Applications of dispersive sum rules: $\epsilon$-expansion and holography

We use Mellin space dispersion relations together with Polyakov conditions to derive a family of sum rules for Conformal Field Theories (CFTs). The defining property of these sum rules is suppression of the contribution of the double twist operators. Firstly, we apply these sum rules to the Wilson-F...

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Detalles Bibliográficos
Autores principales: Carmi, Dean, Penedones, Joao, Silva, Joao A., Zhiboedov, Alexander
Lenguaje:eng
Publicado: 2020
Materias:
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.21468/SciPostPhys.10.6.145
http://cds.cern.ch/record/2740495
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author Carmi, Dean
Penedones, Joao
Silva, Joao A.
Zhiboedov, Alexander
author_facet Carmi, Dean
Penedones, Joao
Silva, Joao A.
Zhiboedov, Alexander
author_sort Carmi, Dean
collection CERN
description We use Mellin space dispersion relations together with Polyakov conditions to derive a family of sum rules for Conformal Field Theories (CFTs). The defining property of these sum rules is suppression of the contribution of the double twist operators. Firstly, we apply these sum rules to the Wilson-Fisher model in $d=4-\epsilon$ dimensions. We re-derive many of the known results to order $\epsilon^4$ and we make new predictions. No assumption of analyticity down to spin $0$ was made. Secondly, we study holographic CFTs. We use dispersive sum rules to obtain tree-level and one-loop anomalous dimensions. Finally, we briefly discuss the contribution of heavy operators to the sum rules in UV complete holographic theories.
id cern-2740495
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2020
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spelling cern-27404952023-10-26T04:44:54Zdoi:10.21468/SciPostPhys.10.6.145http://cds.cern.ch/record/2740495engCarmi, DeanPenedones, JoaoSilva, Joao A.Zhiboedov, AlexanderApplications of dispersive sum rules: $\epsilon$-expansion and holographyhep-thParticle Physics - TheoryWe use Mellin space dispersion relations together with Polyakov conditions to derive a family of sum rules for Conformal Field Theories (CFTs). The defining property of these sum rules is suppression of the contribution of the double twist operators. Firstly, we apply these sum rules to the Wilson-Fisher model in $d=4-\epsilon$ dimensions. We re-derive many of the known results to order $\epsilon^4$ and we make new predictions. No assumption of analyticity down to spin $0$ was made. Secondly, we study holographic CFTs. We use dispersive sum rules to obtain tree-level and one-loop anomalous dimensions. Finally, we briefly discuss the contribution of heavy operators to the sum rules in UV complete holographic theories.We use Mellin space dispersion relations together with Polyakov conditions to derive a family of sum rules for Conformal Field Theories (CFTs). The defining property of these sum rules is suppression of the contribution of the double twist operators. Firstly, we apply these sum rules to the Wilson-Fisher model in $d=4-\epsilon$ dimensions. We re-derive many of the known results to order $\epsilon^4$ and we make new predictions. No assumption of analyticity down to spin $0$ was made. Secondly, we study holographic CFTs. We use dispersive sum rules to obtain tree-level and one-loop anomalous dimensions. Finally, we briefly discuss the contribution of heavy operators to the sum rules in UV complete holographic theories.arXiv:2009.13506CERN-TH-2020-162oai:cds.cern.ch:27404952020-09-28
spellingShingle hep-th
Particle Physics - Theory
Carmi, Dean
Penedones, Joao
Silva, Joao A.
Zhiboedov, Alexander
Applications of dispersive sum rules: $\epsilon$-expansion and holography
title Applications of dispersive sum rules: $\epsilon$-expansion and holography
title_full Applications of dispersive sum rules: $\epsilon$-expansion and holography
title_fullStr Applications of dispersive sum rules: $\epsilon$-expansion and holography
title_full_unstemmed Applications of dispersive sum rules: $\epsilon$-expansion and holography
title_short Applications of dispersive sum rules: $\epsilon$-expansion and holography
title_sort applications of dispersive sum rules: $\epsilon$-expansion and holography
topic hep-th
Particle Physics - Theory
url https://dx.doi.org/10.21468/SciPostPhys.10.6.145
http://cds.cern.ch/record/2740495
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AT penedonesjoao applicationsofdispersivesumrulesepsilonexpansionandholography
AT silvajoaoa applicationsofdispersivesumrulesepsilonexpansionandholography
AT zhiboedovalexander applicationsofdispersivesumrulesepsilonexpansionandholography

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