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  The Hamiltonian Analysis for Yang-Mills Theory on RxS2

Agarwal, A., & Nair, V. P. (2009). The Hamiltonian Analysis for Yang-Mills Theory on RxS2. Nuclear Physics B, 816, 117-138. doi:doi:10.1016/j.nuclphysb.2009.03.007.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4582-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4585-C
Genre: Journal Article

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 Creators:
Agarwal, Abhishek1, Author
Nair, V. P., Author
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1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24016              

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 Abstract: Pure Yang-Mills theory on RxS2 is analyzed in a gauge-invariant Hamiltonian formalism. Using a suitable coordinatization for the sphere and a gauge-invariant matrix parametrization for the gauge potentials, we develop the Hamiltonian formalism in a manner that closely parallels previous analysis on {\mathbb R}3. The volume measure on the physical configuration space of the gauge theory, the nonperturbative mass-gap and the leading term of the vacuum wave functional are discussed using a point-splitting regularization. All the results carry over smoothly to known results on {\mathbb R}3 in the limit in which the sphere is de-compactified to a plane.

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 Dates: 2009
 Publication Status: Published in print
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 Identifiers: eDoc: 367173
Other: arXiv:0807.2131
DOI: doi:10.1016/j.nuclphysb.2009.03.007
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Title: Nuclear Physics B
Source Genre: Journal
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Pages: - Volume / Issue: 816 Sequence Number: - Start / End Page: 117 - 138 Identifier: -