Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866913564401336320 |
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| author | Ivanov, A. V. Kharuk, N. V. |
| author_facet | Ivanov, A. V. Kharuk, N. V. |
| contents | In the paper we study the Yang-Mills effective action in the four-dimensional space-time by using background field formalism. We give an explicit way of cutoff regularization procedure, then do a two-loop renormalization and calculate a second $β$-function coefficient. We also show that the two-loop singularity contains only logarithmic part in the first degree. At the same time additional properties of a Green function regular part are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_05999 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action Ivanov, A. V. Kharuk, N. V. High Energy Physics - Theory In the paper we study the Yang-Mills effective action in the four-dimensional space-time by using background field formalism. We give an explicit way of cutoff regularization procedure, then do a two-loop renormalization and calculate a second $β$-function coefficient. We also show that the two-loop singularity contains only logarithmic part in the first degree. At the same time additional properties of a Green function regular part are obtained. |
| title | Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2004.05999 |