ANEC in $\lambda {\varphi }^4$ theory

Abstract

Motivated by the goal of applying the average null energy condition (ANEC) to renormalisation group flows, we calculate in $\lambda {\varphi }^4$ theory the expectation value of the ANEC operator in a particular scalar state perturbatively up to third order in the quartic coupling and verify the expected CFT answer. The work provides the technical tools for studying the expectation value of the ANEC operator in more interesting states, for example tensorial states relevant to the Hofman-Maldacena collider bounds, away from critical points.

Interpretation of the result is corrected, abstract modified accordingly. Comments and references added. 22 pages, no figures

References in corpus (3)

• Conformal collider physics: Energy and charge correlations
• Bounds for OPE coefficients on the Regge trajectory
• Analyticity and Causality in Conformal Field Theory

Cited by in corpus (1)

• ANEC on stress-tensor states in perturbative $\lambda {\varphi }^4$ theory