Mean field methods for strings and monopoles in abelian lattice gauge theories |
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| Institution: | 1. Dipartimento di Fisica, Universitá di Firenze, Italy;2. INFN, Sezione di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy;1. Departamento de Microbiología e Inmunología, Facultad de Ciencias Exactas, Físico, Químicas y Naturales, Universidad Nacional de Río Cuarto, Ruta Nacional N 36 Km. 601, 5800 Río Cuarto, Córdoba, Argentina;2. Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina;1. Institute of Crop Sciences, National Wheat Improvement Center, Chinese Academy of Agricultural Sciences (CAAS), Beijing 100081, China;2. International Maize and Wheat Improvement Center (CIMMYT), c/o CAAS, Beijing 100081, China;3. Department of Plant Pathology and Plant-Microbe Biology, Cornell University, Geneva, NY, USA;4. International Crops Research Institute for the Semi-Arid Tropics (ICRISAT), Patancheru 502324, India;1. Department of Agricultural Botany, Faculty of Agriculture, Kafrelsheikh University, Kafr-Elsheikh 33516, Egypt;2. Wheat Diseases Research Department, Plant Pathology Research Institute, Agricultural Research Centre, Giza 12619, Egypt |
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| Abstract: | Selfconsistent approximations, which join the Bethe-Peierls method and duality transformation, are applied to disorder parameters related to strings (domain boundaries) and monopoles in Z(N) and U(1) lattice gauge theories. The two-phase and the three-phase diagrams are reproduced in three and four dimensions. Nice results are obtained for the internal energy and the monopole charge density. A formulation for gauge theories of the selfconsistent Monte Carlo method is introduced in order to improve these approximations. |
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