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Topologically nontrivial sectors of the Maxwell field theory on algebraic curves

โœ Scribed by Franco Ferrari

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
842 KB
Volume
25
Category
Article
ISSN
0393-0440

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โœฆ Synopsis

In this paper a large family of nondegenerate metrics is derived on general algebraic curves. In this way, it is possible to treat many differential equations arising in quantum mechanics and field theories on Riemann surfaces as differential equations on the complex sphere. The case of the Maxwell field theories on curves with Z, group of automorphisms is studied in details. These curves are particularly important because they cover the entire moduli space spanned by the Riemann surfaces of genus x ( 2. All the classical solutions of the Maxwell equations are explicitly constructed. Also the examples of the scalar fields and of an electron immersed in a constant magnetic held will be briefly investigated. 0 1998 Elsevier Science B.V.

๐Ÿ“œ SIMILAR VOLUMES

On the Orbit Method for the Lie Algebra
On the Orbit Method for the Lie Algebra of Vector Fields on a Curve
โœ Rosane Ushirobira ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 326 KB

Let แ’„ be the Lie algebra of vector fields on an affine smooth curve โŒบ. Our goal is to establish an orbit method for แ’„. Since แ’„ is infinite-dimensional, we face some technical problems. Without having groups acting on แ’„, we try nevertheless to define the notion of ''orbits.'' So, we focus our attenti