---

Prog. Theor. Phys. Vol. 73 No. 4 (1985) pp. 942-958

High Temperature Quantum Effects in Kaluza-Klein Cosmology

— Graviton and Fermion Loop —

Motohiko Yoshimura

National Laboratory for High Energy Physics (KEK), Tsukuba, Ibaraki 305

(Received November 9, 1984)

Abstract:

Quantum effective action due to the graviton and the fermion loop is computed in the background spacetime of Robertson-Walker type in higher dimensions. It is shown that in a high temperature limit the statistical factor for fermions (1-2^-d) (d=number of space dimension) and the number of helicity states account for most of the differences due to the spin. The method is also applied for a direct product space of S^d₁ ×S^d₂.

URL : http://ptp.ipap.jp/link?PTP/73/942/
DOI : 10.1143/PTP.73.942

[ Full Text PDF : FREE ACCESS (803K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. A. Chodos and S. Detweiler, Phys. Rev. D21 (1980), 2167[APS].
   P. G. O. Freund, Nucl. Phys. B209 (1982), 146[Elsevier].
   P. Ramond, in Proceedings of the Sixth Johns Hopkins Workshop on Current Problems in High Energy Particle Theory (1982).
   E. Alvarez and M. B. Gavela, Phys. Rev. Lett. 51 (1983), 931[APS].
   D. Sahdev, Phys. Lett. 137B (1984), 155.
   R. B. Abbott, S. M. Barr and S. D. Ellis, Phys. Rev. D30 (1984), 720[APS].
   E. W. Kolb, D. Lindley and D. Seckel, Phys. Rev. D30 (1984), 1205, [APS]and many others.
2. T. Appelquist and A. Chodos, Phys. Rev. Lett. 50 (1983), 141[APS].
   P. Candelas and S. Weinberg, Nucl. Phys. B237 (1984), 397[Elsevier].
3. Y. Okada, University of Tokyo Preprint UT-441 (1984).
   D. Bailin, A. Love and C. E. Vayonakis, Phys. Lett. 142B (1984), 344.
   T. Koikawa and M. Yoshimura, Phys. Lett. 150B (1985), 107.
4. S. Randjbar-Daemi, A. Salam and J. Strathdee, Phys. Lett. 135B (1984), 388.
5. M. Yoshimura, Phys. Rev. D30 (1984), 344[APS].
6. M. Yoshimura, Prog. Theor. Phys. 73 (1985), 849[PTP].
7. For example, L. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, Menlo Park, California, 1962).
8. R. Jackiw, Phys. Rev. D9 (1974), 1686[APS].
   L. Dolan and R. Jackiw, Phys. Rev. D9 (1974), 3320[APS].
   S. Weinberg, Phys. Rev. D9 (1974), 3357[APS].
9. Th. Kaluza, Sitz. Preuss. Akad. Wiss. Phys. Math. K1 (1921), 966.
   O. Klein, Z. Phys. 37 (1926), 895.
   E. Witten, Nucl. Phys. B186 (1981), 412[Elsevier].
   A. Salam and J. Strathdee, Ann. of Phys. 141 (1982), 316[CrossRef].
10. For example, M. Veltman, in Methods in Field Theory, ed. by R. Balian and J. Zinn-Justin (North-Holland Publishing Co., Amsterdam, 1976).
11. M. A. Rubin and C. R. Ordonez, J. Math. Phys. 25 (1984), 2888[CrossRef].
    A. Chodos and E. Myers, Ann. of Phys. 156 (1984), 412[CrossRef].
12. K. Fujikawa, Nucl. Phys. B226 (1983), 437[Elsevier].
13. L. Girardello, M. T. Grisaru and P. Salomonson, Nucl. Phys. B178 (1981), 331[Elsevier].
14. P. Candelas and S. Weinberg, Nucl. Phys. B237 (1984), 397[Elsevier].
15. A. Erdelyi, W. Magnus, F. Oberhettinger and F. R. Tricomi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), vol. II.

---

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.