Field theory of massive and massless vector particles in the Duffin - Kemmer - Petiau formalism

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 non-dynamical 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.

arXiv comment20 pages, typos corrected, a reference added, journal version, accepted in Int.J.Mod.Phys.A

References in corpus (14)

• Remarks on Duffin-Kemmer-Petiau theory and gauge invariance
• QCD at large and short distances (annotated version)
• The Electromagnetic Coupling in Kemmer-Duffin-Petiau Theory
• Spin 1 fields in Riemann-Cartan space-times "via" Duffin-Kemmer-Petiau theory
• Massless DKP fields in Riemann-Cartan space-times
• Inconsistencies of a purported probability current in the Duffin-Kemmer-Petiau theory
• Solutions of Podolsky's Electrodynamics Equation in the First-Order Formalism
• "Square Root" of the Proca Equation: Spin-3/2 Field Equation
• Bosonic Fields with Two Mass and Spin States
• Conformal invariance of massless Duffin-Kemmer-Petiau theory in Riemannian space-times
• On First-Order Generalized Maxwell Equations
• Quantization of bosonic fields with two mass and spin states
• Higher Derivative Fermionic Field Equation in the First Order Formalism
• Note on Dirac--Kähler massless fields

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