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Phys. Rev. D 67, 025020 (2003) [11 pages]

Geometric approach to a massive p form duality

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Pío J. Arias*
Grupo de Campos y Partículas, Departamento de Física, Facultad de Ciencias, Universidad Central de Venezuela, AP 47270, Caracas 1041-A, Venezuela
Centro de Astrofísica Teórica, Facultad de Ciencias, Universidad de Los Andes, La Hechicera, Mérida 5101, Venezuela

Lorenzo Leal
Grupo de Campos y Partículas, Departamento de Física, Facultad de Ciencias, Universidad Central de Venezuela, AP 47270, Caracas 1041-A, Venezuela
Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco 28049, Madrid, Spain

J. C. Pérez-Mosquera
Grupo de Campos y Partículas, Departamento de Física, Facultad de Ciencias, Universidad Central de Venezuela, AP 47270, Caracas 1041-A, Venezuela

Received 2 October 2002; published 30 January 2003

Massive theories of Abelian p forms are quantized in a generalized path representation that leads to a description of the phase space in terms of a pair of dual nonlocal operators analogous to the Wilson loop and the ’t Hooft disorder operators. Special attention is devoted to the study of the duality between the topologically massive and self-dual models in 2+1 dimensions. It is shown that these models share a geometric representation in which just one nonlocal operator suffices to describe the observables.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.025020
DOI:
10.1103/PhysRevD.67.025020
PACS:
11.15.Tk

*Email address: parias@fisica.ciens.ucv.ve

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

Email address: jcperez@fisica.ciens.ucv.ve