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Anomalous Dimensions from Thermal AdS Partition Functions

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arxiv 2004.08635 v1 pith:RO6I5KUB submitted 2020-04-18 hep-th

Per Kraus , Stathis Megas , Allic Sivaramakrishnan This is my paper · ORCID
classification hep-th
keywords anomalousdimensionsfunctionsmethodpartitionthermalcomputingconsider
verification ladder T0 review T1 audit T2 compute T3 formal
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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 Kallen-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.

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  1. Neumann scalars in AdS: partition functions and phases

    hep-th 2026-07 conditional novelty 6.0 of 10

    Neumann scalars in AdS admit one-loop partition functions obtained by contour deformation from the Dirichlet result; the stricter unitarity bound then yields qualitatively different phase diagrams that are corroborate...

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