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Asymptotic expansion of the one-loop approximation of the Chern–Simons integral in an abstract Wiener space setting |
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| Authors: | Itaru Mitoma Seiki Nishikawa |
| Institution: | aDepartment of Mathematics, Saga University, 840-8502 Saga, Japan;bMathematical Institute, Tohoku University, 980-8578 Sendai, Japan |
| Abstract: | In an abstract Wiener space setting, we construct a rigorous mathematical model of the one-loop approximation of the perturbative Chern–Simons integral, and derive its explicit asymptotic expansion for stochastic Wilson lines. |
| Keywords: | Chern– Simons integral One-loop approximation Asymptotic expansion Abstract Wiener space Stochastic holonomy Stochastic Wilson line |
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