# Hubbard Stratonovich transformation

1. May 11, 2015

### aaaa202

Introducing the Hubbard Stratonovich transformation my book uses an expression for completeness that I don't understand (the one indicated on the picture). Can anyone explain why this is indeed unity?

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• ###### HubbardStratonovich.png
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2. May 11, 2015

### fzero

The normalization constant that they refer to being absorbed into the definition of the functional measure is presumably the appropriate power of $\det V$ and other factors that makes that unity. Overall rescalings of the functional measure should drop out of calculations of observables.