scholarly journals Massive-scalar effective actions on anti-de Sitter space-time

1999 ◽  
Vol 77 (2) ◽  
pp. 85-99 ◽  
Author(s):  
M Kamela ◽  
C P Burgess

Closed forms are derived for the effective actions for free, massive spinless fields in anti-de Sitter space-times in arbitrary dimensions. The results have simple expressions in terms of elementary functions (for odd dimensions) or multiple Gamma functions (for even dimensions). We use these to argue against the quantum validity of Cruz' recently proposed duality relating such theories with differing masses and cosmological constants.PACS Nos. 11.10- z, 11.90+ t, and 04.60-m.


2007 ◽  
Vol 46 (10) ◽  
pp. 2617-2625 ◽  
Author(s):  
Jia-Feng Chang ◽  
Juan Huang ◽  
You-Gen Shen


2002 ◽  
Vol 19 (11) ◽  
pp. 1587-1588
Author(s):  
Qiu Wei-Gang ◽  
Wang Bin ◽  
Su Ru-Keng




1998 ◽  
Vol 196 (3) ◽  
pp. 535-570 ◽  
Author(s):  
Jacques Bros ◽  
Henri Epstein ORF RID="a3"> ◽  
Ugo Moschella




2021 ◽  
Vol 36 (02) ◽  
pp. 2150011
Author(s):  
Nabil Mehdaoui ◽  
Lamine Khodja ◽  
Salah Haouat

In this work, we address the process of pair creation of scalar particles in [Formula: see text] de Sitter space–time in presence of a constant electromagnetic field by applying the noncommutativity on the scalar field up to first-order in [Formula: see text]. We calculate the density of particles created in the vacuum by the mean of the Bogoliubov transformations. In contrast to a previous result, we show that noncommutativity contributes to the pair creation process. We find that the noncommutativity plays the same role of chemical potential and gives an important interest for studies at high energies.



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








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