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

@article{Beltrn2018TheCA, 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}, year={2018} }

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…

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## References

SHOWING 1-10 OF 48 REFERENCES

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

- Physics
- 2000

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

- Mathematics
- 2002

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…

### The Epstein-Glaser causal approach to the Light-Front QED 4 . II: Vacuum Polarization tensor

- Physics
- 2014

### Scalar QED revisited

- Physics
- 1993

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

- Philosophy
- 1990

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

- Physics
- 2000

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

- Physics
- 1994

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

- Physics
- 1949

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…