Juggling with Tensor Bases in Functional Approaches
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916646522716160 |
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| author | Braun, Jens Geißel, Andreas Pawlowski, Jan M. Sattler, Franz R. Wink, Nicolas |
| author_facet | Braun, Jens Geißel, Andreas Pawlowski, Jan M. Sattler, Franz R. Wink, Nicolas |
| contents | Systematic expansion schemes in functional approaches require the inclusion of higher order vertices. These vertices are expanded in independent tensor bases with a rapidly increasing number of basis elements. Amongst the related tasks are the construction of bases and projection operators, the importance ordering of their elements, and the optimisation of such tensor bases, as well as an analysis of their regularity in momentum space. We present progress in all these directions and introduce the Mathematica package TensorBases designed for the aforementioned tasks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05580 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Juggling with Tensor Bases in Functional Approaches Braun, Jens Geißel, Andreas Pawlowski, Jan M. Sattler, Franz R. Wink, Nicolas High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology Systematic expansion schemes in functional approaches require the inclusion of higher order vertices. These vertices are expanded in independent tensor bases with a rapidly increasing number of basis elements. Amongst the related tasks are the construction of bases and projection operators, the importance ordering of their elements, and the optimisation of such tensor bases, as well as an analysis of their regularity in momentum space. We present progress in all these directions and introduce the Mathematica package TensorBases designed for the aforementioned tasks. |
| title | Juggling with Tensor Bases in Functional Approaches |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.05580 |