FIELD THEORY OF MASSIVE AND MASSLESS VECTOR PARTICLES IN THE DUFFIN–KEMMER–PETIAU FORMALISM

2010/09/30 by S. I. Kruglov, S. I. KRUGLOV · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Canonical quantization #Formalism (music) #Hamiltonian (control theory) #Hamiltonian formalism #Massive particle #Massless particle #Nonlinear Waves and Solitons #Propagator #Quantization (signal processing) #Quantum and Classical Electrodynamics #Vector field #hep-th #math-ph #math.MP

paper · pdf · doi:10.1142/s0217751x11053523

published as Int.J.Mod.Phys.A26:2487-2501,2011 · 20 pages, typos corrected, a reference added, journal version, accepted in Int.J.Mod.Phys.A

openalex publication_date 2011/05/30 · arxiv created 2011/05/31 · arxiv updated 2011/06/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Field theory of massive and massless vector particles is considered in the first-order formalism. The Hamiltonian form of equations is obtained after the exclusion of nondynamical components. We obtain the canonical and symmetrical Belinfante energy–momentum tensors and their nonzero traces. We note that the dilatation symmetry is broken in the massive case but in the massless case the modified dilatation current is conserved. The canonical quantization is performed and the propagator of the massive fields is found in the Duffin–Kemmer–Petiau formalism.

Citations

• The particle aspect of meson theory
• The electromagnetic coupling in Kemmer-Duffin-Petiau theory
• On first-order generalized Maxwell equations
• BOSONIC FIELDS WITH TWO MASS AND SPIN STATES
• Regularization and renormalization of gauge fields

Cited by

• Hawking radiation of vector particles via tunneling from 4-dimensional and 5-dimensional black holes
• Black hole emission of vector particles in (1+1) dimensions