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arXiv · 2507.01713

Energy momentum tensor correlators in $\phi^4$ theory II: The spin-two sector

Nikos Irges·Leonidas Karageorgos
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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.

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Nikos Irges, Leonidas Karageorgos. 2025-07-02. Energy momentum tensor correlators in $\phi^4$ theory II: The spin-two sector. https://arxiv.org/abs/2507.01713

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