3,109 research outputs found
On the semiclassical mass of -kinks
One-loop mass shifts to the classical masses of stable kinks arising in a
massive non-linear -sigma model are computed. Ultraviolet
divergences are controlled using the heat kernel/zeta function regularization
method. A comparison between the results achieved from exact and
high-temperature asymptotic heat traces is analyzed in depth.Comment: RevTex file, 15 pages, 2 figures. Version to appear in Journal of
Physics
On domain walls in a Ginzburg-Landau non-linear S^2-sigma model
The domain wall solutions of a Ginzburg-Landau non-linear -sigma hybrid
model are unveiled. There are three types of basic topological walls and two
types of degenerate families of composite - one topological, the other
non-topological- walls. The domain wall solutions are identified as the finite
action trajectories (in infinite time) of a related mechanical system that is
Hamilton-Jacobi separable in sphero-conical coordinates. The physical and
mathematical features of these domain walls are thoroughly discussed.Comment: 26 pages, 18 figure
Contractions of Filippov algebras
We introduce in this paper the contractions of -Lie (or
Filippov) algebras and show that they have a semidirect
structure as their Lie algebra counterparts. As an example, we compute
the non-trivial contractions of the simple Filippov algebras. By
using the \.In\"on\"u-Wigner and the generalized Weimar-Woods contractions of
ordinary Lie algebras, we compare (in the simple case)
the Lie algebras Lie (the Lie algebra of inner endomorphisms
of ) with certain contractions
and of
the Lie algebra Lie associated with .Comment: plain latex, 36 pages. A few misprints corrected. This v3 is actually
v2 (v1 had been replaced by itself by error). To appear in J. Math. Phy
- …