Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT
Abstract In this paper we consider ϕ 4 theory in 4 − ϵ dimensions at the Wilson-Fisher fixed point where the theory becomes conformal. We extend the method in [1] for calculating the leading order term in the anomalous dimensions of some operators with spin. This method involves mostly symmetry argu...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2017)109 |
| _version_ | 1818178591468290048 |
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| author | Konstantinos Roumpedakis |
| author_facet | Konstantinos Roumpedakis |
| author_sort | Konstantinos Roumpedakis |
| collection | DOAJ |
| description | Abstract In this paper we consider ϕ 4 theory in 4 − ϵ dimensions at the Wilson-Fisher fixed point where the theory becomes conformal. We extend the method in [1] for calculating the leading order term in the anomalous dimensions of some operators with spin. This method involves mostly symmetry arguments and reduces the process for calculating anomalous dimensions to some Wick contractions in the corresponding free theory. We apply this method in the case of operators with two and three fields whose twist is equal to the number of fields they contain, and we rederive known results for their anomalous dimensions. We also calculate the leading term in the anomalous dimensions of operators with spin two and three. In addition, we find expressions for the primary operators of the free theory, for arbitrary spin and number of fields, whose twist remains equal to the number of fields. |
| first_indexed | 2024-12-11T20:50:25Z |
| format | Article |
| id | doaj.art-adac85d17f77448196cefbed296a057e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T20:50:25Z |
| publishDate | 2017-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-adac85d17f77448196cefbed296a057e2022-12-22T00:51:14ZengSpringerOpenJournal of High Energy Physics1029-84792017-07-012017712610.1007/JHEP07(2017)109Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFTKonstantinos Roumpedakis0C.N. Yang Institute for Theoretical Physics, Stony Brook UniversityAbstract In this paper we consider ϕ 4 theory in 4 − ϵ dimensions at the Wilson-Fisher fixed point where the theory becomes conformal. We extend the method in [1] for calculating the leading order term in the anomalous dimensions of some operators with spin. This method involves mostly symmetry arguments and reduces the process for calculating anomalous dimensions to some Wick contractions in the corresponding free theory. We apply this method in the case of operators with two and three fields whose twist is equal to the number of fields they contain, and we rederive known results for their anomalous dimensions. We also calculate the leading term in the anomalous dimensions of operators with spin two and three. In addition, we find expressions for the primary operators of the free theory, for arbitrary spin and number of fields, whose twist remains equal to the number of fields.http://link.springer.com/article/10.1007/JHEP07(2017)109Conformal and W SymmetryConformal Field Theory |
| spellingShingle | Konstantinos Roumpedakis Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory |
| title | Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT |
| title_full | Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT |
| title_fullStr | Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT |
| title_full_unstemmed | Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT |
| title_short | Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT |
| title_sort | leading order anomalous dimensions at the wilson fisher fixed point from cft |
| topic | Conformal and W Symmetry Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP07(2017)109 |
| work_keys_str_mv | AT konstantinosroumpedakis leadingorderanomalousdimensionsatthewilsonfisherfixedpointfromcft |