Rev. D 64 065018
56. Gradshteyn I S and Ryzhik M 1980 Tables of Integrals, Series and Products (New York: Academic)