English   español  
Por favor, use este identificador para citar o enlazar a este item: http://hdl.handle.net/10261/9167
Compartir / Impacto:
Add this article to your Mendeley library MendeleyBASE
Citado 4 veces en Web of Knowledge®  |  Ver citas en Google académico
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar otros formatos: Exportar EndNote (RIS)Exportar EndNote (RIS)Exportar EndNote (RIS)

Abelian gerbes as a gauge theory of quantum mechanics on phase space

Autor Isidro, José M.; Gosson, Maurice A. de
Palabras clave Path-integral Duality
Schrödinger equation
[PACS] General structures of groups
[PACS] Algebraic topology
[PACS] Algebraic methods
Fecha de publicación 30-mar-2007
EditorInstitute of Physics Publishing
Citación Journal of Physics A - Mathematical and Theoretical 40(13): 3549-3567 (2007)
ResumenWe construct a U(1) gerbe with a connection over a finite-dimensional, classical phase space P. The connection is given by a triple of forms A, B, H: a potential 1-form A, a Neveu-Schwarz potential 2-form B, and a field-strength 3-form H = dB. All three of them are defined exclusively in terms of elements already present in P, the only external input being Planck's constant h. U(1) gauge transformations acting on the triple A, B, H are also defined, parametrized either by a 0-form or by a 1-form. While H remains gauge invariant in all cases, quantumness versus classicality appears as a choice of 0-form gauge for the 1-form A. The fact that [H]/2πi is an integral class in de Rham cohomology is related to the discretization of symplectic area on P. This is an equivalent, coordinate-free reexpression of Heisenberg's uncertainty principle. A choice of 1-form gauge for the 2-form B relates our construction to generalized complex structures on classical phase space. Altogether this allows one to interpret the quantum mechanics corresponding to P as an Abelian gauge theory.
Descripción 19 pages, 1 figure.-- PACS nrs.: 02.20.Bb, 02.40.Re, 03.65.Fd.-- ISI Article Identifier: 000245037900017.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-th/0608087
Versión del editorhttp://dx.doi.org/10.1088/1751-8113/40/13/016
URI http://hdl.handle.net/10261/9167
Aparece en las colecciones: (IFIC) Artículos
Ficheros en este ítem:
Fichero Descripción Tamaño Formato  
0608087v1.pdf193,17 kBAdobe PDFVista previa
Mostrar el registro completo

NOTA: Los ítems de Digital.CSIC están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.