810 research outputs found
Fubini vacua as a classical de Sitter vacua
The Fubini's idea to introduce a fundamental scale of hadron phenomena by
means of dilatation non-invariant vacuum state in the frame work of a scale
invariant Lagrangian field theory is recalled. The Fubini vacua is invariant
under the de Sitter subgroup of the full conformal group. We obtain a finite
entropy for the quantum state corresponding to the classical Fubini vacua in
Euclidean space-time resembeling the entropy of the de Sitter vacua. In
Minkowski space-time it is shown that the Fubini vacua is mainly a bath of
radiation with Rayleigh-Jeans distribution for the low energy radiation. In
four dimensions, the critical scalar theory is shown to be equivalent to the
Einstein field equation in the ansatz of conformally flat metrics and to the
SU(2) Yang-Mills theory in the 't Hooft ansatz. In D-dimensions, the Hitchin
formula for the information geometry metric of the moduli space of instantons
is used to obtain the information geometry of the free-parameter space of the
Fubini vacua which is shown to be a (D+1)-dimensional AdS space. Considering
the Fubini vacua as a de Sitter vacua, the corresponding cosmological constant
is shown to be given by the coupling constant of the critical scalar theory. In
Minkowski spacetime it is shown that the Fubini vacua is equivalent to an open
FRW universe.Comment: 15 pages, revtex4, to appear in Mod.Phys.Lett.
Massive Spinors and dS/CFT Correspondence
Using the map between free massless spinors on d+1 dimensional Minkowski
spacetime and free massive spinors on , we obtain the boundary term
that should be added to the standard Dirac action for spinors in the dS/CFT
correspondence. It is shown that this map can be extended only to theories with
vertex ({\bar\p}\p)^2 but arbitrary . In the case of scalar field
theories such an extension can be made only for with vertices
, and respectively
Classification of constraints using chain by chain method
We introduce "chain by chain" method for constructing the constraint
structure of a system possessing both first and second class constraints. We
show that the whole constraints can be classified into completely irreducible
first or second class chains. We found appropriate redefinition of second class
constraints to obtain a symplectic algebra among them.Comment: 23 pages, to appear in Int. J. Mod. Phys.
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