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Dilaton gravity in two dimensions
Affiliation:1. Institut für Theoretische Physik, TU Wien, Wiedner Hauptstr. 8–10, A-1040 Wien, Austria;2. Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10, D-04109 Leipzig, Germany;3. V.A. Fock Insitute of Physics, St. Petersburg University, 198904 St. Petersburg, Russia;1. Theoretical Physics Group, Department of Physics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait;2. Laboratoire de Physique de Clermont-Ferrand, Université Clermont Auvergne, 4, Avenue Blaise Pascal, 63178 Aubière Cedex, France;3. Department of Physics and Astronomy, King Saud University, Riyadh 11451, Saudi Arabia;4. Netherlands Institute for Advanced Study, Korte Spinhuissteeg 3, 1012 CG Amsterdam, Netherlands;5. Department of Physics, Faculty of Science, Benha University, Benha, 13518, Egypt;1. Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya 464-8602, Japan;2. Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan;3. Institute for Advanced Research, Nagoya University, Nagoya 464-8602, Japan;4. Department of Physics, Nagoya University, Nagoya 464-8602, Japan;5. The University of Tokyo, International Center for Elementary Particle Physics and Department of Physics, 7-3-1 Hongo, Bunkyo-ku, JP - Tokyo 113-0033, Japan;1. School of Physics, Damghan University, Damghan, 3671641167, Iran;2. Irving K. Barber School of Arts and Sciences, University of British Columbia, Kelowna, British Columbia, V1V 1V7, Canada;3. Department of Physics and Astronomy, University of Lethbridge, Lethbridge, Alberta, T1K 3M4, Canada;4. Department of Electronics and Communication Engineering, Institute of Technology, University of Kashmir, Srinagar, Kashmir, 190006, India;5. Department of Metallurgical and Materials Engineering, National Institute of Technology, Srinagar, Kashmir, 190006, India;1. Center for Theoretical Physics, College of Physics Science and Technology, Sichuan University, 610065 Chengdu, China;4. INFN Sez. di Napoli, Compl. Univ. Monte S. Angelo Ed. G, Via Cinthia, I-80126 Napoli, Italy;5. Scuola Superiore Meridionale, Largo S. Marcellino 10, I-80138 Napoli, Italy;6. Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050 Tomsk, Russia;7. Institute of Space Sciences (IEEC-CSIC), C. Can Magrans s/n, 08193 Barcelona, Spain;8. ICREA, Passeig Luis Companys, 23, 08010 Barcelona, Spain
Abstract:The study of general two-dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important examples of spherically symmetric Black Holes, together with string inspired models, belong to this class, valuable knowledge can also be gained for these systems in the quantum case. In the last decade, new insights regarding the exact quantization of the geometric part of such theories have been obtained. They allow a systematic quantum field theoretical treatment, also in interactions with matter, without explicit introduction of a specific classical background geometry. The present review tries to assemble these results in a coherent manner, putting them at the same time into the perspective of the quite large literature on this subject.
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