English

Dynamical group approach to conformal field theory

High Energy Physics - Theory 2025-07-04 v1

Abstract

We propose a purely group-theoretical method for describing the S-matrix in quantum field theory with dynamical symmetry. In this approach, the Heisenberg S-matrix in a QFT with dynamical symmetry is an intertwining operator between unitary representations of the underlining dynamical group acting in Hilbert spaces spanned by the 'in' and 'out' states. As application we consider scalar Euclidean QFT with conformal symmetry.

Keywords

Cite

@article{arxiv.2507.02786,
  title  = {Dynamical group approach to conformal field theory},
  author = {G. A. Kerimov},
  journal= {arXiv preprint arXiv:2507.02786},
  year   = {2025}
}
R2 v1 2026-07-01T03:45:15.964Z