22,273 research outputs found
Gravitation as a Super SL(2,C) Gauge Theory
We present a gauge theory of the super SL(2,C) group. The gauge potential is
a connection of the Super SL(2,C) group. A MacDowell-Mansouri type of action is
proposed where the action is quadratic in the Super SL(2,C) curvature and
depends purely on gauge connection. By breaking the symmetry of the Super
SL(2,C) topological gauge theory to SL(2,C), a metric is naturally defined.Comment: 4 pages, Proceedings of the 9th Marcel Grossmann Meeting, Rome, 2-8
July, 200
Quasi-Local "Conserved Quantities"
Using the Noether Charge formulation, we study a perturbation of the
conserved gravitating system. By requiring the boundary term in the variation
of the Hamiltonian to depend only on the symplectic structure, we propose a
general prescription for defining quasi-local ``conserved quantities'' (i.e. in
the situation when the gravitating system has a non-vanishing energy flux).
Applications include energy-momentum and angular momentum at spatial and null
infinity, asymptotically anti-deSitter spacetimes, and thermodynamics of the
isolated horizons.Comment: 4 pages, contribution to the proceedings of the 9th Marcel Grossmann
Meeting; typos correcte
Quantum Weakdynamics as an SU(3)_I Gauge Theory: Grand Unification of Strong and Electroweak Interactions
Quantum weakdynamics (QWD) as an SU(3)_I gauge theory with the Theta vacuum
term is considered to be the unification of the electroweak interaction as an
SU(2)_L x U(1)_Y gauge theory. The grand unification of SU(3)_I x SU(3)_C
beyond the standard model SU(3)_C x SU(2)_L x U(1)_Y is established by the
group SU(3)_I. The grand unified interactions break down to weak and strong
interactions at a new grand unification scale 10^{3} GeV, through dynamical
spontaneous symmetry breaking (DSSB); the weak and strong coupling constants
are the same, alpha_i = alpha_s ~ 0.12, at this scale. DSSB is realized by the
condensation of scalar fields, postulated to be spatially longitudinal
components of gauge bosons, instead of Higgs particles. Quark and lepton family
generation, the Weinberg angle sin^2 theta_W = 1/4, and the Cabbibo angle sin
theta_C = 1/4 are predicted. The electroweak coupling constants are alpha_z =
alpha_i/3, alpha_w = alpha_i/4, alpha_y = alpha_i/12, and alpha_e = alpha_i/16
= 1/137; there are symmetric isospin interactions.Comment: REVTeX, 20 pages, corrected typographic errors, revised Section I
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