The polymer Wigner functional for a real scalar field is derived as a weak covariance limit of the Gaussian-measure Wigner functional, reproducing earlier GNS and Fock results.
Rovelli, Quantum Gravity , (Cambridge, Cambridge University Press, 2004)
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The Polymer representation for the scalar field: A Wigner functional approach
The polymer Wigner functional for a real scalar field is derived as a weak covariance limit of the Gaussian-measure Wigner functional, reproducing earlier GNS and Fock results.