English

Quantum Gravity without General Relativity

General Physics 2008-04-17 v1

Abstract

The quantum field theory of gravitation is constructed in terms of Lagrangian density of Dirac fields which couple to the electromagnetic field AμA_\mu as well as the gravitational field G\cal G. The gravity appears in the mass term as m(1+gG)ψˉψ m(1+g {\cal G}) \bar{\psi}\psi with the coupling constant of gg. In addition to the gravitational force between fermions, the electromagnetic field AμA_\mu interacts with the gravity as the fourth order effects and its strength amounts to α\alpha times the gravitational force. Therefore, the interaction of photon with gravity is not originated from Einstein's general relativity which is entirely dependent on the unphysical assumption of the principle of equivalence. Further, we present a renormalization scheme for the gravity and show that the graviton stays massless.

Keywords

Cite

@article{arxiv.0804.2518,
  title  = {Quantum Gravity without General Relativity},
  author = {Takehisa Fujita},
  journal= {arXiv preprint arXiv:0804.2518},
  year   = {2008}
}

Comments

15 pages, 1figure

R2 v1 2026-06-21T10:31:24.744Z