Quantum scalar fields on anti-de Sitter space-time

被引:33
作者
Caldarelli, MM
机构
[1] Univ Trent, Dipartimento Fis, I-38050 Povo, TN, Italy
[2] Ist Nazl Fis Nucl, Grp Collegato Trento, Trento, Italy
关键词
stress tensor; anti-de Sitter; zeta-function; renormalization;
D O I
10.1016/S0550-3213(99)00137-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We investigate the propagation of arbitrarily coupled scalar fields on the N-dimensional hyperbolic space H-N. Using the zeta-function regularization we compute exactly the one-loop effective action. The vacuum expectation value of quadratic field fluctuations and the one-loop renormalized stress tensor are then computed using the recently proposed direct zeta-function technique. Our computation tests the validity of this approach in the presence of a continuous spectrum. Our results apply as well to the N-dimensional anti-de Sitter space-time, whose appropriate euclidean section is the hyperbolic space H-N. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:499 / 515
页数:17
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