Finite density effect in the Gross-Neveu model on weakly curved surfaces

Journal of Physics A: Mathematical and General

Volumn 31, Issue 25, 1998, Pages 5565-5575

  Kim, Dae Kwan ^a   Klimenko, K G ^b  

^a Electronics and Telecommunications Research Institute (ETRI)   (South Korea)

^b INSTITUTE FOR HIGH ENERGY PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032568759     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/25/007     Document Type: Article

References (59)

1. Gross D J and Neveu A 1974 Phys. Rev. D 10 3235
2. Rosenstein B, Warr B J and Park S H 1991 Phys. Rep. 205 59
3. Semenoff G and Wijewardhana L 1989 Phys. Rev. Lett. 63 2633 Semenoff G and Weiss N 1990 Phys. Lett. B 250 117 Dorey N and Mavromatos N 1990 Phys. Lett. B 250 107 Kovner A and Rosenstein B 1990 Phys. Rev. B 42 4748 Carena M, Clark T E and Wagner C E M 1991 Nucl. Phys. B 356 117 Mackenzie R, Panigrahi P K and Sakhi S 1994 Int. J. Mod. Phys. A 9 3603 Gusynin V P, Loktev V M and Shovkovy I A 1995 ZhETF 107 2007
4. Semenoff G and Wijewardhana L 1989 Phys. Rev. Lett. 63 2633 Semenoff G and Weiss N 1990 Phys. Lett. B 250 117 Dorey N and Mavromatos N 1990 Phys. Lett. B 250 107 Kovner A and Rosenstein B 1990 Phys. Rev. B 42 4748 Carena M, Clark T E and Wagner C E M 1991 Nucl. Phys. B 356 117 Mackenzie R, Panigrahi P K and Sakhi S 1994 Int. J. Mod. Phys. A 9 3603 Gusynin V P, Loktev V M and Shovkovy I A 1995 ZhETF 107 2007
5. Semenoff G and Wijewardhana L 1989 Phys. Rev. Lett. 63 2633 Semenoff G and Weiss N 1990 Phys. Lett. B 250 117 Dorey N and Mavromatos N 1990 Phys. Lett. B 250 107 Kovner A and Rosenstein B 1990 Phys. Rev. B 42 4748 Carena M, Clark T E and Wagner C E M 1991 Nucl. Phys. B 356 117 Mackenzie R, Panigrahi P K and Sakhi S 1994 Int. J. Mod. Phys. A 9 3603 Gusynin V P, Loktev V M and Shovkovy I A 1995 ZhETF 107 2007
6. Semenoff G and Wijewardhana L 1989 Phys. Rev. Lett. 63 2633 Semenoff G and Weiss N 1990 Phys. Lett. B 250 117 Dorey N and Mavromatos N 1990 Phys. Lett. B 250 107 Kovner A and Rosenstein B 1990 Phys. Rev. B 42 4748 Carena M, Clark T E and Wagner C E M 1991 Nucl. Phys. B 356 117 Mackenzie R, Panigrahi P K and Sakhi S 1994 Int. J. Mod. Phys. A 9 3603 Gusynin V P, Loktev V M and Shovkovy I A 1995 ZhETF 107 2007
7. Semenoff G and Wijewardhana L 1989 Phys. Rev. Lett. 63 2633 Semenoff G and Weiss N 1990 Phys. Lett. B 250 117 Dorey N and Mavromatos N 1990 Phys. Lett. B 250 107 Kovner A and Rosenstein B 1990 Phys. Rev. B 42 4748 Carena M, Clark T E and Wagner C E M 1991 Nucl. Phys. B 356 117 Mackenzie R, Panigrahi P K and Sakhi S 1994 Int. J. Mod. Phys. A 9 3603 Gusynin V P, Loktev V M and Shovkovy I A 1995 ZhETF 107 2007
8. Semenoff G and Wijewardhana L 1989 Phys. Rev. Lett. 63 2633 Semenoff G and Weiss N 1990 Phys. Lett. B 250 117 Dorey N and Mavromatos N 1990 Phys. Lett. B 250 107 Kovner A and Rosenstein B 1990 Phys. Rev. B 42 4748 Carena M, Clark T E and Wagner C E M 1991 Nucl. Phys. B 356 117 Mackenzie R, Panigrahi P K and Sakhi S 1994 Int. J. Mod. Phys. A 9 3603 Gusynin V P, Loktev V M and Shovkovy I A 1995 ZhETF 107 2007
