Anomalous Dimensions from Thermal AdS Partition Functions
arXiv:2004.08635 · doi:10.1007/JHEP10(2020)149
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 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.
arXiv comment35 pages
References in corpus (35)
- Holography from Conformal Field Theory
- Writing CFT correlation functions as AdS scattering amplitudes
- Analyticity in Spin in Conformal Theories
- Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
- Spinning AdS Propagators
- Unitarity and the Holographic S-Matrix
- Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks
- Effective Conformal Theory and the Flat-Space Limit of AdS
- A Universal Inequality for CFT and Quantum Gravity
- A spacetime derivation of the Lorentzian OPE inversion formula
- Analyticity and the Holographic S-Matrix
- Gravitational S-matrix from CFT dispersion relations
- Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions
- Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
- Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling
- -dimensional SYK, AdS Loops, and Symbols
- The Operator Product Expansion of N=4 SYM and the 4-point Functions of Supergravity
- Graviton and gauge boson propagators in AdS(d+1)
- Partition functions and double-trace deformations in AdS/CFT
- Black hole determinants and quasinormal modes
- Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
- General Scalar Exchange in AdS_d+1
- Scattering in Anti-de Sitter Space and Operator Product Expansion
- Character Formulae and Partition Functions in Higher Dimensional Conformal Field Theory
- Harmonic Analysis and Mean Field Theory
- More Holography from Conformal Field Theory
- Unitarity Methods in AdS/CFT
- Recursion Relations in Witten Diagrams and Conformal Partial Waves
- The Heat Kernel on
- Non-protected operators in N=4 SYM and multiparticle states of AdS_5 SUGRA
- Anomalous Dimensions from Crossing Kernels
- Anomalous dimensions at finite conformal spin from OPE inversion
- Anomalous Dimensions of Non-Chiral Operators from AdS/CFT
- Propagators for massive symmetric tensor and p-forms in AdS(d+1)
- AdS Box Graphs, Unitarity and Operator Product Expansions
Cited by in corpus (7)
- Holographic Correlators at Finite Temperature
- Swampland Conditions for Higher Derivative Couplings from CFT
- The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
- Lining up a Positive Semi-Definite Six-Point Bootstrap
- On partition functions and phases of scalars in AdS
- Time-periodicities in holographic CFTs
- Phases of theories with fermions in AdS