Some remarks on the Liouville approach to two-dimensional quantum gravity |
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| Affiliation: | 1. Faculty of Materials Science and Engineering, South China University of Technology, Guangzhou 510640, PR China;2. China Ship Development and Design Center, Wuhan 430064, PR China;1. Department of Neurosurgery, Massachusetts General Hospital and Harvard Medical School, Boston, MA, USA;2. Center for Surgical Optimization, Albert Einstein College of Medicine and Montefiore Medical Center, Bronx, NY, USA;3. Spinal Disorders Study Group, Albert Einstein College of Medicine and Montefiore Medical Center, Bronx, NY, USA;4. Department of Physical Medicine and Rehabilitation, Albert Einstein College of Medicine and Montefiore Medical Center, Bronx, NY, USA;5. Neuroscience Institute, Virginia Mason Medical Center, Seattle, WA, USA;6. Department of Health Services, University of Washington, Seattle, WA, USA |
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| Abstract: | We show the equivalence of tow-dimensional quantum gravity interacting with a total number of scalar and Dirac-fermion degrees of freedom less of 26 and quantum Liouvill field theory. An analysis of the two-dimensional effective geometry, as well as of the conditions of non-triviality of the resulting quantum theory, is also included. A general procedure to get the complete one-loop effective action is suggested at the end. |
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