Quantum Field Theory Without Divergence A

TL;DR

This paper introduces a novel quantum field theory framework that eliminates divergences, naturally sets the vacuum energy to zero, and proposes a new electroweak model with potential implications for dark matter and universe expansion.

Contribution

It presents a new Lagrangian and quantization method for QED that ensures convergent Feynman integrals without regularization, and develops a symmetric electroweak model with implications for cosmology.

Findings

All Feynman integrals are convergent without regularization.

Vacuum energy naturally equals zero, aiding cosmological constant estimation.

Proposes W-matter as dark matter or universe expansion driver.

Abstract

On the basis a new conjecture, we present a new Lagrangian density and a new quantization method for QED, construct coupling operators and mass operators, derive scattering operators S_{f} and S_{w} which are dependent on each other and supplement new Feynman rules. S_{f} and S_{w} together determine a Fenman integral. Hence all Feynman integrals are convergent and it is unnecessary to introduce regularization and counterterms. That the energy of the vacuum state is equal to zero is naturally obtained. From this we can easily determine the cosmological constant according to data of astronomical observation, and it is possible to correct nonperturbational methods which depend on the energy of the ground state in quantum field theory. On the same basis as the new QED, we obtain naturally a new SU(2)XU(1) electroweak unified model whose L=L_{F}+L_{W} , here L is left-right symmetric. Thus the world is left-right symmetric in principle, but the part observed by us is asymmetric because L_{W} and L_{F} are all asymmetic. This model do not contain any unknown particle with a massive mass. A conjecture that there is repulsion or gravitation between the W-particles and the F-particles is presented. If the new interaction is gravitation, W-matter is the candidate for dark matter. If the new interaction is repulsion, W-matter is the origin of universe expansion.