Classical features, Anderson-Higgs mechanism, and unitarity in Lee-Wick pseudo-electrodynamics
arXiv:2411.00314 · doi:10.1103/PhysRevD.111.016009
Abstract
In this paper, the dimensional reduction is applied to the Lee-Wick electrodynamics in which the classical sources are confined on a spatial plane. As result, the Lee-Wick pseudo-electrodynamics is achieved as a non-local electromagnetism defined in dimensions. The abelian Anderson-Higgs mechanism is so introduced in the Lee-Wick pseudo-electrodynamics through a complex scalar sector in dimensions, breaking spontaneously the -gauge symmetry of the non-local theory. As consequence, the pseudo-Lee-Wick field acquires a light mass, beyond the usual heavy Lee-Wick mass, that is a natural mass parameter of the theory. After the spontaneous symmetry breaking takes place, classical features of the theory are discussed, as the Proca-Lee-Wick pseudo-electrodynamics, with the field equations and conservation laws. The introduction of Lee-Wick fermions also is proposed, in which it opens the discussion of a viable Proca-Lee-Wick pseudo-quantum electrodynamics in dimensions. The unitarity at the tree level of the Lee-Wick pseudo-electrodynamics is discussed through the Optical theorem.
arXiv comment11 pages, 1 figure
References in corpus (25)
- The electronic properties of graphene
- Topological Insulators
- Topological Field Theory of Time-Reversal Invariant Insulators
- Classification of topological quantum matter with symmetries
- How to detect fluctuating order in the high-temperature superconductors
- Interactions and phase transitions on graphene's honeycomb lattice
- QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
- The Lee-Wick Standard Model
- Coulomb interaction, ripples, and the minimal conductivity of graphene
- Excitonic gap, phase transition, and quantum Hall effect in graphene
- Quantum Electrodynamics of Particles on a Plane and the Chern-Simons Theory
- Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED
- Unitarity of theories containing fractional powers of the d'Alembertian operator
- Coulomb instabilities of 3D higher-order topological insulators
- Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene
- 3D scalar model as a 4D perfect conductor limit: dimensional reduction and variational boundary conditions
- Pseudo Quantum Electrodynamics and Chern-Simons theory Coupled to Two-dimensional Electrons
- Two-dimensional Yukawa interaction driven by a nonlocal-Proca quantum electrodynamics
- Algorithm for Probing the Unitarity of Topologically Massive Models
- Probing features of the Lee-Wick quantum electrodynamics
- Screening and Topological Order in Thin Superconducting Films
- Bounded particle interactions driven by a nonlocal dual Chern-Simons model
- Complex-mass shell renormalization of the higher-derivative electrodynamics
- Reduced QED with few planes and fermion gap generation
- Critical Behavior and Duality in Dimensionally Reduced Planar Chern-Simons Superconductors