2007/03/10 by H. Gottschalk, H Gottschalk
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Dipole #Perturbation theory (quantum mechanics) #Quantum #Quantum field theory #S-matrix #Scattering #Scattering theory #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:81T05 #msc:81T08
paper · pdf · doi:10.1088/1751-8113/40/31/032
published in Journal of Physics A Mathematical and Theoretical 40(31), 9643-9653 (Institute of Physics) · 13 pages
arxiv created 2007/03/10 · openalex publication_date 2007/07/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
In the present work, a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with an indefinite metric which asymptotically do not converge to free fields, but to free dipole fields. Also, we give explicit formulae for the (nontrivial) scattering matrix of dipole in- and out-fields for these models. Furthermore, we show how the related dipole degrees of freedom occur in the perturbation theory of certain two-dimensional models, e.g. massive sine-Gordon or sinh-Gordon models.