1,434 research outputs found
Lattice Topological Field Theory on Non-Orientable Surfaces
The lattice definition of the two-dimensional topological quantum field
theory [Fukuma, {\em et al}, Commun.~Math.~Phys.\ {\bf 161}, 157 (1994)] is
generalized to arbitrary (not necessarily orientable) compact surfaces. It is
shown that there is a one-to-one correspondence between real associative
-algebras and the topological state sum invariants defined on such surfaces.
The partition and -point functions on all two-dimensional surfaces
(connected sums of the Klein bottle or projective plane and -tori) are
defined and computed for arbitrary -algebras in general, and for the the
group ring of discrete groups , in particular.Comment: Corrected Latex file, 39 pages, 28 figures available upon reques
Electroweak Phase Transition, Gravitational Waves and Dark Matter in Two Scalar Singlet Extension of The Standard Model
In this paper, the electroweak phase transition, the gravitational waves and
the dark matter issues are investigated in two scalar singlet extension of the
standard model. The detectability of the gravitational wave signals are
discussed by comparing the results with the sensitivity curves of
, , and
detectors. It is shown that the results support the recent reports on the dark
matter relic density by collaboration and the
direct detection experiment by
collaboration.Comment: 18 pages, 2 figures (4 subfigures), 4 tables, final version to match
the published versio
Mass of the Stabilized Radion in the Limit of Finite Quartic Coupling
We present an exact treatment of the modulus stabilization condition with the
general boundary conditions of the bulk scalar field in the Randall-Sundrum
model. We find analytical expressions for the value of the modulus and the mass
of the radion.Comment: 11 pages, 3 figures, Accepted for publication in AHE
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