Phys. Rev. D 66, 105027 (2002) [5 pages]Space of signed points and the self-dual modelReceived 21 June 2002; published 27 November 2002 We study a generalization of the group of loops that is based on sets of signed points, instead of paths or loops. This geometrical setting incorporates the kinematical constraints of the sigma model, inasmuch as the group of loops does with Bianchi identities of Yang-Mills theories. We employ an Abelian version of this construction to quantize the self-dual model, which allows us to relate this theory with that of a massless scalar field obeying nontrivial boundary conditions. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.105027
DOI:
10.1103/PhysRevD.66.105027
PACS:
11.15.-q, 05.30.Pr
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