Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
Landau-Khalatnikov-Fradkin transformations (LKFTs) yield the gauge dependence of correlation functions within the class of linear covariant gauges. We derive the LKFT for the quark propagator and explicitly evaluate it up to the two loop level in the chiral limit. Although the number of diagrams to...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321321003035 |
| _version_ | 1818398790884786176 |
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| author | P. Dall'Olio T. De Meerleer D. Dudal S.P. Sorella A. Bashir |
| author_facet | P. Dall'Olio T. De Meerleer D. Dudal S.P. Sorella A. Bashir |
| author_sort | P. Dall'Olio |
| collection | DOAJ |
| description | Landau-Khalatnikov-Fradkin transformations (LKFTs) yield the gauge dependence of correlation functions within the class of linear covariant gauges. We derive the LKFT for the quark propagator and explicitly evaluate it up to the two loop level in the chiral limit. Although the number of diagrams to be evaluated is significantly larger than with the conventional computational scheme, the diagrams are simpler in nature, thereby leading to a considerably faster evaluation of the gauge dependent part than naively expected. Finally, we also resum the LKFT generated terms and compare our results with earlier work in the literature. |
| first_indexed | 2024-12-14T07:10:23Z |
| format | Article |
| id | doaj.art-6d85e3d20a324964b1b5e52922625671 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-14T07:10:23Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-6d85e3d20a324964b1b5e529226256712022-12-21T23:11:53ZengElsevierNuclear Physics B0550-32132021-12-01973115606Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagatorP. Dall'Olio0T. De Meerleer1D. Dudal2S.P. Sorella3A. Bashir4Centro de Ciencias Matemáticas, Unam - Campus Morelia, Antigua Carretera a Pátzcuaro 8701, Col. Ex Hacienda San José de la Huerta Morelia, Michoacán 58089, Mexico; Corresponding author.KU Leuven Campus Kortrijk–Kulak, Department of Physics, Etienne Sabbelaan 53 bus 7657, 8500 Kortrijk, BelgiumKU Leuven Campus Kortrijk–Kulak, Department of Physics, Etienne Sabbelaan 53 bus 7657, 8500 Kortrijk, Belgium; Ghent University, Department of Physics and Astronomy, Krijgslaan 281-S9, 9000 Gent, BelgiumInstituto de Física Teórica, Rua São Francisco Xavier 524, 20550-013, Maracanã, Rio de Janeiro, BrazilInstituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, Morelia, Michoacán 58040, MexicoLandau-Khalatnikov-Fradkin transformations (LKFTs) yield the gauge dependence of correlation functions within the class of linear covariant gauges. We derive the LKFT for the quark propagator and explicitly evaluate it up to the two loop level in the chiral limit. Although the number of diagrams to be evaluated is significantly larger than with the conventional computational scheme, the diagrams are simpler in nature, thereby leading to a considerably faster evaluation of the gauge dependent part than naively expected. Finally, we also resum the LKFT generated terms and compare our results with earlier work in the literature.http://www.sciencedirect.com/science/article/pii/S0550321321003035 |
| spellingShingle | P. Dall'Olio T. De Meerleer D. Dudal S.P. Sorella A. Bashir Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator Nuclear Physics B |
| title | Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator |
| title_full | Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator |
| title_fullStr | Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator |
| title_full_unstemmed | Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator |
| title_short | Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator |
| title_sort | landau khalatnikov fradkin transformations for the two loop massless quark propagator |
| url | http://www.sciencedirect.com/science/article/pii/S0550321321003035 |
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