THE BOSONIC SIGMA MODEL ON A TOROIDAL SURFACE
2004 ◽
Vol 19
(16)
◽
pp. 2713-2720
Keyword(s):
The nonlinear sigma model with a two-dimensional basis space and an n-dimensional target space is considered. Two different basis spaces are considered; the first is an 0(2)×0(2) subspace of the 0(2,2) projective space related to the Minkowski basis space, and the other is a toroidal space embedded into three-dimensional Euclidean space, characterized by radii R and r. The target space is taken to be an arbitrarily curved Riemannian manifold. One-loop dependence on the renormalization induced scale μ is shown in the toroidal basis space to be the same as in a flat or spherical basis space.
Keyword(s):
1993 ◽
Vol 08
(28)
◽
pp. 2677-2686
◽
2001 ◽
Vol 16
(25)
◽
pp. 1643-1650
◽
Keyword(s):
1990 ◽
Vol 48
(1)
◽
pp. 258-259
Keyword(s):
1998 ◽
Vol 25
(4)
◽
pp. 621-630
◽
Keyword(s):