Asymptotic nonlocality in non-Abelian gauge theories

Abstract

Asymptotically nonlocal field theories represent a sequence of higher-derivative theories whose limit point is a ghost-free, infinite-derivative theory. Here, we extend previous work on pure scalar and Abelian gauge theories to asymptotically nonlocal non-Abelian theories. In particular, we confirm that there is a limit in which the Lee-Wick spectrum can be decoupled, but where the hierarchy problem is resolved via an emergent nonlocal scale that regulates loop diagrams and that is hierarchically smaller than the lightest Lee-Wick resonance.

18 pages, 1 figure, matches the published version; v1: 17 pages, 1 figure

References in corpus (8)

• The Lee-Wick Standard Model
• Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
• Classical and quantum stability of higher-derivative dynamics
• A Higher-Derivative Lee-Wick Standard Model
• Unitarity of Minkowski non-local theories made explicit
• Non-unitarity of Minkowskian non-local quantum field theories
• Asymptotic nonlocality in gauge theories
• Asymptotic nonlocality

Cited by in corpus (5)

• Quantum entanglement of masses with non-local gravitational interaction
• Asymptotically nonlocal gravity
• Fate of the false vacuum in string-inspired nonlocal field theory
• Smearing out contact terms in ghost-free infinite derivative quantum gravity
• Renormalisable Non-local Quark-Gluon Interaction: Mass Gap, Chiral Symmetry Breaking & Scale Invariance