Energy momentum tensor correlators in ϕ⁴ theory II: The spin-two sector

2025/07/02 by Nikos Irges, Irges, Nikos, Leonidas Karageorgos +1
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2507.01713

Abstract

We extend the computation of the C_T charge of the 2-point function of the Energy-Momentum Tensor to 4-loops. We show that C_T decomposes into two sectors, the conformal sector, which encodes the value of the central charge at fixed points and an RG-sector that contains logarithmic and constant corrections proportional to the beta-function. This latter constitutes the main new result of this work and is inaccessible via CFT methods alone. Furthermore, we demonstrate that C_T satisfies an eigenvalue-like equation analogous to that of the spin-0 charge, as discussed in part I, though with a different in general eigenvalue. Finally we present three possible applications.

Citations

• Energy-Momentum tensor correlators in ϕ⁴ theory I: The spin-zero sector
• Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Non-gaussian features of primordial fluctuations in single field inflationary models
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• A new improved energy-momentum tensor

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