English

Nonperturbative quantum corrections

Mathematical Physics 2011-09-20 v4 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory math.MP Rings and Algebras

Abstract

A nonperturbative quantization procedure based on a nonassociative decomposition of quantum field operators on nonassociative constituents is considered. It is shown that such approach gives rise to quantum corrections by calculations of expectation values of nonlinear functions of field operators. The corrections can in principle be measured as a radius of a force, characteristic length of nonlocal objects, the failure of connection compatibility with metric, and so on. The system of gravity interacting with Maxwell electromagnetism is considered. It is shown that quantum corrections from gravitoelectric coupling of a certain form leads to vanishing singularities of a point charge, including infinite self-energy.

Keywords

Cite

@article{arxiv.1002.0180,
  title  = {Nonperturbative quantum corrections},
  author = {Vladimir Dzhunushaliev},
  journal= {arXiv preprint arXiv:1002.0180},
  year   = {2011}
}

Comments

changes in the text and acknowledgment is added

R2 v1 2026-06-21T14:41:45.507Z