English

Relativistische Materie in zwei Raum-Zeit-Dimensionen

Mathematical Physics 2015-05-04 v2 math.MP

Abstract

Quantum field theory unifies concepts from quantum theory and from special relativity. Its mathematically rigorous description is quite intricate and is only partially understood; this is particularly true for the construction of operators corresponding to measurements at a space-time point or in a bounded space-time region. We explain this fact in simplified examples on 1+1 dimensional space-time, namely in so-called integrable models. We give a characterization of local operators by means of the analyticity properties of their coefficients in a certain series expansion. This also allows us to explicitly construct examples of local operators.

Keywords

Cite

@article{arxiv.1305.1463,
  title  = {Relativistische Materie in zwei Raum-Zeit-Dimensionen},
  author = {Henning Bostelmann},
  journal= {arXiv preprint arXiv:1305.1463},
  year   = {2015}
}

Comments

in German; 12 pages, 5 figures; as appeared in the proceedings of the symposium "Raum und Materie", Villigst, October 2012; references updated