Rosen, Jay Mass renormalization for the \(\lambda\Phi^4\) Euclidean lattice field. (English) Zbl 0453.60097 Adv. Appl. Math. 1, 37-49 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60G60 Random fields 60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) 81P20 Stochastic mechanics (including stochastic electrodynamics) 81T08 Constructive quantum field theory Keywords:Euclidean lattice field; inverse correlation length; Markov random field; invariant under lattice translations and rotations PDFBibTeX XMLCite \textit{J. Rosen}, Adv. Appl. Math. 1, 37--49 (1980; Zbl 0453.60097) Full Text: DOI References: [1] Simon, B., The \(P(φ)_2\) Euclidean (Quantum) Field Theory (1974), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 1175.81146 [2] Guerra, F.; Rosen, L.; Simon, B., The \(P(φ)_2\) Euclidean quantum field theory as classical statistical mechanics, Ann. of Math., 101, Nos. 1, 2, 111-259 (1975) · Zbl 1495.82015 [3] Nelson, E., Probability theory and Euclidean field theory, (Velo, G.; Wightman, A., Constructive Quantum Field Theory (1973), Springer-Verlag: Springer-Verlag Berlin), 94-124 [4] Frölich, J., Schwinger functions and their generating functionals, II, Advances in Math., 23, 119-180 (1977) [5] Deo, C., A functional central limit theorem for stationary random fields, Ann. of Prob., 3, No. 4, 708-715 (1975) · Zbl 0333.60028 [6] Glimm, J.; Jaffe, A., Critical Problems in Quantum Fields, (presented at Int. Coll. on Math. Methods of Quantum Field Theory (June 1975), CNRS: CNRS Marseille) · Zbl 0191.27101 [7] Glimm, J.; Jaffe, A., \(φ_2^4\) quantum field model in the single-phase region: Differentiability of the mass and bounds on critical exponents, Phys. Rev. D, 10, No. 2, 536-539 (1974) [8] \( \textsc{G. Baker}d\)J. Math. Phys.16; \( \textsc{G. Baker}d\)J. Math. Phys.16 [9] Glimm, J.; Jaffe, A.; Spencer, T., The particle structure of the weakly coupled \(P(φ)_2\) model, (Velo, G.; Wightman, A., Constructive Quantum Field Theory (1973), Springer-Verlag: Springer-Verlag Berlin), 132-242 [10] Ito, K.; McKean, H. P., Diffusion Processes and their Sample Paths (1965), Academic Press: Academic Press New York · Zbl 0127.09503 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.