Topological quantization of the free massive bosonic field

Details Topological quantization of the free massive bosonic field Topological quantization of the free massive bosonic field

2012-01-18

arxiv.org/abs/1201.3924v1

Physics

Mathematical Physics

16 pages, 4 figures

Scientific paper

We present the results of studding free massive bosonic fields under the formalism of topological quantization. First, we identify certain harmonic map as a geometric representation of this physical system. We take as a concrete example the case of free massive bosonic fields in two dimensions represented by the minimal embedding of a two dimensional surface into a pp-wave spacetime. We use this geometric representation to construct the fiber bundle corresponding to some specific field configurations and then find their topological spectra, defined as the integral of the Euler characteristic class. The integral of the Euler invariant turns out to be dependent on the order in which the variables are integrated. We discuss the results for some particular configurations and their consequences for the energy of the system.

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