---

Prog. Theor. Phys. Vol. 77 No. 5 (1987) pp. 1253-1266

Finite Temperature and Density Effects in Higher Dimensions with and without Compactifications

Kiyoshi Shiraishi

Department of Physics, Tokyo Metropolitan University, Tokyo 158

(Received July 4, 1986)

Abstract:

Expressions for the thermodynamic potential of a Dirac fermion gas are represented at finite temperature with the chemical potential in an ultrastatic space R^d×S^N. The high- and low- temperature expansions for the thermodynamic potential are obtained and, in particular, strongly degenerate fermi gas is investigated. For the Candelas-Weinberg model, sufficiently high “charge” density prevents the compactification of the extra space.

URL : http://ptp.ipap.jp/link?PTP/77/1253/
DOI : 10.1143/PTP.77.1253

[ Full Text PDF (553K) ]  [ Buy This Article ]  Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. For a review, M. J. Duff, B. E. W. Nilsson and C. N. Pope, Phys. Rep. 130 (1986), 1[CrossRef].
2. Selected papers can be found in Superstrings, ed. J. Schwarz (World Scientific, Singapore, 1985).
3. Many papers are published on this subject.
   For a review, see E. W. Kolb, in Proceedings of the Santa Fe Meeting, ed. T. Goldman and M. M. Nieto (World Scientific, Singapore, 1985), p. 101.
4. E. Alvarez and M. Belen Gavela, Phys. Rev. Lett. 51 (1983), 931[APS].
   S. M. Barr and L. S. Brown, Phys. Rev. D29 (1984), 2779[APS].
5. A. Actor, Nucl. Phys. B265[FS15] (1986), 689.
   P. Roy and R. Roychoudhury, Phys. Rev. D32 (1985), 498[APS].
6. A. D. Linde, Phys. Rev. D14 (1976), 3345[APS].
   K. Sato, Prog. Theor. Phys. 55 (1976), 978[IPAP].
7. M. A. Rubin and B. D. Roth, Nucl. Phys. B226 (1983), 444[Elsevier]; Phys. Lett. 127B (1983), 55.
8. D. Birmingham and S. Sen, Ann. of Phys. 161 (1985), 121[CrossRef].
9. L. Dolan and R. Jackiw, Phys. Rev. D25 (1982), 502[APS].
10. Y. Tosa, Phys. Rev. D33 (1986), 2326[APS].
11. H. E. Haber and H. A. Weldon, Phys. Rev. D25 (1982), 502[APS].
12. D. Bailin and A. Love, Nucl. Phys. 226 (1983), 493.
13. S. W. Hawking, Commun. Math. Phys. 55 (1979), 133[CrossRef].
    For applications to the Kaluza-Klein theories, see E. Myers, Phys. Rev. D33 (1986), 1563, [APS]and references therein.
14. B. Allen, Phys. Rev. D33 (1986), 3640[APS].
15. J. S. Dowker, Phys. Rev. D29 (1984), 2773[APS]; Class. Quantum Grav. 1 (1984), 359[IoP STACKS].
16. A. Devoto and D. W. Duke, Riv. Nuovo Cim. 7 (1984), 1.
17. For example, L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, Oxford, 1968).
18. J. Cleymans, R. V. Gavai and E. Suhonen, Phys. Rep. 130 (1986), 217[CrossRef].
    E. V. Shuryak, Phys. Rep. 61 (1980), 71[CrossRef].
19. M. B. Altaie and J. S. Dowker, Phys. Rev. D18 (1978), 3357[APS].
20. P. Candelas and S. Weinberg, Nucl. Phys. B237 (1984), 397[Elsevier].
21. K. Kikkawa, T. Kubota, S. Sawada and M. Yamasaki, Nucl. Phys. B260 (1985), 456[Elsevier].
    C. S. Lim, Phys. Rev. D31 (1985), 2507[APS].
    K. Shiraishi, Prog. Theor. Phys. 74 (1985), 832[IPAP].
22. J. A. Frieman and E. W. Kolb, Phys. Rev. Lett. 55 (1985), 1435[APS].
23. F. S. Accetta and E. W. Kolb, Phys. Rev. D34 (1986), 1798[APS].
24. A. Actor, Phys. Rev. D27 (1983), 2548[APS]; Phys. Lett. 157B (1985), 53.
25. E. W. Kolb and P. Slansky, Phys. Lett. 135B (1984), 378.
26. H. A. Weldon, Nucl. Phys. B270[FS16] (1986), 79.
27. M. Yoshimura, Phys. Rev. D30 (1984), 344[APS].
28. K. Shiraishi, Prog. Theor. Phys. 77 (1987), 975[IPAP].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 121 No. 5 (2009) pp. 1035-1048 :

   Emergent Einstein Universe under Deconstruction

   Nahomi Kan and Kiyoshi Shiraishi

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2010 All rights reserved.