14,805 research outputs found
Standard Model With Higgs As Gauge Field On Fourth Homotopy Group
Based upon a first principle, the generalized gauge principle, we construct a
general model with gauge symmetry, where
is the fourth homotopy group of the gauge group , by
means of the non-commutative differential geometry and reformulate the
Weinberg-Salam model and the standard model with the Higgs field being a gauge
field on the fourth homotopy group of their gauge groups. We show that in this
approach not only the Higgs field is automatically introduced on the equal
footing with ordinary Yang-Mills gauge potentials and there are no extra
constraints among the parameters at the tree level but also it most importantly
is stable against quantum correlation.Comment: 19 pages, Latex, ASITP-94-2
General Volume-Preserving Mechanical Systems
In this letter, we present the general form of equations that generate a
volume-preserving flow on a symplectic manifold (M, \omega). It is shown that
every volume-preserving flow has some 2-forms acting the role of the
Hamiltonian functions in the Hamiltonian mechanics and the ordinary Hamilton
equations are included as a special case with a 2-form \frac{1}{n-1} H \omega
where H is the corresponding Hamiltonian.Comment: Plain LaTeX, 13 pages, no figure
Brane worlds in gravity with auxiliary fields
Recently, Pani, Sotiriou, and Vernieri explored a new theory of gravity by
adding nondynamical fields, i.e., gravity with auxiliary fields [Phys. Rev. D
88, 121502(R) (2013)]. In this gravity theory, higher-order derivatives of
matter fields generically appear in the field equations. In this paper we
extend this theory to any dimensions and discuss the thick braneworld model in
five dimensions. Domain wall solutions are obtained numerically. The stability
of the brane system under the tensor perturbation is analyzed. We find that the
system is stable under the tensor perturbation and the gravity zero mode is
localized on the brane. Therefore, the four-dimensional Newtonian potential can
be realized on the brane.Comment: 7 pages, 4 figure
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