Supersymmetric theory of stochastic dynamics: Difference between revisions

Revision as of 21:09, 27 June 2025

Revision as of 22:09, 15 July 2025

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| doi = 10.1103/RevModPhys.57.617

| bibcode = 1985RvMP...57..617E

}}</ref> <ref>

<math display="block" > \hat H = \hat L_F - \Theta \hat L_{G_a}\hat L_{G_a},</math>

where <math> \hat L_F</math> is the [[Lie derivative]] along the vector field specified in the subscript. Its fundamental mathematical meaning -- the pullback averaged over noise -- ensures that GTO is unique. It corresponds to [[Stratonovich integral|Stratonovich interpretation]] in the traditional approach to SDEs.<ref>

{{cite book

| last = Kunita

Line 117 ⟶ 119:

}}

</ref>

<math display="block" > \hat H = \hat L_F - \Theta \hat L_{G_a}\hat L_{G_a},</math>

where <math> \hat L_F</math> is the [[Lie derivative]] along the vector field specified in the subscript. Its fundamental mathematical meaning -- the pullback averaged over noise -- ensures that GTO is unique. It corresponds to [[Stratonovich integral|Stratonovich interpretation]] in the traditional approach to SDEs.

=== Topological supersymmetry ===