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Anomalous dimensions from thermal AdS partition functions

Journal of High Energy Physics. 2020;2020(10):1-35 DOI 10.1007/JHEP10(2020)149

 

Journal Homepage

Journal Title: Journal of High Energy Physics

ISSN: 1029-8479 (Online)

Publisher: SpringerOpen

Society/Institution: International School for Advanced Studies (SISSA)

LCC Subject Category: Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity

Country of publisher: Germany

Language of fulltext: English

Full-text formats available: PDF

 

AUTHORS


Per Kraus (Mani L. Bhaumik Institute for Theoretical Physics, University of California)

Stathis Megas (Mani L. Bhaumik Institute for Theoretical Physics, University of California)

Allic Sivaramakrishnan (Department of Physics and Astronomy, University of Kentucky)

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 12 weeks

 

Abstract | Full Text

Abstract We develop an efficient method for computing thermal partition functions of weakly coupled scalar fields in AdS. We consider quartic contact interactions and show how to evaluate the relevant two-loop vacuum diagrams without performing any explicit AdS integration, the key step being the use of Källén-Lehmann type identities. This leads to a simple method for extracting double-trace anomalous dimensions in any spacetime dimension, recovering known first-order results in a streamlined fashion.