A stochastic variational condition for the Maxwell connections (Q1570246)
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scientific article; zbMATH DE number 1471666
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A stochastic variational condition for the Maxwell connections |
scientific article; zbMATH DE number 1471666 |
Statements
A stochastic variational condition for the Maxwell connections (English)
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7 May 2001
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Using a sort of Malliavin calculus, the author shows that the infinitesimal reduced variation of stochastic parallel displacement on a commutative principal bundle is a martingale if and only if the connection, with respect to which the displacement is produced, satisfies the Maxwell equation.
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stochastic parallel displacement
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Malliavin calculus
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Maxwell connection
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Yang-Mills connection
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