Remarks on quantum field theory on de Sitter and anti-de Sitter space-times

Pramana ◽  
2012 ◽  
Vol 78 (6) ◽  
pp. 853-864 ◽  
Author(s):  
HENRI EPSTEIN
1998 ◽  
Vol 196 (3) ◽  
pp. 535-570 ◽  
Author(s):  
Jacques Bros ◽  
Henri Epstein ORF RID="a3"> ◽  
Ugo Moschella

1978 ◽  
Vol 18 (10) ◽  
pp. 3565-3576 ◽  
Author(s):  
S. J. Avis ◽  
C. J. Isham ◽  
D. Storey

2008 ◽  
Vol 23 (12) ◽  
pp. 1821-1838 ◽  
Author(s):  
ZHE CHANG ◽  
XIN LI

Consequences of Schrödinger's antipodal identification on quantum field theory in de Sitter space are investigated. The elliptic ℤ2 identification provides observers with complete information. We show that a suitable confinement on dimension of the elliptic de Sitter space guarantees the existence of globally defined spinors and orientable dS/ℤ2 manifold. In Beltrami coordinates, we give exact solutions of scalar and spinor fields. The CPT invariance of quantum field theory on the elliptic de Sitter space is presented explicitly.


We examine the modes of a scalar field in de Sitter space and construct quantum two-point functions. These are then used to compute a finite stress tensor by the technique of covariant point-splitting. We propose a renormalization ansatz based on the DeWitt-Schwinger expansion, and show that this removes all am biguities previously present in pointsplitting regularization. The results agree in detail with previous work by dimensional regularization, and give rise to an anomalous trace with the conventional coefficient. We describe how’ our treatment may be extended to more general situations.


2013 ◽  
Vol 87 (2) ◽  
Author(s):  
Yusuke Korai ◽  
Takahiro Tanaka

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