Covariant measurements of chaos in chemical reaction dynamics

1995/06/30 by M. Chemtob, Jason R. Green, R. Stephen Berry +1
Computer Science · Mathematics · Physics and Astronomy · #Acoustics #Black Holes and Theoretical Physics #CHAOS (operating system) #Classical mechanics #Compactification (mathematics) #Computer science #Coupling constant #Covariant transformation #Dynamics (music) #Electroweak interaction #Hypercharge #Mathematical physics #Mathematics #Moduli #Nonlinear Dynamics and Pattern Formation #Orbifold #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization group #Statistical physics #Superstring theory #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.53.3920

published as Phys.Rev.D53:3920-3941,1996 · 24 pages. 2 figures. Revised version: Several misprints corrected. Few minor additions.

arxiv created 1995/07/18 · arxiv updated 2009/11/30 · openalex publication_date 2010/03/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/11

Abstract

The string one loop renormalization of the gauge coupling constants is examined in Abelian orbifold models. The contributions to string threshold corrections independent of the compactification moduli fields are evaluated numerically for several representative examples of orbifold models. We consider cases with standard and nonstandard embeddings as well as cases with discrete Wilson line background fields which match reasonably well with low energy phenomenology. The gap separating the observed grand unification scale M_GUT\ensuremath≃2\ifmmode×\else\texttimes\fi10¹⁶ GeV from the string unification scale M_X\ensuremath≃5\ifmmode×\else\texttimes\fi10¹⁷ GeV is discussed on the basis of standardlike orbifold models. We examine one loop gauge coupling constant unification in a description incorporating the combined effects of moduli-dependent and -independent threshold corrections, an adjustable affine level for the hypercharge group factor, and a large mass threshold associated with an anomalous U(1) mechanism. \textcopyright 1996 The American Physical Society.

Citations

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