Thermodynamic Casimir effects involving interacting field theories with zero modes

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 11, 2008, Pages

  Grüneberg, Daniel ^a   Diehl, H W ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41449114240     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.115409     Document Type: Article

References (61)

1. M. E. Fisher and P.-G. de Gennes, C. R. Seances Acad. Sci., Ser. B CHDBAN 0366-6077 287, 207 (1978).
2. M. Krech, Casimir Effect in Critical Systems (World Scientific, Singapore, 1994).
3. M. Krech, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/ 11/37/201 11, R391 (1999).
4. J. G. Brankov, D. M. Dantchev, and N. S. Tonchev, Theory of Critical Phenomena in Finite-Size Systems-Scaling and Quantum Effects (World Scientific, Singapore, 2000).
5. H. B. G. Casimir, Proc. K. Ned. Akad. Wet. PKNAAU 0370-0348 51, 793 (1948).
6. M. Krech and S. Dietrich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.345 66, 345 (1991);
7. M. Krech and S. Dietrich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.1055.2 67, 1055 (E) (1991).
8. M. Krech and S. Dietrich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.1886 46, 1886 (1992).
9. M. Krech and S. Dietrich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.1922 46, 1922 (1992).
10. R. Garcia and M. H. W. Chan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1187 83, 1187 (1999).
11. A. Ganshin, S. Scheidemantel, R. Garcia, and M. H. W. Chan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.075301 97, 075301 (2006).
12. H. W. Diehl, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1986), Vol. 10, pp. 75-267.
13. H. W. Diehl, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/ S0217979297001751 11, 3503 (1997).
14. K. Symanzik, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(81)90482-X 190, 1 (1981).
15. H. W. Diehl and S. Dietrich, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(80)90783-5 80A, 408 (1980).
16. H. W. Diehl and S. Dietrich, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01298293 42, 65 (1981);
17. H. W. Diehl and S. Dietrich, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 43, 281(E) (1981).
18. H. W. Diehl and S. Dietrich, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.24.2878 24, 2878 (1981).
19. H. W. Diehl and S. Dietrich, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01304094 50, 117 (1983).
20. H. W. Diehl, D. Grüneberg, and M. A. Shpot, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10090-0 75, 241 (2006).
21. D. Danchev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.2104 53, 2104 (1996).
22. D. Dantchev, H. W. Diehl, and D. Grüneberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.016131 73, 016131 (2006).
23. D. M. Danchev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.1455 58, 1455 (1998).
24. D. Dantchev and M. Krech, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.046119 69, 046119 (2004).
25. A. Hucht, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.185301 99, 185301 (2007).
26. A. Hucht (unpublished).
27. O. Vasilyev, A. Gambassi, A. Maciołek, and S. Dietrich, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/80/60009 80, 60009 (2007).
28. R. Schloms and V. Dohm, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(89)90223-X 328, 639 (1989).
29. H. W. Diehl and M. Shpot, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3431 73, 3431 (1994).
30. H. W. Diehl and M. Shpot, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(98)00489-1 528, 595 (1998).
31. E. Brézin and J. Zinn-Justin, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(85)90379-7 257, 867 (1985).
32. J. Rudnick, H. Guo, and D. Jasnow, J. Stat. Phys. JSTPBS 0022-4715 41, 355 (1985).
33. H. W. Diehl, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01311657 66, 211 (1987).
34. Y. Y. Goldschmidt, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(87) 90152-0 280, 340 (1987).
35. J. C. Niel and J. Zinn-Justin, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(87)90153-2 280, 355 (1987).
36. U. Ritschel and H. W. Diehl, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(96)00012-0 464, 512 (1996).
37. M. E. Fisher, in Critical Phenomena, edited by, M. S. Green,, Proceedings of the 51st Enrico Summer School, Varenna, Italy (Academic, London, 1971), pp. 73-98.
38. M. N. Barber, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1983), Vol. 8, pp. 145-266.
39. K. Binder, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1983), Vol. 8, pp. 1-144.
40. H. W. Diehl and E. Eisenriegler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.1767 48, 1767 (1982).
41. H. W. Diehl and E. Eisenriegler, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.300 30, 300 (1984).
42. E. H. Stanley, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.176.718 176, 718 (1968).
43. H. J. F. Knops, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1666269 14, 1918 (1973).
44. M. E. Fisher and A. Aharony, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.10.2818 10, 2818 (1974).
45. H. Horner, Z. Phys. B ZPBBDJ 0340-224X 23, 183 (1976).
46. D. J. Amit and Y. Y. Goldschmidt, Ann. Phys. ANPYA2 0003-3804 10.1016/0003-4916(78)90274-9 114, 356 (1978).
47. L. Schäfer and H. Horner, Z. Phys. B ZPBBDJ 0340-224X 29, 251 (1978).
48. I. D. Lawrie, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/14/9/041 14, 2489 (1981).
49. N. D. Mermin and H. Wagner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.17.1133 17, 1133 (1966).
50. P. Peczak and D. P. Landau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.1048 43, 1048 (1991).
51. Y. Deng, H. W. J. Blöte, and M. P. Nightingale, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.016128 72, 016128 (2005).
52. S. Balibar and R. Ishiguro, Pramana, J. Phys. PRAMCI 0304-4289 10.1007/BF02704580 64, 743 (2005)
53. A. Maciołek and S. Dietrich, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10497-y 74, 22 (2006).
54. M. Krech and D. P. Landau, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.4414 53, 4414 (1996).
55. G. Parisi, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01014429 23, 49 (1980).
56. A. Maciołek, A. Gambassi, and S. Dietrich, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.031124 76, 031124 (2007).
57. R. Zandi, A. Shackell, J. Rudnick, M. Kardar, and L. P. Chayes, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.030601 76, 030601 (R) (2007).
58. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Part I (McGraw-Hill, New York, 1953).
59. E. Elizalde and A. Romeo, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.528332 30, 1133 (1989);
60. E. Elizalde and A. Romeo, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.528805 31, 771 (E) (1990).
61. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, Orlando, FL, 1980).