Lorentzian CFT 3-point functions in momentum space
Abstract In a conformal field theory, two and three-point functions of scalar operators and conserved currents are completely determined, up to constants, by conformal invariance. The expressions for these correlators in Euclidean signature are long known in position space, and were fully worked out...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)142 |
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| author | Teresa Bautista Hadi Godazgar |
| author_facet | Teresa Bautista Hadi Godazgar |
| author_sort | Teresa Bautista |
| collection | DOAJ |
| description | Abstract In a conformal field theory, two and three-point functions of scalar operators and conserved currents are completely determined, up to constants, by conformal invariance. The expressions for these correlators in Euclidean signature are long known in position space, and were fully worked out in recent years in momentum space. In Lorentzian signature, the position-space correlators simply follow from the Euclidean ones by means of the iϵ prescription. In this paper, we compute the Lorentzian correlators in momentum space and in arbitrary dimensions for three scalar operators by means of a formal Wick rotation. We explain how tensorial three-point correlators can be obtained and, in particular, compute the correlator with two identical scalars and one energy-momentum tensor. As an application, we show that expectation values of the ANEC operator simplify in this approach. |
| format | Article |
| id | doaj-art-7cdc8f99e0c44b00ad7921db985ea5c6 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-7cdc8f99e0c44b00ad7921db985ea5c62025-01-26T12:11:05ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113510.1007/JHEP01(2020)142Lorentzian CFT 3-point functions in momentum spaceTeresa Bautista0Hadi Godazgar1Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)Abstract In a conformal field theory, two and three-point functions of scalar operators and conserved currents are completely determined, up to constants, by conformal invariance. The expressions for these correlators in Euclidean signature are long known in position space, and were fully worked out in recent years in momentum space. In Lorentzian signature, the position-space correlators simply follow from the Euclidean ones by means of the iϵ prescription. In this paper, we compute the Lorentzian correlators in momentum space and in arbitrary dimensions for three scalar operators by means of a formal Wick rotation. We explain how tensorial three-point correlators can be obtained and, in particular, compute the correlator with two identical scalars and one energy-momentum tensor. As an application, we show that expectation values of the ANEC operator simplify in this approach.https://doi.org/10.1007/JHEP01(2020)142Conformal and W SymmetryConformal Field Theory |
| spellingShingle | Teresa Bautista Hadi Godazgar Lorentzian CFT 3-point functions in momentum space Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory |
| title | Lorentzian CFT 3-point functions in momentum space |
| title_full | Lorentzian CFT 3-point functions in momentum space |
| title_fullStr | Lorentzian CFT 3-point functions in momentum space |
| title_full_unstemmed | Lorentzian CFT 3-point functions in momentum space |
| title_short | Lorentzian CFT 3-point functions in momentum space |
| title_sort | lorentzian cft 3 point functions in momentum space |
| topic | Conformal and W Symmetry Conformal Field Theory |
| url | https://doi.org/10.1007/JHEP01(2020)142 |
| work_keys_str_mv | AT teresabautista lorentziancft3pointfunctionsinmomentumspace AT hadigodazgar lorentziancft3pointfunctionsinmomentumspace |