On Equivalence of Duffin-Kemmer-Petiau and Klein-Gordon Equations
arXiv:hep-th/9911219 · doi:10.1007/BF02551001
Abstract
A strict proof of equivalence between Duffin-Kemmer-Petiau (DKP) and Klein-Gordon (KG) theories is presented for physical S-matrix elements in the case of charged scalar particles interacting in minimal way with an external or quantized electromagnetic field. First, Hamiltonian canonical approach to DKP theory is developed in both component and matrix form. The theory is then quantized through the construction of the generating functional for Green functions (GF) and the physical matrix elements of S-matrix are proved to be relativistic invariants. The equivalence between both theories is then proved using the connection between GF and the elements of S-matrix, including the case of only many photons states, and for more general conditions - so called reduction formulas of Lehmann, Symanzik, Zimmermann.
arXiv comment23 pages, no figures, requires macro tcilatex
References in corpus (1)
Cited by in corpus (15)
- Asymptotic Iteration Method Solutions to the Relativistic Duffin-Kemmer-Petiau Equation
- VSR symmetries in the DKP algebra: the interplay between Dirac and Elko spinor fields
- On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential
- Interacting spin 0 fields with torsion via Duffin-Kemmer-Petiau theory
- Bose-Einstein Condensation and Free DKP field
- Spin 1 fields in Riemann-Cartan space-times "via" Duffin-Kemmer-Petiau theory
- Hamilton Operator and the Semiclassical Limit for Scalar Particles in an Electromagnetic Field
- Any J-state solution of the DKP equation for a vector deformed Woods-Saxon potential
- Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
- Splitting frequency of the (2+1)-dimensional Duffin-Kemmer-Petiau oscillator in an external magnetic field
- Approximate solution of the Duffin-Kemmer-Petiau equation for a vector Yukawa potential with arbitrary total angular momenta
- Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories
- Electromagnetic field at Finite Temperature: A first order approach
- Duffin-Kemmer-Petiau particle in a vector exponential-like decaying field with any arbitrary -state
- Equivalence of Many-Gluon Green Functions in Duffin-Kemmer-Petieu and Klein-Gordon-Fock Statistical Quantum Field Theories