English

On the Carrollian Nature of the Light Front

High Energy Physics - Theory 2025-07-08 v2

Abstract

Motivated by recent advances in non-Lorentzian physics, we revisit the light-cone formulation of quantum field theories. We discuss some interesting subalgebras within the light-cone Poincar\'e algebra, with a key emphasis on the Carroll, Bargmann, and Galilean kinds. We show that theories on the light front possess a Hamiltonian of the magnetic Carroll type, thereby proposing a straightforward method for deriving magnetic Carroll Hamiltonian actions from Lorentzian field theories.

Keywords

Cite

@article{arxiv.2406.10353,
  title  = {On the Carrollian Nature of the Light Front},
  author = {Sucheta Majumdar},
  journal= {arXiv preprint arXiv:2406.10353},
  year   = {2025}
}

Comments

16 pages, 1 figure, 3 tables, minor modifications and references added, matches published version