On gauge consistency in gauge-fixed Yang-Mills theory
We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled systems of functional renormalisation group for the momentumdependent ghost and gluon propagator, ghost-gluon, and three- and four-gluon vertex dressings. The equations for bot...
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| Main Authors: | , , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
22 Feb 2022
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| In: |
Arxiv
Year: 2022, Pages: 1-27 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2202.11123
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| Author Notes: | Jan M. Pawlowski, Coralie S. Schneider, and Nicolas Wink |
| Summary: | We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled systems of functional renormalisation group for the momentumdependent ghost and gluon propagator, ghost-gluon, and three- and four-gluon vertex dressings. The equations for both, transverse and longitudinal correlation functions are solved self-consistently: all correlation functions are fed back into the loops. Additionally, we also use the Slavnov-Taylor identities for computing the longitudinal correlation functions on the basis of the above results. Then, the gauge consistency of the solutions is checked by comparing the respective longitudinal correlation functions. We find good agreement of these results, hinting at the gauge consistency of our setup. |
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| Item Description: | Last revised 25 Aug 2022 Gesehen am 27.09.2022 |
| Physical Description: | Online Resource |