1991/11/20 by Gregory Moore, M. Ronen Plesser, Sanjaye Ramgoolam · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Constraint (computer-aided design) #Geometry #Mathematical physics #Mathematics #Matrix (chemical analysis) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #S-matrix #Scattering #Scattering amplitude #Simple (philosophy) #Statistical physics #String (physics) #String theory #Theoretical physics #Unitarity #Unitary matrix #Unitary state #hep-th
paper · pdf · doi:10.1016/0550-3213(92)90020-c
published as Nucl.Phys.B377:143-190,1992 · 42pp
arxiv created 1991/11/20 · openalex publication_date 1992/06/01 · arxiv updated 2011/04/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We formulate simple graphical rules which allow explicit calculation of nonperturbative c = 1 S-matrices. This allows us to investigate the constraint of nonperturbative unitarity, which indeed rules out some theories. Nevertheless, we show that there is an infinite parameter family of nonperturbatively unitary c = 1 S-matrices. We investigate the dependence of the S-matrix on one of these nonperturbative parameters. In particular, we study the analytic structure, background dependence and high-energy behavior of some nonperturbative c = 1 S-matrices. The scattering amplitudes display interesting resonant behavior both at high energies and in the complex energy plane.