scholarly journals Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map

1985 ◽  
Vol 100 (2) ◽  
pp. 311-311 ◽  
Author(s):  
Bernard Grossman ◽  
Thomas W. Kephart ◽  
James D. Stasheff
1984 ◽  
Vol 96 (4) ◽  
pp. 431-437 ◽  
Author(s):  
Bernard Grossman ◽  
Thomas W. Kephart ◽  
James D. Stasheff

1984 ◽  
Vol 100 (8) ◽  
pp. 400-404
Author(s):  
Pranab Krishna Chanda ◽  
Dipankar Ray

2015 ◽  
Vol 24 (03) ◽  
pp. 1550027 ◽  
Author(s):  
S. Jalalzadeh ◽  
T. Rostami

In this paper, we construct the covariant or model independent induced Einstein–Yang–Mills field equations on a four-dimensional brane embedded isometrically in an D-dimensional bulk space, assuming the matter fields are confined to the brane. Applying this formalism to cosmology, we derive the generalized Friedmann equations. We derive the density parameter of dark energy in terms of width of the brane, normal curvature radii and the number of extra large dimensions. We show that dark energy could actually be the manifestation of the local extrinsic shape of the brane. It is shown that the predictions of this model are in good agreement with observation if we consider an 11-dimensional bulk space.


1987 ◽  
Vol 36 (8) ◽  
pp. 2527-2531 ◽  
Author(s):  
C. H. Oh ◽  
Rajesh R. Parwani

1970 ◽  
Vol 48 (2) ◽  
pp. 225-228 ◽  
Author(s):  
Leopold Halpern ◽  
Milivoj J. Miketinac

Møller's tetrad energy–momentum complex is made unique by introducing a suitable Yang–Mills field. The field equations are given and solved approximately for the spherically symmetric case. The simplest couplings to the K0 meson field are analyzed and it is shown that they cannot be used to resolve the CP violation.


1978 ◽  
Vol 45 (2) ◽  
pp. 310-334 ◽  
Author(s):  
M. Carmeli ◽  
Ch. Charac ◽  
M. Kaye

2000 ◽  
Vol 77 (10) ◽  
pp. 751-767
Author(s):  
P Bracken

Classical Yang-Mills field equations on Minkowski space with gaugegroup SU(2) are determined. Solutions invariant up to a gauge transformation under a four-dimensional subgroup of the conformal group are evaluated for the Yang-Mills field in the absence of matter. Some properties of the solutions of the equations such as their asymptotic behaviour are obtained.PACS No.: 03.50-z


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