On the construction of the three dimensional polymer measure |
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Authors: | Erwin Bolthausen |
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Affiliation: | (1) Institut fúr Angewandte Mathematik, Universitát Zúrich, Rámistrasse 74, CH-8001 Zúrich, Switzerland |
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Abstract: | Summary The three dimensional polymer measure was first constructed by Westwater in 1980 with a very complicated proof. We give an alternative construction for small coupling parameter which is based on the approach by Brydges-Fröhlich-Sokal in quantum field theory and Bovier-Felder-Fröhlich, using skeleton inequalities. The main new features are the proof of convergence which had been open in the Brydges-Fröhlich-Sokal construction, and the construction of the measure on the space of paths with fixed time length. |
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