Journal of Geometry and Symmetry in Physics

Topological Quantization of Free Massive Bosonic Fields

Gustavo Arciniega, Francisco Nettel, Leonardo Patino, and Hernando Quevedo

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Abstract

We present the results of studying free massive bosonic fields under the formalism of topological quantization. We identify certain harmonic maps as a geometric configuration equivalent to the classical system. We take as a concrete example the case of free massive bosonic fields in two dimensions, and construct the fiber bundle representing them and find its topological spectra. We found that the appearance of singularities in Euler's two form caused its integral to be dependent on the order in which the variables are integrated. We discuss the implications of this orientation dependency and formulate a well-defined expression for the Euler invariant emerging from it.

Article information

Source
J. Geom. Symmetry Phys., Volume 26 (2012), 1-12.

Dates
First available in Project Euclid: 25 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.jgsp/1495699223

Digital Object Identifier
doi:10.7546/jgsp-26-2012-1-12

Mathematical Reviews number (MathSciNet)
MR2986249

Zentralblatt MATH identifier
1262.81174

Citation

Arciniega, Gustavo; Nettel, Francisco; Patino, Leonardo; Quevedo, Hernando. Topological Quantization of Free Massive Bosonic Fields. J. Geom. Symmetry Phys. 26 (2012), 1--12. doi:10.7546/jgsp-26-2012-1-12. https://projecteuclid.org/euclid.jgsp/1495699223


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