9. Semenoff G and Wijewardhana L 1989 Phys. Rev. Lett. 63 2633 Semenoff G and Weiss N 1990 Phys. Lett. B 250 117 Dorey N and Mavromatos N 1990 Phys. Lett. B 250 107 Kovner A and Rosenstein B 1990 Phys. Rev. B 42 4748 Carena M, Clark T E and Wagner C E M 1991 Nucl. Phys. B 356 117 Mackenzie R, Panigrahi P K and Sakhi S 1994 Int. J. Mod. Phys. A 9 3603 Gusynin V P, Loktev V M and Shovkovy I A 1995 ZhETF 107 2007
10. Affleck I 1986 Nucl. Phys. B 265 409
11. Kim S K, Soh K S and Yee J H 1990 Phys. Rev. D 41 1345 Klimenko K G 1994 Mod Phys. Lett. A 9 1767 Rochev V E and Saponov P A 1997 The four-fermion interaction in D = 2, 3, 4: a nonperturbative treatment Preprint hep-th/9710006
12. Kim S K, Soh K S and Yee J H 1990 Phys. Rev. D 41 1345 Klimenko K G 1994 Mod Phys. Lett. A 9 1767 Rochev V E and Saponov P A 1997 The four-fermion interaction in D = 2, 3, 4: a nonperturbative treatment Preprint hep-th/9710006
13. Kim S K, Soh K S and Yee J H 1990 Phys. Rev. D 41 1345 Klimenko K G 1994 Mod Phys. Lett. A 9 1767 Rochev V E and Saponov P A 1997 The four-fermion interaction in D = 2, 3, 4: a nonperturbative treatment Preprint hep-th/9710006
14. Klimenko K G 1988 Z. Phys. C 37 457 Rosenstein B, Warr B J and Park S H 1989 Phys. Rev. D 39 3088 Okopinska A 1988 Phys. Rev. D 38 2507 Okopinska A 1989 Physica 158A 64 Inagaki T, Kouno T and Muta T 1995 Int. J. Mod. Phys. A 10 2241
15. Klimenko K G 1988 Z. Phys. C 37 457 Rosenstein B, Warr B J and Park S H 1989 Phys. Rev. D 39 3088 Okopinska A 1988 Phys. Rev. D 38 2507 Okopinska A 1989 Physica 158A 64 Inagaki T, Kouno T and Muta T 1995 Int. J. Mod. Phys. A 10 2241
16. Klimenko K G 1988 Z. Phys. C 37 457 Rosenstein B, Warr B J and Park S H 1989 Phys. Rev. D 39 3088 Okopinska A 1988 Phys. Rev. D 38 2507 Okopinska A 1989 Physica 158A 64 Inagaki T, Kouno T and Muta T 1995 Int. J. Mod. Phys. A 10 2241
17. Klimenko K G 1988 Z. Phys. C 37 457 Rosenstein B, Warr B J and Park S H 1989 Phys. Rev. D 39 3088 Okopinska A 1988 Phys. Rev. D 38 2507 Okopinska A 1989 Physica 158A 64 Inagaki T, Kouno T and Muta T 1995 Int. J. Mod. Phys. A 10 2241
18. Klimenko K G 1988 Z. Phys. C 37 457 Rosenstein B, Warr B J and Park S H 1989 Phys. Rev. D 39 3088 Okopinska A 1988 Phys. Rev. D 38 2507 Okopinska A 1989 Physica 158A 64 Inagaki T, Kouno T and Muta T 1995 Int. J. Mod. Phys. A 10 2241
19. Klimenko K G 1992 Theor. Math. Phys. 89 1161 Klimenko K G 1992 Z. Phys. C 54 323 Klimenko K G, Vshivtsev A S and Magnitsky B V 1994 Nuovo Cimenta A 107 439
20. Klimenko K G 1992 Theor. Math. Phys. 89 1161 Klimenko K G 1992 Z. Phys. C 54 323 Klimenko K G, Vshivtsev A S and Magnitsky B V 1994 Nuovo Cimenta A 107 439
21. Klimenko K G 1992 Theor. Math. Phys. 89 1161 Klimenko K G 1992 Z. Phys. C 54 323 Klimenko K G, Vshivtsev A S and Magnitsky B V 1994 Nuovo Cimenta A 107 439
22. Gusynin V P, Miransky V A and Shovkovy I A 1994 Phys. Rev. Lett. 73 3499
23. Cangemi D, D'Hoker E and Dunne G V 1995 Phys. Rev. D 51 2513 Parwani R R 1995 Phys. Lett. B 358 101 Shushpanov I A and Smilga A V 1997 Phys. Lett. B 402 351 Dittrich W and Gies H 1997 Phys. Lett. B 392 182 Gusynin V P and Shovkovy IA 1997 Phys. Rev. D 56 5251
