Chiral models: Geometrical aspects |
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| Affiliation: | 1. Notre Dame University-Louaizé, Faculty of Natural and Applied Sciences, Department of Mathematics and Statistics, P.O. Box 72, Zouk Mikael, Lebanon;2. LAMA, Université Paris-Est Marne-la-Vallée, Cité Descartes, Champs sur Marne, 77454 Marne-la-Vallée cedex 2, France;1. Institute of Nuclear and Particle Physics, National Center for Scientific Research Demokritos, Ag. Paraskevi, GR-15310 Athens, Greece;2. Department of Nuclear and Particle Physics, Faculty of Physics, University of Athens, Athens 15784, Greece;3. Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, CH3012 Bern, Switzerland;1. Institute of Modern Physics, Northwest University, Xi''an 710069, China;2. Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi''an 710069, China;3. Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, Guangdong, China;4. School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, Guangdong, China;5. The Laboratory for Quantum Gravity and Strings, Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag, Rondebosch 7700, South Africa;6. Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden;7. Department of Physics, Tokyo Institute of Technology, Tokyo, 152-8551, Japan |
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| Abstract: | Two-dimensional classical chiral models of field theory are considered, the main attention being paid on geometrical aspects of such theories.A characteristic feature of these models is that the interaction is inserted not by adding the interaction Lagrangian to the free field Lagrangian, but has a purely geometrical origin and is related to the inner curvature of the manifold.These models are in many respects analogous to non-Abelian gauge theories and as became clear recently, they are also important for the superstring theory which nowadays is the most probable candidate for a truly unified theory of all interactions including gravitation. |
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