Anyonic physical observables and spin phase transition

Hyun Seok Yang; Bum-Hoon Lee

doi:10.1103/physrevd.59.105007

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arXiv · hep-th/9809134

Anyonic physical observables and spin phase transition

Hyun Seok Yang·Bum-Hoon Lee

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Abstract

The quantization of charged matter system coupled to Chern-Simons gauge fields is analyzed in a covariant gauge fixing, and gauge invariant physical anyon operators satisfying fractional statistics are constructed in a symmetric phase, based on Dirac's recipe performed on QED. This method provides us a definite way of identifying physical spectrums free from gauge ambiguity and constructing physical anyon operators under a covariant gauge fixing. We then analyze the statistical spin phase transition in a symmetry-broken phase and show that the Higgs mechanism transmutes an anyon satisfying fractional statistics into a canonical boson, a spin 0 Higgs boson or a topologically massive photon.

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Hyun Seok Yang, Bum-Hoon Lee. 1998-09-23. Anyonic physical observables and spin phase transition. https://doi.org/10.1103/physrevd.59.105007

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