More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
The three-gluon vertex has been found to be a vital ingredient in non-perturbative functional approaches. We present an updated lattice calculation of it in various kinematical configurations for all tensor structures and multiple lattice parameters in three dimensions, and in a subset of those...
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| Format: | Article |
| Language: | English |
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SciPost
2022-04-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.5.2.019 |
| _version_ | 1818394410093641728 |
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| author | Axel Maas, Milan Vujinović |
| author_facet | Axel Maas, Milan Vujinović |
| author_sort | Axel Maas, Milan Vujinović |
| collection | DOAJ |
| description | The three-gluon vertex has been found to be a vital ingredient in
non-perturbative functional approaches. We present an updated lattice
calculation of it in various kinematical configurations for all tensor
structures and multiple lattice parameters in three dimensions, and in a subset
of those in four dimensions, for SU(2) Yang-Mills theory in minimal Landau
gauge. In three dimensions an unambiguous zero crossing for the tree-level
form-factor is established, and consistency for all investigated form factors
with a power-like divergence towards the infrared is observed. Using very
coarse lattices this is even seen towards momenta as low as about 15 MeV. The
results in four dimensions are consistent with such a behavior, but do not yet
reach deep enough into the infrared to establish it. |
| first_indexed | 2024-12-14T06:00:45Z |
| format | Article |
| id | doaj.art-f629d451f74e49539b2224db4dd7b27e |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-12-14T06:00:45Z |
| publishDate | 2022-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-f629d451f74e49539b2224db4dd7b27e2022-12-21T23:14:27ZengSciPostSciPost Physics Core2666-93662022-04-015201910.21468/SciPostPhysCore.5.2.019More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensionsAxel Maas, Milan VujinovićThe three-gluon vertex has been found to be a vital ingredient in non-perturbative functional approaches. We present an updated lattice calculation of it in various kinematical configurations for all tensor structures and multiple lattice parameters in three dimensions, and in a subset of those in four dimensions, for SU(2) Yang-Mills theory in minimal Landau gauge. In three dimensions an unambiguous zero crossing for the tree-level form-factor is established, and consistency for all investigated form factors with a power-like divergence towards the infrared is observed. Using very coarse lattices this is even seen towards momenta as low as about 15 MeV. The results in four dimensions are consistent with such a behavior, but do not yet reach deep enough into the infrared to establish it.https://scipost.org/SciPostPhysCore.5.2.019 |
| spellingShingle | Axel Maas, Milan Vujinović More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions SciPost Physics Core |
| title | More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions |
| title_full | More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions |
| title_fullStr | More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions |
| title_full_unstemmed | More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions |
| title_short | More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions |
| title_sort | more on the three gluon vertex in su 2 yang mills theory in three and four dimensions |
| url | https://scipost.org/SciPostPhysCore.5.2.019 |
| work_keys_str_mv | AT axelmaasmilanvujinovic moreonthethreegluonvertexinsu2yangmillstheoryinthreeandfourdimensions |