The causal approach proof for the equivalence of SDKP4 and SQED4 at tree-level

  title={The causal approach proof for the equivalence of SDKP4 and SQED4 at tree-level},
  author={Jos{\'e} Beltr{\'a}n and Bruto Max Pimentel and D. E. Soto},
  journal={International Journal of Modern Physics A},
The description of the electromagnetic interaction of charged spinless particles is usually formulated by the Scalar Quantum Electrodynamics. However, there is an alternative formulation given by the Duffin–Kemmer–Petiau theory: the Scalar DKP gauge theory. The proof of the equivalence between these two formulations has been discussed in many researches, but there is not yet a conclusive proof. In this paper, we initiate a complete proof in the framework of the Causal Perturbation theory… 

Causal perturbation theory approach to Yukawa’s model

Neutral Yukawa’s model for the description of the interaction between nucleons and pions is studied in the framework of causal perturbation theory, an axiomatic S-matrix quantum field theory in which

Quantum electrodynamics in the null-plane causal perturbation theory

We develop a complete formulation of quantum gauge invariance in light-front dynamics for interacting theories with massless vector gauge fields in the framework of null-plane causal perturbation

Null-plane causal perturbation theory

We reconstruct causal perturbation theory in a way compatible with light-front dynamics on the basis of Rohrlich’s invariant null-plane coordinatization. We show that, when the causality axiom is



On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations

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

Duffin-Kemmer-Petiau theory in the causal approach

In this paper we consider the scalar sector of Duffin–Kemmer–Petiau theory in the framework of Epstein–Glaser causal method. We calculate the lowest order distributions for Compton scattering, vacuum

Scalar QED revisited

SummaryScalar QED is investigated in the framework of causal perturbation theory. This approach which is ultraviolet finite differs from the conventional formalism because the inductive construction

Interacting fields in finite QED

SummaryIn the framework of the causal approach to QED, interacting fields are introduced by functional differentiation of theS-matrix. The properties of these field operators are studied in detail.

Radiative corrections for the gauged Thirring model in causal perturbation theory

Abstract. We evaluate the one-loop fermion self-energy for the gauged Thirring model in (2+1) dimensions, with one massive fermion flavor. We do this in the framework of the causal perturbation

Causal Approach to (2 + 1) - Dimensional QED

Abstract It is shown that the causal approach to (2 + 1)-dimensional quantum electrodynamics yields a well-defined perturbative theory. In particular, and in contrast to renormalized perturbative

The Radiation Theories of Tomonaga, Schwinger, and Feynman

A unified development of the subject of quantum electrodynamics is outlined, embodying the main features both of the Tomonaga-Schwinger and of the Feynman radiation theory. The theory is carried to a