Finite-Order Correlation Length for Four-Dimensional Weakly Self-Avoiding Walk and $${|\varphi|^4}$$ | φ | 4 Spins
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چکیده
منابع مشابه
Critical correlation functions for the 4-dimensional weakly self-avoiding walk and n-component |φ| model
We extend and apply a rigorous renormalisation group method to study critical correlation functions, on the 4-dimensional lattice Z4, for the weakly coupled n-component |φ|4 spin model for all n ≥ 1, and for the continuous-time weakly self-avoiding walk. For the |φ|4 model, we prove that the critical two-point function has |x|−2 (Gaussian) decay asymptotically, for n ≥ 1. We also determine the ...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2016
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-016-0499-0