English

Infraparticles with superselected direction of motion in two-dimensional conformal field theory

Mathematical Physics 2017-09-26 v3 High Energy Physics - Theory math.MP Operator Algebras

Abstract

Particle aspects of two-dimensional conformal field theories are investigated, using methods from algebraic quantum field theory. The results include asymptotic completeness in terms of (counterparts of) Wigner particles in any vacuum representation and the existence of (counterparts of) infraparticles in any charged irreducible product representation of a given chiral conformal field theory. Moreover, an interesting interplay between the infraparticle's direction of motion and the superselection structure is demonstrated in a large class of examples. This phenomenon resembles the electron's momentum superselection expected in quantum electrodynamics.

Keywords

Cite

@article{arxiv.1101.5700,
  title  = {Infraparticles with superselected direction of motion in two-dimensional conformal field theory},
  author = {Wojciech Dybalski and Yoh Tanimoto},
  journal= {arXiv preprint arXiv:1101.5700},
  year   = {2017}
}

Comments

34 pages, no figure. The final version is available under Open Access. CC-BY