General Poincaré gauge theory: Hamiltonian structure and particle spectrum

Abstract

Basic aspects of the Hamiltonian structure of the parity-violating Poincaré gauge theory are studied. We found all possible primary constraints, identified the corresponding critical parameters, and constructed the generic form of the canonical Hamiltonian. In addition to being important in their own right, these results offer dynamical information that is essential for a proper understanding of the particle spectrum of the theory, calculated in the weak field approximation around the Minkowski background.

LaTEx, 36 pages; v2 minor revisions

References in corpus (6)

• Torsion Cosmology and the Accelerating Universe
• Poincare gauge theory of gravity: Friedman cosmology with even and odd parity modes. Analytic part
• The particle spectrum of parity-violating Poincaré gravitational theory
• Gravitational waves in Poincaré gauge gravity theory
• Generalized plane waves in Poincaré gauge theory of gravity
• Generalized pp waves in Poincaré gauge theory

Cited by in corpus (40)

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• Instabilities in Metric-Affine Theories of Gravity
• Ghost and tachyon free Poincaré gauge theories: a systematic approach
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• Revisiting the Stability of Quadratic Poincaré Gauge Gravity
• Matter matters in Einstein-Cartan gravity
• Fundamental Symmetries and Spacetime Geometries in Gauge Theories of Gravity: Prospects for Unified Field Theories
• Radiatively stable ghost and tachyon freedom in Metric Affine Gravity
• Exact Solutions in Poincaré Gauge Gravity Theory
• Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
• Premetric teleparallel theory of gravity and its local and linear constitutive law
• An axiomatic purification of gravity
• Generalized Birkhoff theorem in the Poincaré gauge gravity theory
• Ghost and Tachyon Free Propagation up to spin-3 in Lorentz Invariant Field Theories
• Cosmological Perturbation Theory in Metric-Affine Gravity
• Consistent inflationary cosmology from quadratic gravity with dynamical torsion
• Stability of non-degenerate Ricci-type Palatini theories
• General relativity as a special case of Poincaré gauge gravity
• Supercomputers against strong coupling in gravity with curvature and torsion
• Mapping Poincaré gauge cosmology to Horndeski theory for emergent dark energy
• Einstein-Proca theory from the Einstein-Cartan formulation
• Entropy of Reissner-Nordström-like black holes
• Inflation in the general Poincaré gauge cosmology
• Paths to gravitation via the gauging of parameterized field theories
• Conservation of energy-momentum of matter as the basis for the gauge theory of gravitation
• Gravitational waves in metric-affine gravity theory
• Hamiltonian approach to black hole entropy: Kerr-like spacetimes
• Einstein-Cartan-Dirac gravity with $U(1)$ symmetry breaking
• Linear and Second-order Geometry Perturbations on Spacetimes with Torsion
• Hamiltonian formulation of gravity as a spontaneously-broken gauge theory of the Lorentz group
• Non-linearly ghost-free higher curvature gravity
• Regular black hole from a confined spin connection in Poincare gauge gravity
• Parity violation in Poincaré gauge gravity
• Geometric multipliers and partial teleparallelism in Poincaré gauge theory
• Hamiltonian analysis of metric-affine-$R^2$ theory
• Cosmological Constant, Inflaton, and Dark Matter all Naturally Originated from Poincaré Gauge Gravity
• Thermodynamics of Kerr-AdS black holes in general Poincaré gauge theory
• Higgs-Dilaton Inflation in Einstein-Cartan gravity
• A Non-Geometrodynamic Quantum Yang-Mills Theory of Gravity Based on the Homogeneous Lorentz Group
• New effective theories of gravitation and their phenomenological consequences