2020/04/18 by Per Kraus, Stathis Megas, Allic Sivaramakrishnan
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Partition function (quantum field theory) #Quantum Chromodynamics and Particle Interactions #Quartic function #Scalar (mathematics) #Scalar field #Simple (philosophy) #Spacetime #Thermal #Type (biology) #hep-th
paper · pdf · doi:10.1007/jhep10(2020)149
35 pages
arxiv created 2020/04/18 · openalex created_date 2020/04/24 · openalex publication_date 2020/10/01 · arxiv updated 2020/12/02 · openalex updated_date 2026/08/05
A bstract 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.