Gauge Theoretic Approach to Fluid Dynamics: Non-minimal Mhd and Extended Space Quantization
نویسنده
چکیده
The principle of local gauge invariance is introduced in the study of the Hamiltonian dynamics of a compressible inviscid fluid. In the first part of the paper, a novel gauging of the global symmetries is proposed which is both non-minimal and non-linear. The resulting MHD is analysed in detail. In the second part, the free fluid model is embedded in an extended space in the Batalin-Tyutin framework and the induced gauge theory is analysed. Relativistic generalizations are also discussed for both the cases. PACS Numders: 11.15.-q, 47.65.+a
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