Gauge invariant method for maximum simplification of the field strength in non-Abelian Yang-Mills theories
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arXiv
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| Format: | Preprint |
| Publié: |
2013
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| _version_ | 1866917034236837888 |
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| author | Garat, Alcides |
| author_facet | Garat, Alcides |
| contents | A new local gauge invariant method is introduced in order to maximally simplify the expression for a SU(2) non-Abelian field strength. The new tetrads introduced in previous works are going to play a fundamental role in the algorithm presented in this manuscript. Three new local gauge invariant objects are going to guide us through the process of making a field strength block diagonal. The process is also covariant. Any non-trivial isospace field strength projection will become block diagonal through this gauge invariant algorithm. As an application we will find new local observables in Yang-Mills theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1306_2174 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Gauge invariant method for maximum simplification of the field strength in non-Abelian Yang-Mills theories Garat, Alcides General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 20F65, 70s15, 70G65, 70G45, 53c50 A new local gauge invariant method is introduced in order to maximally simplify the expression for a SU(2) non-Abelian field strength. The new tetrads introduced in previous works are going to play a fundamental role in the algorithm presented in this manuscript. Three new local gauge invariant objects are going to guide us through the process of making a field strength block diagonal. The process is also covariant. Any non-trivial isospace field strength projection will become block diagonal through this gauge invariant algorithm. As an application we will find new local observables in Yang-Mills theories. |
| title | Gauge invariant method for maximum simplification of the field strength in non-Abelian Yang-Mills theories |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 20F65, 70s15, 70G65, 70G45, 53c50 |
| url | https://arxiv.org/abs/1306.2174 |