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Guided by the analogy with random stroll intersection amplitudes, the Investigation focuses on the improvement of your so-known as tree diagram bound by a logarithmic correction expression, that's derived in this article by means of multi-scale Investigation. Key phrases
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abstract = "We show which the scaling limitations of spin fluctuations in four-dimensional Ising-style styles with nearest-neighbor ferromagnetic conversation at or near the essential point are Gaussian. An analogous statement is proven for that λφ4 fields in excess of R4 which has a lattice ultraviolet cutoff, in the Restrict of infinite quantity and vanishing lattice spacing. The proofs are enabled with the designs textquoteright random present-day representation, where the correlation features textquoteright deviation from Wick textquoteright s regulation is expressed regarding intersection probabilities of random currents with sources at distances which might be big to the design textquoteright s lattice scale.
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