Details
| Original language | English |
|---|---|
| Article number | 425401 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 48 |
| Issue number | 42 |
| Publication status | Published - 21 Sept 2015 |
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.
Keywords
- adiabatic limit, moduli space, Yang Mills equations
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Statistics and Probability
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics A: Mathematical and Theoretical, Vol. 48, No. 42, 425401, 21.09.2015.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Yang-Mills moduli space in the adiabatic limit
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Publisher Copyright: � 2015 IOP Publishing Ltd. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2015/9/21
Y1 - 2015/9/21
N2 - 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.
AB - 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.
KW - adiabatic limit
KW - moduli space
KW - Yang Mills equations
UR - http://www.scopus.com/inward/record.url?scp=84945162209&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/48/42/425401
DO - 10.1088/1751-8113/48/42/425401
M3 - Article
AN - SCOPUS:84945162209
VL - 48
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 42
M1 - 425401
ER -