24. Cangemi D, D'Hoker E and Dunne G V 1995 Phys. Rev. D 51 2513 Parwani R R 1995 Phys. Lett. B 358 101 Shushpanov I A and Smilga A V 1997 Phys. Lett. B 402 351 Dittrich W and Gies H 1997 Phys. Lett. B 392 182 Gusynin V P and Shovkovy IA 1997 Phys. Rev. D 56 5251
25. Cangemi D, D'Hoker E and Dunne G V 1995 Phys. Rev. D 51 2513 Parwani R R 1995 Phys. Lett. B 358 101 Shushpanov I A and Smilga A V 1997 Phys. Lett. B 402 351 Dittrich W and Gies H 1997 Phys. Lett. B 392 182 Gusynin V P and Shovkovy IA 1997 Phys. Rev. D 56 5251
26. Cangemi D, D'Hoker E and Dunne G V 1995 Phys. Rev. D 51 2513 Parwani R R 1995 Phys. Lett. B 358 101 Shushpanov I A and Smilga A V 1997 Phys. Lett. B 402 351 Dittrich W and Gies H 1997 Phys. Lett. B 392 182 Gusynin V P and Shovkovy IA 1997 Phys. Rev. D 56 5251
27. Cangemi D, D'Hoker E and Dunne G V 1995 Phys. Rev. D 51 2513 Parwani R R 1995 Phys. Lett. B 358 101 Shushpanov I A and Smilga A V 1997 Phys. Lett. B 402 351 Dittrich W and Gies H 1997 Phys. Lett. B 392 182 Gusynin V P and Shovkovy IA 1997 Phys. Rev. D 56 5251
28. Krive I V and Naftulin S A 1992 Phys. Rev. D 46 2737 Klimenko K G 1992 Theor. Math. Phys. 90 1 Vshivtsev A S, Klimenko K G and Magnitsky B V 1996 Theor. Math. Phys. 106 319 Kanemura S and Sato H-T 1997 Thermodynamic Gross-Neveu model under constant electromagnetic field Preprint hep-ph/9707285.
29. Krive I V and Naftulin S A 1992 Phys. Rev. D 46 2737 Klimenko K G 1992 Theor. Math. Phys. 90 1 Vshivtsev A S, Klimenko K G and Magnitsky B V 1996 Theor. Math. Phys. 106 319 Kanemura S and Sato H-T 1997 Thermodynamic Gross-Neveu model under constant electromagnetic field Preprint hep-ph/9707285.
30. Krive I V and Naftulin S A 1992 Phys. Rev. D 46 2737 Klimenko K G 1992 Theor. Math. Phys. 90 1 Vshivtsev A S, Klimenko K G and Magnitsky B V 1996 Theor. Math. Phys. 106 319 Kanemura S and Sato H-T 1997 Thermodynamic Gross-Neveu model under constant electromagnetic field Preprint hep-ph/9707285.
31. Krive I V and Naftulin S A 1992 Phys. Rev. D 46 2737 Klimenko K G 1992 Theor. Math. Phys. 90 1 Vshivtsev A S, Klimenko K G and Magnitsky B V 1996 Theor. Math. Phys. 106 319 Kanemura S and Sato H-T 1997 Thermodynamic Gross-Neveu model under constant electromagnetic field Preprint hep-ph/9707285.
32. Inagaki T, Muta T and Odintsov S D 1997 Progr. Theor. Phys. Suppl. 127 93
33. Hill C T and Salopek D S 1992 Ann. Phys. 213 21 Inagaki T, Muta T and Odintsov S D 1993 Mod. Phys. Lett. A 8 2117 Elizalde E, Leseduarte S and Odintsov S D 1994 Phys. Rev. D 49 5551
34. Hill C T and Salopek D S 1992 Ann. Phys. 213 21 Inagaki T, Muta T and Odintsov S D 1993 Mod. Phys. Lett. A 8 2117 Elizalde E, Leseduarte S and Odintsov S D 1994 Phys. Rev. D 49 5551
35. Hill C T and Salopek D S 1992 Ann. Phys. 213 21 Inagaki T, Muta T and Odintsov S D 1993 Mod. Phys. Lett. A 8 2117 Elizalde E, Leseduarte S and Odintsov S D 1994 Phys. Rev. D 49 5551
36. Elizalde E, Odintsov S D and Shil'nov Yu I 1994 Mod. Phys. Lett. A 9 913
37. Ishikawa K, Inagaki T and Muta T 1996 Mod. Phys. Lett. A 11 939 Inagaki T 1997 Phys. Rev. D 56 5097
38. Ishikawa K, Inagaki T and Muta T 1996 Mod. Phys. Lett. A 11 939 Inagaki T 1997 Phys. Rev. D 56 5097
