Skip to content
Home
About Us
Resources
Profiles Metrics
Authors Directory
Institutions Directory
Top Authors
Top Institutions
Top Sponsors
AI Digest
Contact Us
Menu
Home
About Us
Resources
Profiles Metrics
Authors Directory
Institutions Directory
Top Authors
Top Institutions
Top Sponsors
AI Digest
Contact Us
Home
About Us
Resources
Profiles Metrics
Authors Directory
Institutions Directory
Top Authors
Top Institutions
Top Sponsors
AI Digest
Contact Us
Menu
Home
About Us
Resources
Profiles Metrics
Authors Directory
Institutions Directory
Top Authors
Top Institutions
Top Sponsors
AI Digest
Contact Us
Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
Semiclassical (QFT) and quantum (string) Anti-de Sitter regimes: New results
International Journal of Modern Physics A, Volume 22, No. 7, Year 2007
Notification
URL copied to clipboard!
Description
We compute the quantum string entropy Ss(m, H) from the microscopic string density of states ρs(m, H) of mass m in Anti-de Sitter space-time. For high m, (high Hm → c/α′), no phase transition occurs at the Anti-de Sitter string temperature Ts = (1/27πkB)Lclc2/α′, which is higher than the flat space (Hagedorn) temperature ts. (Lcl = c/H, the Hubble constant H acts as producing a smaller string constant a' and thus, a higher tension). Ts is the precise quantum dual of the semiclassical (QFT) Anti-de Sitter temperature scale Tsem = ℏc;/(2πkBLcl). We compute the quantum string emission σstring by a black hole in Anti-de Sitter (or asymptotically Antide Sitter) space-time (bhAdS). For Tsem bhAdS ≪ Ts (early evaporation stage), it shows the QFT Hawking emission with temperature Tsem bhAds (semiclassical regime). For T sembh AdS → Ts, it exhibits a phase transition into a Anti-de Sitter string state of size Ls = ℓs2/Lcl, (ℓs = √ℏα′ / c), and Anti-de Sitter string temperature Ts. New string bounds on the black hole emerge in the bhAdS string regime. The bhAdS string regime determines a maximal value for H : Hmax = 0.841c/l8. The minimal black hole radius in Anti-de Sitter space-time turns out to be r g min = 0.841ls, and is larger than the minimal black hole radius in de Sitter space-time by a numerical factor equal to 2.304. We find a new formula for the full AdS entropy Ssem(H), as a function of the usual Bekenstein-Hawking entropy ssem(0)(H). For L cl ≫; ℓPlanck, i.e. for low H ≪ c/ℓPPlanck, or classical regime, Ssem(0)(H) is the leading term with its logarithmic correction, but for high H ≥ c/ℓPlanck or quantum regime, no phase transition operates, in contrast to de Sitter space, and the entropy Ssem(H) is very different from the Bekenstein-Hawking term Ssem(0)(H). © World Scientific Publishing Company.
Authors & Co-Authors
Bouchareb, Adel
Algeria, Annaba
Université Badji Mokhtar - Annaba
France, Neuville-sur-oise
Lerma - Laboratoire D'études du Rayonnement et de la Matière en Astrophysique et Atmosphères
Ramón Medrano, M.
France, Neuville-sur-oise
Lerma - Laboratoire D'études du Rayonnement et de la Matière en Astrophysique et Atmosphères
Spain, Madrid
Universidad Complutense de Madrid
Sanchez, Norma G.
France, Neuville-sur-oise
Lerma - Laboratoire D'études du Rayonnement et de la Matière en Astrophysique et Atmosphères
Statistics
Citations: 3
Authors: 3
Affiliations: 3
Identifiers
Doi:
10.1142/S0217751X07035008
ISSN:
0217751X
Research Areas
Environmental