Abstract
Using a gauge-invariant characterization of monopoles defined via their centres, we investigate the generic topological field pattern for the three-dimensional Yang-Mills theory. This leads to field patterns with one-half winding number. After presenting the main features through the simpler case of half-vortices, we consider half-monopoles in detail.
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References
A M Polyakov,Nucl. Phys. B120, 429 (1977)
R Anishetty, P Majumdar and H S Sharatchandra,Phys. Lett. B478, 373 (2000)
E Harikumar, I Mitra and H S Sharatchandra,Topological field patterns of the Yang-Mills theory, hep-th/0212234;Phys. Lett. B557, 297 (2003)
G 't Hooft,Nucl. Phys. B190, 455 (1981)
G 't Hooft,Nucl. Phys. B79, 276 (1974)
A M Polyakov,JETP Lett. 20, 194 (1974)
P Goddard and D Olive,Rep. Prog. Phys. 41, 1357 (1978)
M K Prasad and C M Sommerfield,Phys. Rev. Lett. 35, 760 (1975)
E Harikumar, I Mitra and H S Sharatchandra,Half-monopoles and half-vortices in the Yang-Mills theory, hep-th/0301045;Phys. Lett. B557, 303 (2003)
P Majumdar and H S Sharatchandra,Phys. Rev. D63, 067701 (2001)
J Arafune, P G O Freund and C J Goebel,J. Math. Phys. 16, 433 (1975)
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Harikumar, E., Mitra, I. & Sharatchandra, H.S. Half-monopoles in the Yang-Mills theory. Pramana - J Phys 61, 961–965 (2003). https://doi.org/10.1007/BF02704465
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DOI: https://doi.org/10.1007/BF02704465