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)