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2010

Polymer quantization of the free scalar field and its classical limit

Laddha, Alok, Varadarajan, Madhavan

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Building on prior work, a generally covariant reformulation of free scalar field theory on the flat Lorentzian cylinder is quantized using Loop Quantum Gravity (LQG) type `polymer' representations.

This quantization of the {\em continuum} classical theory yields a quantum theory which lives on a discrete spacetime lattice.
We explicitly construct a state in the polymer Hilbert space which reproduces the standard Fock vacuum- two point functions for long wavelength modes of the scalar field.
Our construction indicates that the continuum classical theory emerges under coarse graining.

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