A new formulation of Lee-Wick quantum field theory
arXiv:1703.04584 · doi:10.1007/JHEP06(2017)066
Abstract
The Lee-Wick models are higher-derivative theories that are claimed to be unitary thanks to a peculiar cancelation mechanism. In this paper, we provide a new formulation of the models, to clarify several aspects that have remained quite mysterious, so far. Specifically, we define them as nonanalytically Wick rotated Euclidean theories. The complex energy plane is divided into disconnected regions, which can be related to one another by a well-defined, albeit nonanalytic procedure. Working in a generic Lorentz frame, the models are intrinsically equipped with the right recipe to treat the pinchings of the Lee-Wick poles, with no need of external ad hoc prescriptions. We describe these features in detail by calculating the one-loop bubble diagram and explaining how the key properties generalize to more complicated diagrams. The physical results of our formulation are different from those of the previous ones. The unusual behaviors of the physical amplitudes lead to interesting phenomenological predictions.
27 pages, 17 figures; v2: details about Lorentz invariance above LW thresholds; v3: minor changes, JHEP
References in corpus (3)
Cited by in corpus (80)
- Quadratic Gravity
- Fakeons And Lee-Wick Models
- Agravity up to infinite energy
- Perturbative unitarity of Lee-Wick quantum field theory
- Quantum Gravity, Fakeons And Microcausality
- Metastability in Quadratic Gravity
- The Ultraviolet Behavior Of Quantum Gravity
- Fakeons, Microcausality And The Classical Limit Of Quantum Gravity
- Neutrino oscillations in extended theories of gravity
- Dimensional Transmutation in Gravity and Cosmology
- Generalized ghost-free propagators in nonlocal field theories
- Casimir effect in quadratic theories of gravity
- Action principle selection of regular black holes
- Nonlocal generalization of Galilean theories and gravity
- The quest for purely virtual quanta: fakeons versus Feynman-Wheeler particles
- Higher-order regularity in local and nonlocal quantum gravity
- Fakeons and the classicization of quantum gravity: the FLRW metric
- New infra-red enhancements in 4-derivative gravity
- Ultraviolet-complete quantum field theories with fractional operators
- Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
- Anatomy of a thermal black hole mimicker
- Not quite black holes as dark matter
- On the contour prescriptions in string-inspired nonlocal field theories
- Renormalization Group in Six-derivative Quantum Gravity
- A fake doublet solution to the muon anomalous magnetic moment
- Light bending by a slowly rotating source in quadratic theories of gravity
- Newtonian potential in higher-derivative quantum gravity
- Fakeons and microcausality: light cones, gravitational waves and the Hubble constant
- Causality, unitarity, and indefinite metric in Maxwell-Chern-Simons extensions
- A new quantization principle from a minimally non time-ordered product
- Purely virtual particles versus Lee-Wick ghosts: physical Pauli-Villars fields, finite QED and quantum gravity
- Quantum field theories of arbitrary-spin massive multiplets and Palatini quantum gravity
- On quantum aspects of the higher-derivative Lorentz-breaking extension of QED
- Quantum field theory with ghost pairs
- Quintessence Dark Energy from strongly-coupled Higgs mass gap: Local and Non-local higher-derivative non-perturbative scenarios
- Visions in Quantum Gravity
- Reflection positivity in nonlocal gravity
- Nonminimal planar electrodynamics modified by higher-derivative terms
- Amplitude prescriptions in field theories with complex poles
- Asymptotic nonlocality in gauge theories
- Fakeons, unitarity, massive gravitons and the cosmological constant
- Asymptotic freedom and higher derivative gauge theories
- Path integral and conformal instability in nonlocal quantum gravity
- Asymptotically nonlocal gravity
- Massive Higher-Spin Multiplets and Asymptotic Freedom in Quantum Gravity
- Perturbation Spectra and Renormalization-Group Techniques in Double-Field Inflation and Quantum Gravity Cosmology
- Asymptotic nonlocality
- Interesting features of a general class of higher derivative theories of quantum gravity
- The point-charge self-energy in a nonminimal Lorentz violating Maxwell Electrodynamics
- Quantum field theory of physical and purely virtual particles in a finite interval of time on a compact space manifold: diagrams, amplitudes and unitarity
- Perturbative unitarity and higher-order Lorentz symmetry breaking
- Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings
- Stringballs and Planckballs for Dark Matter
- Propagators and widths of physical and purely virtual particles in a finite interval of time
- Dark sector production and baryogenesis from not quite black holes
- Representations of the fractional d'Alembertian and initial conditions in fractional dynamics
- Classicized dynamics and initial conditions in field theories with fakeons
- Discrete time heat kernel and UV modified propagators with Dimensional Deconstruction
- Topological defects in nonlocal field theories
- Radiative corrections to the and invariants from torsion fluctuations on maximally symmetric spaces
- Discrete heat kernel, UV modified Green's function, and higher derivative theories
- Algebraic cutting equations
- Purely Virtual Particles in Quantum Gravity, Inflationary Cosmology and Collider Physics
- Phenomenology of a Fake Inert Doublet Model
- Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach
- Quantum gravity with purely virtual particles from asymptotically local quantum field theory
- Optical theorem and indefinite metric in delta-theory
- Quantum fluctuation of stress tensor in a higher-derivative scalar field theory around a cosmic string
- Gauge theories and quantum gravity in a finite interval of time, on a compact space manifold
- Two-loop effective potential for general higher-derivative superfield models
- Is a covariant virtual tachyon viable?
- Diagrammar of physical and fake particles and spectral optical theorem
- The Hubble tension as an effect of the renormalization of fundamental constants and cosmological parameters
- Cosmology of fractional gravity
- Tree-level scattering amplitudes in nonlocal field theories
- Hawking area law in quantum gravity
- Diffusion method in field theories with fakeons
- Leading singularities in higher-derivative Yang-Mills theory and quadratic gravity
- On The Behavior Of Gravitational Force At Small Scales
- Acausal exact vacuum solutions in nonlocal gravity