Quantum field theories of arbitrary-spin massive multiplets and Palatini quantum gravity
arXiv:2006.01163 · doi:10.1007/JHEP07(2020)176
Abstract
We formulate quantum field theories of massive fields of arbitrary spins. The presence of both physical and fake particles, organized into multiplets, makes it possible to fulfill the requirements of locality, unitarity and renormalizability at the same time. The theories admit cubic and quartic self-interactions and can be coupled to quantum gravity and gauge fields. The simplest irreducible bosonic and fermionic multiplets are made of towers of alternating physical and fake particles. Their mass spectrum is constrained by RG invariant relations and depends on just one or two masses. The fixed points of the renormalization-group flow are scale invariant, but not necessarily conformal invariant. The Palatini version of quantum gravity with fakeons is equivalent to the non-Palatini one coupled to a peculiar multiplet of order 3. As a consequence, it is equally renormalizable and unitary.
arXiv comment34 pages; v2: references added, JHEP
References in corpus (33)
- Resummation of Massive Gravity
- Generalization of the Fierz-Pauli Action
- Bimetric Gravity from Ghost-free Massive Gravity
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- Superheavy dark matter
- Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
- CMB-S4 Science Book, First Edition
- Ghosts in Massive Gravity
- On the gravitational production of superheavy dark matter
- Light-Front Higher-Spin Theories in Flat Space
- Recent developments in bimetric theory
- The Higgs Phenomenon in Quantum Gravity
- Fakeons And Lee-Wick Models
- Quantum Chiral Higher Spin Gravity
- On the quantum field theory of the gravitational interactions
- A New Class of Ghost and Tachyon Free Metric Affine Gravities
- A new formulation of Lee-Wick quantum field theory
- Quantum Gravity, Fakeons And Microcausality
- The Ultraviolet Behavior Of Quantum Gravity
- Oscillating Spin-2 Dark Matter
- Fakeons, Microcausality And The Classical Limit Of Quantum Gravity
- Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term
- Unitarization from Geometry
- The quest for purely virtual quanta: fakeons versus Feynman-Wheeler particles
- 4D Higher Spin Gravity with Dynamical Two-Form as a Frobenius--Chern--Simons Gauge Theory
- Aspects of perturbative unitarity
- Large-N expansion, conformal field theory and renormalization-group flows in three dimensions
- Irreversibility and higher-spin conformal field theory
- Fakeons and microcausality: light cones, gravitational waves and the Hubble constant
- Frobenius-Chern-Simons gauge theory
- Propagation of a massive spin-3/2 particle
- "Integrability" of RG flows and duality in three dimensions in the 1/N expansion
Cited by in corpus (10)
- Metric-Affine Gravity as an Effective Field Theory
- Dimensional Transmutation in Gravity and Cosmology
- Dark matter of any spin -- an effective field theory and applications
- Radiatively stable ghost and tachyon freedom in Metric Affine Gravity
- Ghost and Tachyon Free Propagation up to spin-3 in Lorentz Invariant Field Theories
- Purely virtual particles versus Lee-Wick ghosts: physical Pauli-Villars fields, finite QED and quantum gravity
- Massive Higher-Spin Multiplets and Asymptotic Freedom in Quantum Gravity
- Purely Virtual Particles in Quantum Gravity, Inflationary Cosmology and Collider Physics
- Parity from gauge symmetry
- Conformal gauge theory of vector-spinors and spin-3/2 particles