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- W1640690670 abstract "We discuss euclidean topologically massive Wu-Yang type solutions of the Maxwell-Chern-Simons and the Yang-Mills-Chern-Simons theories. The most distinctive feature of these solutions is the existence of a natural scale of length which is determined by the topological mass. The topological mass is proportional to the square of the gauge coupling constant. We find the non-abelian solution by a SU(2) gauge transformation of the abelian magnetic monopole type solution. In the topologically massive electrodynamics the field strength locally determines the gauge potential modulo a closed term via the self-duality equation. We present the Hopf map including the topological mass. The Wu-Yang construction is based on patching up the local potentials by means of a gauge transformation which can be expressed in terms of the magnetic or the electric charges. We also discuss solutions with different first Chern numbers. There exists a fundamental scale of length over which the gauge function is single-valued and periodic for any integer in addition to the fact that it has a smaller period. The quantization of the topological mass reduces to the quantization of the inverse of the natural scale of length in units of the inverse of the fundamental length scale. We briefly discuss a stereographic view of the fibres in the Hopf map and also the Archimedes map and the holonomy of the gauge potential and the dual-field strength. We point out an analogy of the natural scale of length which is introduced by the topological mass with the Hall resistivity in the Hall effect." @default.
- W1640690670 created "2016-06-24" @default.
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- W1640690670 date "2006-10-30" @default.
- W1640690670 modified "2023-09-27" @default.
- W1640690670 title "Topologically massive gauge theory: Wu-Yang type solutions" @default.
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