A first order system of differential equations is obtained for a covariant σ model defined on a Riemannian (or pseudo‐Riemannian) manifold of arbitrary dimension n. In the case of compact groups, i.e., SO(n), the first order system coincides with the one yielded by topological arguments. Our considerations hold true also for SO(p,q), p+q=n+1, invariance groups. The scale invariance of the problem is discussed.
A first order system of differential equations for covariant Ï models / Reina, C.; Martellini, M.; Sodano, P.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 20:12(1979), pp. 2619-2620.
A first order system of differential equations for covariant Ï models
Reina, C.;
1979-01-01
Abstract
A first order system of differential equations is obtained for a covariant σ model defined on a Riemannian (or pseudo‐Riemannian) manifold of arbitrary dimension n. In the case of compact groups, i.e., SO(n), the first order system coincides with the one yielded by topological arguments. Our considerations hold true also for SO(p,q), p+q=n+1, invariance groups. The scale invariance of the problem is discussed.File in questo prodotto:
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