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Review Paper – Review Papers and Research Papers containing a Review SectionNo Access

THE RENORMALIZATION GROUP ACCORDING TO BALABAN, I. SMALL FIELDS

    This is an expository account of Balaban's approach to the renormalization group. The method is illustrated with a treatment of the ultraviolet problem for the scalar ϕ4 model on toroidal lattice in dimension d = 3. This yields another proof of the stability bound. In this first paper we analyze the small field contribution to the partition function.

    AMSC: 81T08, 81T16, 81T17

    References

    Published: 23 July 2013