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Quaternion structure on the moduli space of Yang-Mills connections

✍ Scribed by Mitsuhiro Itoh


Publisher
Springer
Year
1987
Tongue
English
Weight
742 KB
Volume
276
Category
Article
ISSN
0025-5831

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We study quantum stochastic parallel transport processes where the noise terms arise from quantum Brownian motion in Fock space and the connection is chosen to minimize the Yang-Mills functional on a Heisenberg module over the smooth algebra of the noncommutative two-torus. Each such process yields

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