Abstract
We define an operator-valued distribution on the circle with the expected properties (correlation functions, Hermiticity, etc.) of the logarithmic boson field in the cylinder compact picture. This is done starting from the known Krein space realization of the right and left movers on the light cone and considering its relation with the U(1)-current algebra. The relevance of this construction fortwo-dimensional conformal quantum field theory is discussed.
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Pierotti, D. Boson Fields on the Circle as Generalized Wightman Fields. Letters in Mathematical Physics 39, 9–20 (1997). https://doi.org/10.1023/A:1007396521042
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DOI: https://doi.org/10.1023/A:1007396521042