Preprint

PUBDB-2021-03327

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The old conformal bootstrap revisited

Liendo Cordova, P.DESY* ; Liu, Z.DESY* ; Rong, J. (Corresponding author)DESY*

2021

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Please use a persistent id in citations: doi:10.3204/PUBDB-2021-03327

Report No.: DESY-21-122; arXiv:2108.07295

Abstract: The 'old' conformal bootstrap was originally formulated by Migdal and Polyakov (MP) as a method for calculating conformal dimensions self-consistently. In this work we revisit the MP bootstrap and apply efficient multi-loop Feynman integral techniques in order to solve the corresponding equations. We obtain solutions at first order in the skeleton expansion for finite coupling and for integer values of the spacetime dimension. We focus in particular on the $\phi^3$ theory in seven dimensions and the $O(N)$ vector models in three dimensions.

Keyword(s): bootstrap: conformal ; Feynman graph ; dimension: 7 ; model: vector ; O(N) ; phi**n model: 3 ; numerical calculations

Note: 2 figures

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. Emmy Noether - Emmy Noether Nachwuchsgruppe (EmmyNoether) (EmmyNoether)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2021

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