Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2021)132
Keywords
Anomalies in Field and String Theories; Conformal Field Theory; Renormalization Group
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Funding
- STFC [ST/P000258/1, ST/T000759/1]
- International Max Planck Research School for Mathematical and Physical Aspects of Gravitation, Cosmology and Quantum Field Theory
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme [740209]
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Motivated by the goal of applying the average null energy condition (ANEC) to renormalisation group flows, this research calculates the expectation value of the ANEC operator in a particular scalar state perturbatively in lambda phi (4) theory, up to third order in the quartic coupling. The study verifies the expected CFT answer and provides technical tools for studying the expectation value of the ANEC operator in more interesting states, such as tensorial states relevant to the Hofman-Maldacena collider bounds.
Motivated by the goal of applying the average null energy condition (ANEC) to renormalisation group flows, we calculate in lambda phi (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.
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