Thermal quantum fields with spatially cutoff interactions in 1+1 space--time dimensions (Q1766553)
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| English | Thermal quantum fields with spatially cutoff interactions in 1+1 space--time dimensions |
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Thermal quantum fields with spatially cutoff interactions in 1+1 space--time dimensions (English)
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8 March 2005
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Aiming the construction of thermal neutral as well as charged \({\mathcal P}(\phi)_2\) quantum field theories, present paper treats spatially cutoff perturbations of the free systems in infinite volume. The method is based on \(\beta\)-periodic, \(O-S\) positive generalized path-space measures and the corresponding reconstruction theorem. The UV divergences can be eliminated by Wick ordering like in \({\mathcal P}(\phi)_2\) theories at zero-temperature.
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constructive field theory
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thermal field theory
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KMS states
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