Classical Yang-Mills equations invariant under subgroups of the conformal group without coupling to matter

2000 ◽  
Vol 77 (10) ◽  
pp. 751-767
Author(s):  
P Bracken
Keyword(s):  
Asymptotic Behaviour ◽  
Minkowski Space ◽  
Gauge Transformation ◽  
Conformal Group ◽  
Field Equations ◽  
Yang Mills ◽  
Mills Field

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

CLASSICAL YANG-MILLS-DIRAC SYSTEM WITH CONFORMAL SYMMETRY: A GEOMETRICAL ANALYSIS

1994 ◽  
Vol 09 (37) ◽  
pp. 3431-3444 ◽  
Author(s):  
J.-P. ANTOINE ◽  
L. DABROWSKI ◽  
I. MAHARA
Keyword(s):  
Minkowski Space ◽  
Gauge Group ◽  
Gauge Transformation ◽  
Conformal Symmetry ◽  
Conformal Group ◽  
Dirac System ◽  
Geometrical Analysis ◽  
Yang Mills ◽  
Dirac Equations

We consider classical Yang-Mills-Dirac equations on Minkowski space, with gauge group SU(2), and look for solutions invariant (up to a gauge transformation) under a four-dimensional subgroup of the conformal group. In each of the four different cases that we analyze, the equations admit non-Abelian solutions, but these cannot be obtained analytically. In addition, some cases admit solutions with chiral spinors that may be physically relevant. All these solutions are singular.

scholarly journals A MAXWELL-LIKE FORMULATION OF GRAVITATIONAL THEORY IN MINKOWSKI SPACE–TIME

2007 ◽  
Vol 16 (06) ◽  
pp. 1027-1041 ◽  
Author(s):  
EDUARDO A. NOTTE-CUELLO ◽  
WALDYR A. RODRIGUES
Keyword(s):  
Gravitational Field ◽  
Minkowski Space ◽  
Gravitational Theory ◽  
Space Time ◽  
Lorentzian Geometry ◽  
Field Equations ◽  
Yang Mills ◽  
Minkowski Space Time ◽  
Clifford Bundle ◽  
Gauge Fixing

Using the Clifford bundle formalism, a Lagrangian theory of the Yang–Mills type (with a gauge fixing term and an auto interacting term) for the gravitational field in Minkowski space–time is presented. It is shown how two simple hypotheses permit the interpretation of the formalism in terms of effective Lorentzian or teleparallel geometries. In the case of a Lorentzian geometry interpretation of the theory, the field equations are shown to be equivalent to Einstein's equations.

On the Einstein-Yang-Mills field equations in a plane symmetric universe

1984 ◽  
Vol 100 (8) ◽  
pp. 400-404
Author(s):  
Pranab Krishna Chanda ◽  
Dipankar Ray
Keyword(s):  
Field Equations ◽  
Plane Symmetric ◽  
Yang Mills ◽  
Mills Field

scholarly journals Covariant extrinsic gravity and the geometric origin of dark energy

2015 ◽  
Vol 24 (03) ◽  
pp. 1550027 ◽  
Author(s):  
S. Jalalzadeh ◽  
T. Rostami
Keyword(s):  
Dark Energy ◽  
Density Parameter ◽  
Field Equations ◽  
Yang Mills ◽  
Geometric Origin ◽  
Model Independent ◽  
Bulk Space ◽  
Mills Field ◽  
Matter Fields ◽  
Good Agreement

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.

Bifurcation in the Yang-Mills field equations with static sources

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

On the uniqueness of the Møller energy–momentum complex

1970 ◽  
Vol 48 (2) ◽  
pp. 225-228 ◽  
Author(s):  
Leopold Halpern ◽  
Milivoj J. Miketinac
Keyword(s):  
Cp Violation ◽  
Symmetric Case ◽  
Spherically Symmetric ◽  
Meson Field ◽  
Field Equations ◽  
Yang Mills ◽  
Momentum Complex ◽  
Mills Field

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.

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