3,609 research outputs found
Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length
We calculate the statistical entropy of a scalar field on the background of
(2+1)-dimensional de Sitter space without an artificial cutoff considering
corrections to all orders in the Planck length from a generalized uncertainty
principle (GUP) on the quantum state density. The desired entropy proportional
to the horizon perimeter is obtained.Comment: 10 pages, two references adde
Lagrangian approach to local symmetries and self-dual model in gauge invariant formulation
Taking the St\"uckelberg Lagrangian associated with the abelian self-dual
model of P.K. Townsend et al as a starting point, we embed this mixed first-
and second-class system into a pure first-class system by following
systematically the generalized Hamiltonian approach of Batalin, Fradkin and
Tyutin. The resulting Lagrangian possesses an extended gauge invariance and
provides a non-trivial example for a general Lagrangian approach to unravelling
the full set of local symmetries of a Lagrangian.Comment: LaTeX, 15 page
Topological Massive Gauge Theories in Three Dimensions Based on the Faddeev-Jackiw Formalism
We quantize the (2+1)-dimensional self-dual and Maxwell-Chern-Simons theories
by using the Faddeev-Jackiw formulation and compare the results with those of
the Dirac formalism.Comment: 13 Pages, latex, no figure
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