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Noncommutative Yang-Mills from equivalence of star products

✍ Scribed by B. Jurčo; P. Schupp

Book ID
106260596
Publisher
Springer-Verlag
Year
2000
Tongue
English
Weight
85 KB
Volume
14
Category
Article
ISSN
1434-6044

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Stochastic evolution of Yang-Mills conne
Stochastic evolution of Yang-Mills connections on the noncommutative two-torus
✍ David Applebaum 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 288 KB

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