Bounds on the Zeros of aRenormalization Group Fixed Point
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چکیده
Renormalization Group Fixed Point Hans Koch 1 Department of Mathematics, University of Texas at Austin Austin, TX 78712 Peter Wittwer 2 D epartement de Physique Th eorique, Universit e de Gen eve Gen eve, CH 1211 Abstract. We prove that the Renormalization Group transformation for the Laplace transform of the d = 3 Dyson{Baker hierarchical model has a nontrivial entire analytic xed point whose zeros all lie on the imaginary axis. Sharp upper and lower bounds on 80 of these zeros are used to verify the assumptions made in reference [1]. Our proof is computer{assisted.
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تاریخ انتشار 1995