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.

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 ATTRACTOR SOLUTION IN COUPLED YANG–MILLS FIELD DARK ENERGY MODELS

2009 ◽  
Vol 18 (09) ◽  
pp. 1331-1342 ◽  
Author(s):  
WEN ZHAO
Keyword(s):  
Dark Energy ◽  
Equation Of State ◽  
De Sitter ◽  
Yang Mills ◽  
Constraint Equations ◽  
Energy Models ◽  
Big Rip ◽  
Attractor Solution ◽  
The Universe ◽  
Mills Field

We investigate the attractor solution in the coupled Yang–Mills field dark energy models with the general interaction term, and obtain the constraint equations for the interaction if the attractor solution exists. The research also shows that, if the attractor solution exists, the equation of state of dark energy must evolve from wy > 0 to wy ≤ -1, which is slightly suggested by the observation. At the same time, the total equation of state in the attractor solution is w tot = -1, the universe is a de Sitter expansion, and the cosmic big rip is naturally avoided. These features are all independent of the interacting forms.

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.

scholarly journals One-Loop Renormalization of General Noncommutative Yang–Mills Field Model Coupled to Scalar and Spinor Fields

2003 ◽  
Vol 18 (17) ◽  
pp. 3057-3088 ◽  
Author(s):  
I. L. Buchbinder ◽  
V. A. Krykhtin
Keyword(s):  
Field Model ◽  
Coupling Constants ◽  
Noncommutative Field Theory ◽  
Yang Mills ◽  
Interaction Terms ◽  
Spinor Fields ◽  
Loop Approximation ◽  
The One ◽  
Mills Field ◽  
Matter Fields

We study the theory of noncommutative U (N) Yang–Mills field interacting with scalar and spinor fields in the fundamental and the adjoint representations. We include in the action both the terms describing interaction between the gauge and the matter fields and the terms which describe interaction among the matter fields only. Some of these interaction terms have not been considered previously in the context of noncommutative field theory. We find all counterterms for the theory to be finite in the one-loop approximation. It is shown that these counterterms allow to absorb all the divergencies by renormalization of the fields and the coupling constants, so the theory turns out to be multiplicatively renormalizable. In case of 1PI gauge field functions the result may easily be generalized on an arbitrary number of the matter fields. To generalize the results for the other 1PI functions it is necessary for the matter coupling constants to be adapted in the proper way. In some simple cases this generalization for a part of these 1PI functions is considered.

Null-tetrad formulation of the Yang-Mills field equations

1978 ◽  
Vol 45 (2) ◽  
pp. 310-334 ◽  
Author(s):  
M. Carmeli ◽  
Ch. Charac ◽  
M. Kaye
Keyword(s):  
Field Equations ◽  
Yang Mills ◽  
Null Tetrad ◽  
Tetrad Formulation ◽  
Mills Field

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

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