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Phys. Rev. D 73, 065012 (2006) [8 pages]

Surface-invariants in 2D classical Yang-Mills theory

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Rafael Díaz*
Escuela de Matemáticas, Facultad de Ciencias, Universidad Central de Venezuela, AP 20513, Caracas 1020-A, Venezuela

E. Fuenmayor and Lorenzo Leal
Centro de Física Teórica y Computacional, Facultad de Ciencias, Universidad Central de Venezuela, AP 47270, Caracas 1041-A, Venezuela

Received 8 December 2005; published 10 March 2006

We study a method to obtain invariants under area-preserving diffeomorphisms associated to closed curves in the plane from classical Yang-Mills theory in two dimensions. Taking as starting point the Yang-Mills field coupled to nondynamical particles carrying chromo-electric charge, and by means of a perturbative scheme, we obtain the first two contributions to the on-shell action, which are area-invariants. A geometrical interpretation of these invariants is given.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.73.065012
DOI:
10.1103/PhysRevD.73.065012
PACS:
11.10.−z, 11.15.−q, 11.90.+t

*Electronic address: rdiaz@euler.ciens.ucv.ve

Electronic address: efuenma@fisica.ciens.ucv.ve

Electronic address: lleal@fisica.ciens.ucv.ve