39. Inagaki T, Mukaigawa S and Muta T 1995 Phys. Rev. D 52 4267 Elizalde E, Leseduarte S, Odintsov S D and Shil'nov Yu I 1996 Phys. Rev. D 53 1917
40. Inagaki T, Mukaigawa S and Muta T 1995 Phys. Rev. D 52 4267 Elizalde E, Leseduarte S, Odintsov S D and Shil'nov Yu I 1996 Phys. Rev. D 53 1917
41. Gitman D M, Odintsov S D and Shil'nov Yu I 1996 Phys. Rev. D 54 2964 Geyer B, Granda L N and Odintsov S D 1996 Mod. Phys. Lett. A 11 2053 Inagaki T, Odintsov S D and Shil'nov Yu 1997 Dynamical symmetry breaking in the external gravitational and constant magnetic fields Preprint hep-th/9709077
42. Gitman D M, Odintsov S D and Shil'nov Yu I 1996 Phys. Rev. D 54 2964 Geyer B, Granda L N and Odintsov S D 1996 Mod. Phys. Lett. A 11 2053 Inagaki T, Odintsov S D and Shil'nov Yu 1997 Dynamical symmetry breaking in the external gravitational and constant magnetic fields Preprint hep-th/9709077
43. Gitman D M, Odintsov S D and Shil'nov Yu I 1996 Phys. Rev. D 54 2964 Geyer B, Granda L N and Odintsov S D 1996 Mod. Phys. Lett. A 11 2053 Inagaki T, Odintsov S D and Shil'nov Yu 1997 Dynamical symmetry breaking in the external gravitational and constant magnetic fields Preprint hep-th/9709077
44. Buchbinder I L and Kirillova E N 1989 Int. J. Mod. Phys. A 4 143
45. Inagaki T 1996 Int. J. Mod. Phys. A 11 4561
46. Kanemura S and Sato H-T 1996 Mod. Phys. Lett. A 11 785 Miele G and Vitale P 1997 Nucl. Phys. B 494 365
47. Kanemura S and Sato H-T 1996 Mod. Phys. Lett. A 11 785 Miele G and Vitale P 1997 Nucl. Phys. B 494 365
48. Kim S K, Namgung W, Soh K S and Yee J H 1987 Phys. Rev. D 36 3172 Song D Y 1993 Phys. Rev. D 48 3925 Kim D K, Han Y D and Koh I G 1994 Phys. Rev. D 49 6943
49. Kim S K, Namgung W, Soh K S and Yee J H 1987 Phys. Rev. D 36 3172 Song D Y 1993 Phys. Rev. D 48 3925 Kim D K, Han Y D and Koh I G 1994 Phys. Rev. D 49 6943
50. Kim S K, Namgung W, Soh K S and Yee J H 1987 Phys. Rev. D 36 3172 Song D Y 1993 Phys. Rev. D 48 3925 Kim D K, Han Y D and Koh I G 1994 Phys. Rev. D 49 6943
51. Klimenko K G, Vshivtsev A S and Magnitskii B V 1995 JETP Lett. 61 871
52. For an introduction, see Misner C W, Thorne K S and Wheeler JA 1973 Gravitation (San Francisco, CA: Freeman)
53. Parker L and Bunch T S 1979 Phys. Rev. D 20 2499 Parker L and Toms D J 1984 Phys. Rev. D 29 1584
54. Parker L and Bunch T S 1979 Phys. Rev. D 20 2499 Parker L and Toms D J 1984 Phys. Rev. D 29 1584
55. Harrington B J and Yildiz A 1974 Phys. Rev. Lett. 33 324 Kislinger M B and Morley P D 1976 Phys. Rev. D 13 2771 Kislinger M B and Morley P D 1979 Phys. Rep. 51 63
56. Harrington B J and Yildiz A 1974 Phys. Rev. Lett. 33 324 Kislinger M B and Morley P D 1976 Phys. Rev. D 13 2771 Kislinger M B and Morley P D 1979 Phys. Rep. 51 63
57. Harrington B J and Yildiz A 1974 Phys. Rev. Lett. 33 324 Kislinger M B and Morley P D 1976 Phys. Rev. D 13 2771 Kislinger M B and Morley P D 1979 Phys. Rep. 51 63
58. Das A and Hott M 1996 Phys. Rev. D 53 2252 Kim D K and Soh K-S 1997 Phys. Rev. D 55 6218
59. Das A and Hott M 1996 Phys. Rev. D 53 2252 Kim D K and Soh K-S 1997 Phys. Rev. D 55 6218