Ghost and Tachyon Free Propagation up to spin-3 in Lorentz Invariant Field Theories

Abstract

We complete the set of spin-projector operators for fields up to rank-3 by providing all operators connecting sectors with same spin and parity. In this way we can broaden the search for unitary and non-tachyonic particle propagation in quadratic lagrangian with inter-field mixing. We use the properties of projector algebra to reanalyze known theories and shed light towards new healthy ones. We do so with full control over the gauge constraints by working the form of the saturated propagator in an appropriate frame of reference.

arXiv commentAncillary file provided with the new mixing operators connecting different spin/parity sectors. v2: added references and cosmetic-induced changes. Content unchanged. v3: matches published PRD version. Mixing operators are now added in the appendix. Some verbose comments removed, original content stressed, results unchanged

References in corpus (44)

• Self-Interaction and Gauge Invariance
• Higher-Spin Gauge Theories in Four, Three and Two Dimensions
• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Partial Masslessness of Higher Spins in (A)dS
• Local BRST cohomology in the antifield formalism: I. General theorems
• Gauge Invariances and Phases of Massive Higher Spins in (A)dS
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• xPert: Computer algebra for metric perturbation theory
• Null Propagation of Partially Massless Higher Spins in (A)dS and Cosmological Constant Speculations
• Stability of Massive Cosmological Gravitons
• Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory
• Unitarity, stability and loops of unstable ghosts
• Hamiltonian analysis of spatially covariant gravity
• Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions
• The Invar Tensor Package
• Solution to the ghost problem in fourth order derivative theories
• Universal Limits on Massless High-Spin Particles
• Frame-like gauge invariant formulation for massive high spin particles
• A New Class of Ghost and Tachyon Free Metric Affine Gravities
• Scattering Amplitudes For All Masses and Spins
• On the mixed symmetry irreducible representations of the Poincare group in the BRST approach
• Quantum Gravity, Fakeons And Microcausality
• The Ultraviolet Behavior Of Quantum Gravity
• On spin 3 interacting with gravity
• Gauge invariant Lagrangian construction for massive higher spin fermionic fields
• Scalar-metric-affine theories: Can we get ghost-free theories from symmetry?
• General Poincaré gauge theory: Hamiltonian structure and particle spectrum
• Ghost and tachyon free Poincaré gauge theories: a systematic approach
• The particle spectrum of parity-violating Poincaré gravitational theory
• Physical content of Quadratic Gravity
• Consistent Interactions between Gauge Fields and Local BRST Cohomology : The Example of Yang-Mills Models
• BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields
• Dark matter of any spin -- an effective field theory and applications
• Quantum Noether Method
• Power-counting renormalizable, ghost-and-tachyon-free Poincaré gauge theories
• On-shell effective theory for higher-spin dark matter
• Ghost and tachyon free Weyl gauge theories: a systematic approach
• Quantum field theories of arbitrary-spin massive multiplets and Palatini quantum gravity
• Higher-spin particles at high-energy colliders
• Light-cone gauge approach to arbitrary spin fields, currents, and shadows
• FieldsX -- An extension package for the xAct tensor computer algebra suite to include fermions, gauge fields and BRST cohomology
• Unitarity of Singh-Hagen model in $D$ dimensions
• Massless Rarita-Schwinger field from a divergenceless anti-symmetric-tensor spinor of pure spin-$3/2$

Cited by in corpus (9)

• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• Metric-Affine Gravity as an Effective Field Theory
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• Radiatively stable ghost and tachyon freedom in Metric Affine Gravity
• Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
• Stability of non-degenerate Ricci-type Palatini theories
• Einstein-Proca theory from the Einstein-Cartan formulation
• Some simple theories of gravity with propagating torsion
• Massive Higher-Spin Multiplets and Asymptotic Freedom in Quantum Gravity