Global Symmetries and Renormalizability of Lee-Wick Theories
arXiv:1006.2800 · doi:10.1103/PhysRevD.82.035015
Abstract
In this paper we discuss the global symmetries and the renormalizibility of Lee-Wick scalar QED. In particular, in the "auxiliary-field" formalism we identify softly broken SO(1,1) global symmetries of the theory. We introduce SO(1,1) invariant gauge-fixing conditions that allow us to show in the two-field formalism directly that the number of superficially divergent amplitudes in a LW Abelian gauge theory is finite. To illustrate the renormalizability of the theory, we explicitly carry out the one-loop renormalization program in LW scalar QED and demonstrate how the counterterms required are constrained by the joint conditions of gauge- and SO(1,1)-invariance. We also compute the one-loop beta-functions in LW scalar QED and contrast them with those of ordinary scalar QED.
17 pages, 3 eps figures included. Incorporates suggestions by referee; title changed
References in corpus (15)
- The Lee-Wick Standard Model
- Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
- A Higher-Derivative Lee-Wick Standard Model
- Minimal Lee-Wick Extension of the Standard Model
- Searching for Lee-Wick Gauge Bosons at the LHC
- Electroweak Precision Data and the Lee-Wick Standard Model
- One-Loop Renormalization of Lee-Wick Gauge Theory
- Electroweak precision constraints on the Lee-Wick Standard Model
- Flavor Changing Neutral Currents in the Lee-Wick Standard Model
- Massive Vector Scattering in Lee-Wick Gauge Theory
- Higher-Derivative Lee-Wick Unification
- Unique Identification of Lee-Wick Gauge Bosons at Linear Colliders
- Constraints on the Lee-Wick Higgs Sector
- Vertex Displacements for Acausal Particles: Testing the Lee-Wick Standard Model at the LHC
- Custodial Isospin Violation in the Lee-Wick Standard Model
Cited by in corpus (25)
- Super-renormalizable or Finite Lee-Wick Quantum Gravity
- Causal approach for the electron-positron scattering in Generalized Quantum Electrodynamics
- Classically Scale Invariant Inflation, Supermassive WIMPs, and Adimensional Gravity
- Lorentz-violating scenarios in a thermal reservoir
- External Sources in Lee-Wick Theories
- Normalizability analysis of the generalized quantum electrodynamics from the causal point of view
- Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
- Ultraviolet Properties of the Higgs Sector in the Lee-Wick Standard Model
- A Conducting surface in Lee-Wick electrodynamics
- Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
- Higher order derivative operators as quantum corrections
- The point-charge self-energy in Lee-Wick Theories
- LHC Constraints on the Lee-Wick Higgs Sector
- BRST symmetry and fictitious parameters
- RG flows in Non-Perturbative Gauge-Higgs Unification II. Effective action for the Higgs phase near the quantum phase transition
- Nonminimal planar electrodynamics modified by higher-derivative terms
- Collider Bounds on Lee-Wick Higgs Bosons
- Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories
- Thermal effects of a photon gas with a deformed Heisenberg algebra
- Vacuum Polarization of Generalized Quantum Electrodynamics in the Heisenberg Picture
- Acausality from a Dark Sector
- UV-complete and stable Quintom Dark Energy models in the light of DESI DR2
- Generalized quantum electrodynamics: one-loop correction
- The Lee-Wick Extension of the Two-Higgs Doublet Model
- Planar generalized electrodynamics for one-loop amplitude in the Heisenberg picture