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Article overview
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Dual representation for the generating functional of the Feynman path-integral | Marco Matone
; | Date: |
23 Nov 2015 | Abstract: | We show that the generating functional for scalar theories admits a
representation which is dual with respect to the one by Schwinger,
interchanging the role of the free and interacting terms. It maps $int
V(delta_J)$ and $JDelta J$ to $delta_{phi_c}Deltadelta_{phi_c}$ and
$int V(phi_c)$, respectively, with $phi_c=int JDelta$ and $Delta$ the
Feynman propagator. Comparing the Schwinger representation with its dual
version leads to the Baker-Campbell-Hausdorff relation $$ exp(Z_0[J])
exp(-smallint V(delta_J))exp(-Z_0[J]) =
exp(-Z_0[delta_{phi_c}])exp(-smallint V(phi_c)) $$ | Source: | arXiv, 1511.7408 | Services: | Forum | Review | PDF | Favorites |
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