NNLO anomalous dimension matrix for twist-two flavor-singlet operators
Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger 4−2ϵ space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the critical point vanish identically. We show that this property allows one t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-11-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322005433 |
| _version_ | 1797990916817944576 |
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| author | V.M. Braun K.G. Chetyrkin A.N. Manashov |
| author_facet | V.M. Braun K.G. Chetyrkin A.N. Manashov |
| author_sort | V.M. Braun |
| collection | DOAJ |
| description | Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger 4−2ϵ space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the critical point vanish identically. We show that this property allows one to calculate off-diagonal parts of the anomalous dimension matrices for leading-twist operators from a set of two-point correlation functions of gauge-invariant operators which can be evaluated using standard computer algebra techniques. As an illustration, we present the results for the NNLO anomalous dimension matrix for flavor-singlet QCD operators for spin N≤8. |
| first_indexed | 2024-04-11T08:43:17Z |
| format | Article |
| id | doaj.art-835fa14a2b8442fd9eb22fffc9ca6dc7 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-11T08:43:17Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-835fa14a2b8442fd9eb22fffc9ca6dc72022-12-22T04:34:02ZengElsevierPhysics Letters B0370-26932022-11-01834137409NNLO anomalous dimension matrix for twist-two flavor-singlet operatorsV.M. Braun0K.G. Chetyrkin1A.N. Manashov2Institut für Theoretische Physik, Universität Regensburg, Regensburg, D-93040, GermanyInstitut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie, Karlsruhe, D-76131, GermanyII. Institut für Theoretische Physik, Universität Hamburg, Hamburg, D-22761, Germany; Institut für Theoretische Physik, Universität Regensburg, Regensburg, D-93040, Germany; Corresponding author.Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger 4−2ϵ space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the critical point vanish identically. We show that this property allows one to calculate off-diagonal parts of the anomalous dimension matrices for leading-twist operators from a set of two-point correlation functions of gauge-invariant operators which can be evaluated using standard computer algebra techniques. As an illustration, we present the results for the NNLO anomalous dimension matrix for flavor-singlet QCD operators for spin N≤8.http://www.sciencedirect.com/science/article/pii/S0370269322005433Conformal symmetryAnomalous dimensionsDVCS |
| spellingShingle | V.M. Braun K.G. Chetyrkin A.N. Manashov NNLO anomalous dimension matrix for twist-two flavor-singlet operators Physics Letters B Conformal symmetry Anomalous dimensions DVCS |
| title | NNLO anomalous dimension matrix for twist-two flavor-singlet operators |
| title_full | NNLO anomalous dimension matrix for twist-two flavor-singlet operators |
| title_fullStr | NNLO anomalous dimension matrix for twist-two flavor-singlet operators |
| title_full_unstemmed | NNLO anomalous dimension matrix for twist-two flavor-singlet operators |
| title_short | NNLO anomalous dimension matrix for twist-two flavor-singlet operators |
| title_sort | nnlo anomalous dimension matrix for twist two flavor singlet operators |
| topic | Conformal symmetry Anomalous dimensions DVCS |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322005433 |
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