Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
We study a discrete model of the SU(2) Yang-Mills equations on a combinatorial analog of R4. Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both techniques of a double complex and the quaternionic approach. Interesting analog...
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| Format: | Article |
| Language: | English |
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Universidad de La Frontera
2010-01-01
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| Series: | Cubo |
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300007 |
| _version_ | 1828855181939310592 |
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| author | VOLODYMYR SUSHCH |
| author_facet | VOLODYMYR SUSHCH |
| author_sort | VOLODYMYR SUSHCH |
| collection | DOAJ |
| description | We study a discrete model of the SU(2) Yang-Mills equations on a combinatorial analog of R4. Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both techniques of a double complex and the quaternionic approach. Interesting analogies between instanton, anti-instanton solutions of discrete and continual self-dual, anti-self-dual equations are also discussed.<br>Estudiamos el modelo discreto de las ecuaciones de Yang-Mills SU(2) sobre un análogo combinatório de R4. Soluciones auto-dual y anti-auto-dual para las ecuaciones discretas de Yang-Mills son construidas. Para obtener estas soluciones usamos las técnicas de doble complejo y abordage cuaternionico. Interesantes analogías entre soluciones instantones y anti-instantones de ecuaciones discretas y continuas auto-dual y anti-auto-dual son discutidas. |
| first_indexed | 2024-12-13T00:50:23Z |
| format | Article |
| id | doaj.art-68738f880d4d48da8ac0a7f76c0b6652 |
| institution | Directory Open Access Journal |
| issn | 0716-7776 0719-0646 |
| language | English |
| last_indexed | 2024-12-13T00:50:23Z |
| publishDate | 2010-01-01 |
| publisher | Universidad de La Frontera |
| record_format | Article |
| series | Cubo |
| spelling | doaj.art-68738f880d4d48da8ac0a7f76c0b66522022-12-22T00:04:57ZengUniversidad de La FronteraCubo0716-77760719-06462010-01-0112399120Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double ComplexVOLODYMYR SUSHCHWe study a discrete model of the SU(2) Yang-Mills equations on a combinatorial analog of R4. Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both techniques of a double complex and the quaternionic approach. Interesting analogies between instanton, anti-instanton solutions of discrete and continual self-dual, anti-self-dual equations are also discussed.<br>Estudiamos el modelo discreto de las ecuaciones de Yang-Mills SU(2) sobre un análogo combinatório de R4. Soluciones auto-dual y anti-auto-dual para las ecuaciones discretas de Yang-Mills son construidas. Para obtener estas soluciones usamos las técnicas de doble complejo y abordage cuaternionico. Interesantes analogías entre soluciones instantones y anti-instantones de ecuaciones discretas y continuas auto-dual y anti-auto-dual son discutidas.http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300007Yang-Mills equationsself-dual and anti-self-dual equationsinstantons and anti-instantonsdifference equations |
| spellingShingle | VOLODYMYR SUSHCH Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex Cubo Yang-Mills equations self-dual and anti-self-dual equations instantons and anti-instantons difference equations |
| title | Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex |
| title_full | Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex |
| title_fullStr | Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex |
| title_full_unstemmed | Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex |
| title_short | Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex |
| title_sort | self dual and anti self dual solutions of discrete yang mills equations on a double complex |
| topic | Yang-Mills equations self-dual and anti-self-dual equations instantons and anti-instantons difference equations |
| url | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300007 |
| work_keys_str_mv | AT volodymyrsushch selfdualandantiselfdualsolutionsofdiscreteyangmillsequationsonadoublecomplex |