Annales Henri Poincaré

, 10:1027 | Cite as

Topological Features of Massive Bosons on Two-Dimensional Einstein Space–Time

  • Romeo Brunetti
  • Lorenzo Franceschini
  • Valter Moretti
Article

Abstract

In this paper, we tackle the problem of constructing explicit examples of topological cocycles of Roberts’ net cohomology, as defined abstractly by Brunetti and Ruzzi. We consider the simple case of massive bosonic quantum field theory on the two-dimensional Einstein cylinder. After deriving some crucial results of the algebraic framework of quantization, we address the problem of the construction of the topological cocycles. All constructed cocycles lead to unitarily equivalent representations of the fundamental group of the circle (seen as a diffeomorphic image of all possible Cauchy surfaces). The construction is carried out using only Cauchy data and related net of local algebras on the circle.

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Copyright information

© Birkhäuser Verlag AG, Basel/Switzerland 2009

Authors and Affiliations

  • Romeo Brunetti
    • 1
    • 2
  • Lorenzo Franceschini
    • 1
  • Valter Moretti
    • 1
    • 2
    • 3
  1. 1.Dipartimento di MatematicaUniversità di TrentoTrentoItaly
  2. 2.Istituto Nazionale di Fisica NucleareGruppo Collegato di TrentoTrentoItaly
  3. 3.Istituto Nazionale di Alta Matematicaunità locale di TrentoTrentoItaly

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