Publications at the Riemann Center

Yang-Mills moduli space in the adiabatic limit

authored by
Olaf Lechtenfeld, Alexander D. Popov
Abstract

We consider the Yang-Mills equations for a matrix gauge group G inside the future light cone of four-dimensional Minkowski space, which can be viewed as a Lorentzian cone over the three-dimensional hyperbolic space H3. Using the conformal equivalence of and the cylinder we show that, in the adiabatic limit when the metric on H3 is scaled down, classical Yang-Mills dynamics is described by geodesic motion in the infinite-dimensional group manifold of smooth maps from the boundary two-sphere into the gauge group G.

Organisation(s)
Institut für Theoretische Physik
Riemann Center for Geometry and Physics
Type
Artikel
Journal
Journal of Physics A: Mathematical and Theoretical
Volume
48
ISSN
1751-8113
Publication date
21.09.2015
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Statistische und nichtlineare Physik, Statistik und Wahrscheinlichkeit, Modellierung und Simulation, Mathematische Physik, Physik und Astronomie (insg.)
Electronic version(s)
https://doi.org/10.1088/1751-8113/48/42/425401 (Access: Unbekannt)