We show that for the regularized exponential interaction $\lambda :e^{\alpha \varphi_x$ in $d$ space-time dimensions the Schwinger functions converge, upon cut-off removal, to the Schwinger functions for the free field if $d>2$ for all $\alpha$ or if $d=2$ for all $\alpha$ such that $|\alpha|>\alpha_0>0$
Some results for the exponential interaction in two or more dimensions / S., Albeverio; Gallavotti, Giovanni; R., Hoeg Khron. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 70:(1979), pp. 187-193. [10.1007/BF01982355]
Some results for the exponential interaction in two or more dimensions
GALLAVOTTI, Giovanni;
1979
Abstract
We show that for the regularized exponential interaction $\lambda :e^{\alpha \varphi_x$ in $d$ space-time dimensions the Schwinger functions converge, upon cut-off removal, to the Schwinger functions for the free field if $d>2$ for all $\alpha$ or if $d=2$ for all $\alpha$ such that $|\alpha|>\alpha_0>0$File allegati a questo prodotto
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