On the Canonical Equivalence of Liouville and Free Fields
C. Ford (UNI Jena), I. Sachs (DIAS)
TL;DR
This paper derives a parity-invariant generating functional that maps Liouville theory to a free scalar field, revealing a canonical equivalence and its relation to pseudoscalar transformations.
Contribution
It introduces a novel parity-invariant generating functional establishing the canonical equivalence between Liouville and free fields.
Findings
Explicit form of the generating functional for the transformation.
Demonstration of the parity invariance of the transformation.
Connection between Liouville theory and pseudoscalar transformations.
Abstract
We obtain the parity invariant generating functional for the canonical transformation mapping the Liouville theory into a free scalar field and explain how it is related to the pseudoscalar transformation
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