Massive poles in Lee-Wick quantum field theory

Abstract

Most discussions of propagators in Lee-Wick theories focus on the presence of two massive complex conjugate poles in the propagator. We show that there is in fact only one pole near the physical region, or in another representation three pole-like structures with compensating extra poles. The latter modified Lehmann representation is useful caculationally and conceptually only if one includes the resonance structure in the spectral integral.

arXiv comment10 pages, 8 figures. Version 2 has an improved drawing of Fig. 3

References in corpus (27)

• Agravity
• Making the Case for Conformal Gravity
• The Lee-Wick Standard Model
• Superrenormalizable quantum gravity with complex ghosts
• Aspects of Quadratic Gravity
• Quadratic Gravity
• Agravity up to infinite energy
• On the quantum field theory of the gravitational interactions
• Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
• Perturbative unitarity of Lee-Wick quantum field theory
• Ghost-free higher-derivative theory
• Low-energy effects in a higher-derivative gravity model with real and complex massive poles
• A QCD analogy for quantum gravity
• Naturalness and Dimensional Transmutation in Classically Scale-Invariant Gravity
• Gauge Assisted Quadratic Gravity: A Framework for UV Complete Quantum Gravity
• Classical and Quantum Dynamics of Higher-Derivative Systems
• Quadratic gravity: from weak to strong
• Short Distance Freedom of Quantum Gravity
• Quartic propagators, negative norms and the physical spectrum
• Interaction of Low - Energy Induced Gravity with Quantized Matter and Phase Transition Induced by Curvature
• Unitarity of loop diagrams for the ghost-like $1/(k^2-M_1^2)-1/(k^2-M_2^2)$ propagator
• Is the spin connection confined or condensed?
• Inducing the Einstein action in QCD-like theories
• A conformal model of gravitons
• Signs and Stability in Higher-Derivative Gravity
• Hilbert - Einstein Action from Induced Gravity coupled with Scalar Field
• Vertex Displacements for Acausal Particles: Testing the Lee-Wick Standard Model at the LHC

Cited by in corpus (12)

• Unitarity, stability and loops of unstable ghosts
• Non-perturbative unitarity and fictitious ghosts in quantum gravity
• A link that matters: Towards phenomenological tests of unimodular asymptotic safety
• Anatomy of a thermal black hole mimicker
• Not quite black holes as dark matter
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• Cornell potential in Kalb-Ramond scalar QED via Higgs mechanism
• Dark sector production and baryogenesis from not quite black holes
• Unitarity through PT symmetry in Quantum Quadratic Gravity
• Asymptotic safety and quantum gravity amplitudes
• Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
• Axion dark matter with not quite black hole domination