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#### ANEC on stress-tensor states in perturbative λ φ4 theory

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2210.11365.pdf

(Preprint), 507KB

JHEP01(2023)097.pdf

(Publisher version), 404KB

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##### Citation

Bautista, T., & Casarin, L. (2023). ANEC on stress-tensor states in perturbative
λ φ4 theory.* Journal of High Energy Physics,* *2023*(1):
97. doi:10.1007/JHEP01(2023)097.

Cite as: https://hdl.handle.net/21.11116/0000-000B-51EE-E

##### Abstract

We evaluate the Average Null Energy Condition (ANEC) on momentum eigenstates

generated by the stress tensor in perturbative $\lambda \, \phi^4$ and general

spacetime dimension. We first compute the norm of the stress-tensor state at

second order in $\lambda$; as a by-product of the derivation we obtain the full

expression for the stress tensor 2-point function at this order. We then

compute the ANEC expectation value to first order in $\lambda$, which also

depends on the coupling of the stress-tensor improvement term $\xi$. We study

the bounds on these couplings that follow from the ANEC and unitarity at first

order in perturbation theory. These bounds are stronger than unitarity in some

regions of coupling space.

generated by the stress tensor in perturbative $\lambda \, \phi^4$ and general

spacetime dimension. We first compute the norm of the stress-tensor state at

second order in $\lambda$; as a by-product of the derivation we obtain the full

expression for the stress tensor 2-point function at this order. We then

compute the ANEC expectation value to first order in $\lambda$, which also

depends on the coupling of the stress-tensor improvement term $\xi$. We study

the bounds on these couplings that follow from the ANEC and unitarity at first

order in perturbation theory. These bounds are stronger than unitarity in some

regions of coupling space.