Casimir energy in a bounded Gross-Neveu model
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedad Mexicana de Física A.C.
2018
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| _version_ | 1876434718710300672 |
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| author | F. Escalante |
| author_facet | F. Escalante |
| contents | Casimir energy in a bounded Gross-Neveu model F. Escalante J. C. Rojas Física, Astronomía y Matemáticas Gross Neveu zeta function Casimir effect Renormalization We study the Casimir energy and forces associated with the vacuum of the massless Gross-Neveu (GN) model in a finite spatial dimension for different boundary conditions. The standard solution given by the Hartree-Fock method is considered using the generalized method of the zeta function, with the aim of studying the dynamic generation of mass and the associated beta function. It is found that the beta function does not depend on the boundary conditions. Then, considering several boundary conditions, the corresponding Casimir energies and forces were obtained. We obtain that the nature of the forces depends as much on the type of contour condition as on the magnitude of the space. 2018 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082916005 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.6 Vol.64 |
| format | Artículo científico |
| id | redalyc_57082916005 |
| institution | Redalyc |
| language | en |
| publishDate | 2018 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Casimir energy in a bounded Gross-Neveu model F. Escalante Física, Astronomía y Matemáticas Gross Neveu zeta function Casimir effect Renormalization Casimir energy in a bounded Gross-Neveu model F. Escalante J. C. Rojas Física, Astronomía y Matemáticas Gross Neveu zeta function Casimir effect Renormalization We study the Casimir energy and forces associated with the vacuum of the massless Gross-Neveu (GN) model in a finite spatial dimension for different boundary conditions. The standard solution given by the Hartree-Fock method is considered using the generalized method of the zeta function, with the aim of studying the dynamic generation of mass and the associated beta function. It is found that the beta function does not depend on the boundary conditions. Then, considering several boundary conditions, the corresponding Casimir energies and forces were obtained. We obtain that the nature of the forces depends as much on the type of contour condition as on the magnitude of the space. 2018 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082916005 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.6 Vol.64 |
| title | Casimir energy in a bounded Gross-Neveu model |
| topic | Física, Astronomía y Matemáticas Gross Neveu zeta function Casimir effect Renormalization |
| url | https://www.redalyc.org/articulo.oa?id=57082916005 |