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Taming the ϵ-expansion with large spin perturbation theory

Abstract:

We apply analytic bootstrap techniques to the four-point correlator of fundamental fields in the Wilson-Fisher model. In an ϵ-expansion crossing symmetry fixes the double discontinuity of the correlator in terms of CFT data at lower orders. Large spin perturbation theory, or equivalently the recently proposed Froissart-Gribov inversion integral, then allows one to reconstruct the CFT data of intermediate operators of any spin. We use this method to compute the anomalous dimensions and OPE coe...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/JHEP07(2018)131

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Hertford College
Role:
Author
ORCID:
0000-0001-8379-6822
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-3153-9186
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-0129-1757
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Name:
Royal Society
Grant:
WM120036
Wolfson Royal Society Research Merit Award
Funding agency for:
Alday, L
More from this funder
Name:
Engineering and Physical Sciences Research Council
Funding agency for:
Van Loon, M
Grant:
Studentship
More from this funder
Name:
European Research Council
Grant:
306260
More from this funder
Name:
European Commission
Grant:
306260
Publisher:
Springer
Journal:
Journal of High Energy Physics More from this journal
Volume:
2018
Issue:
7
Pages:
131
Publication date:
2018-07-19
Acceptance date:
2018-07-11
DOI:
EISSN:
1029-8479
ISSN:
1029-8479
Keywords:
Pubs id:
pubs:892120
UUID:
uuid:b7b16ea8-bfad-44fa-9c98-beef9e65b215
Local pid:
pubs:892120
Source identifiers:
892120
Deposit date:
2018-09-10

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