Fractional Quantum Field Theory: From Lattice to Continuum
An approach to formulate fractional field theories on unbounded lattice space-time is suggested. A fractional-order analog of the lattice quantum field theories is considered. Lattice analogs of the fractional-order 4-dimensional differential operators are proposed. We prove that continuum limit of...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/957863 |
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| _version_ | 1832560361791815680 |
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| author | Vasily E. Tarasov |
| author_facet | Vasily E. Tarasov |
| author_sort | Vasily E. Tarasov |
| collection | DOAJ |
| description | An approach to formulate fractional field theories on unbounded lattice space-time is suggested. A fractional-order analog of the lattice quantum field theories is considered. Lattice analogs of the fractional-order 4-dimensional differential operators are proposed. We prove that continuum limit of the suggested lattice field theory gives a fractional field theory for the continuum 4-dimensional space-time. The fractional field equations, which are derived from equations for lattice space-time with long-range properties of power-law type, contain the Riesz type derivatives on noninteger orders with respect to space-time coordinates. |
| format | Article |
| id | doaj-art-0095c80c66b249d797060abd54d6fb25 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-0095c80c66b249d797060abd54d6fb252025-02-03T01:27:47ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/957863957863Fractional Quantum Field Theory: From Lattice to ContinuumVasily E. Tarasov0Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, RussiaAn approach to formulate fractional field theories on unbounded lattice space-time is suggested. A fractional-order analog of the lattice quantum field theories is considered. Lattice analogs of the fractional-order 4-dimensional differential operators are proposed. We prove that continuum limit of the suggested lattice field theory gives a fractional field theory for the continuum 4-dimensional space-time. The fractional field equations, which are derived from equations for lattice space-time with long-range properties of power-law type, contain the Riesz type derivatives on noninteger orders with respect to space-time coordinates.http://dx.doi.org/10.1155/2014/957863 |
| spellingShingle | Vasily E. Tarasov Fractional Quantum Field Theory: From Lattice to Continuum Advances in High Energy Physics |
| title | Fractional Quantum Field Theory: From Lattice to Continuum |
| title_full | Fractional Quantum Field Theory: From Lattice to Continuum |
| title_fullStr | Fractional Quantum Field Theory: From Lattice to Continuum |
| title_full_unstemmed | Fractional Quantum Field Theory: From Lattice to Continuum |
| title_short | Fractional Quantum Field Theory: From Lattice to Continuum |
| title_sort | fractional quantum field theory from lattice to continuum |
| url | http://dx.doi.org/10.1155/2014/957863 |
| work_keys_str_mv | AT vasilyetarasov fractionalquantumfieldtheoryfromlatticetocontinuum |