ar X iv : h ep - t h / 97 12 08 9 v 1 1 0 D ec 1 99 7 Low - energy dynamics of a C P 1 lump on the sphere
نویسنده
چکیده
Low-energy dynamics in the unit-charge sector of the CP 1 model on spherical space (space-time S 2 × R) is treated in the approximation of geodesic motion on the moduli space of static solutions, a six-dimensional manifold with non-trivial topology and metric. The structure of the induced metric is restricted by consideration of the isometry group inherited from global symmetries of the full field theory. Evaluation of the metric is then reduced to finding five functions of one coordinate, which may be done explicitly. Some totally geodesic submanifolds are found and the qualitative features of motion on these described.
منابع مشابه
ar X iv : h ep - p h / 97 12 41 5 v 1 1 7 D ec 1 99 7 The ALLM parameterization of σ tot ( γ ∗ p ) an update
متن کامل
ar X iv : h ep - p h / 99 12 28 8 v 1 1 0 D ec 1 99 9 Lattice Calculations and Hadron Physics
متن کامل
ar X iv : h ep - t h / 97 07 10 1 v 1 1 0 Ju l 1 99 7 Lump dynamics in the C P 1 model on the torus
The topology and geometry of the moduli space, M2, of degree 2 static solutions of the CP 1 model on a torus (spacetime T 2 × R) are studied. It is proved that M2 is homeomorphic to the left coset space G/G0 where G is a certain eight-dimensional noncompact Lie group and G0 is a discrete subgroup of order 4. Low energy two-lump dynamics is approximated by geodesic motion on M2 with respect to a...
متن کاملar X iv : h ep - t h / 97 12 20 0 v 1 2 1 D ec 1 99 7 BPS Solutions in D = 5 Dilaton - Axion Gravity
We show that the D=5 dilaton-axion gravity compactified on a 2-torus possesses the SL(4,R)/SO(4) matrix formulation. It is used for construction of the SO(2,2)-invariant BPS solution depended on the one harmonic function. 1 [email protected] 2 [email protected]
متن کاملar X iv : h ep - t h / 97 12 17 5 v 1 1 7 D ec 1 99 7 GAUGE INVARIANCE FOR THE MASSIVE AXION
A massive gauge invariant formulation for scalar (φ) and antisymmetric (C mnp) fields with a topological coupling, which provides a mass for the axion field, is considered. The dual and local equivalence with the non-gauge invariant proposal is established, but on manifolds with non-trivial topological structure both formulations are not globally equivalent.
متن کامل