TY - JOUR
T1 - On the renormalized coupling constant and the susceptibility in φ44 field theory and the Ising model in four dimensions
AU - Aizenman, Michael
AU - Graham, Ross
N1 - Funding Information:
i Sloan Foundation Research Fellow, supported by NSF grant PHY-8301493. Part of this work was done at the Princeton University, Physics Department, supported by NSF Grant PHY-8116101. 2 Current address: Defense Research Establishment Atlantic, P.O. Box 1012, Dartmouth, Nova Scotia B2Y 3Z7, Canada.
PY - 1983/10/31
Y1 - 1983/10/31
N2 - We discuss the euclidean φ44 field theory, and the critical behavior in ferromagnetic systems in four dimensions. It is rigorously shown that there are at most logarithmic corrections to the mean field law in the behavior of the magnetic susceptibility X = ΣS2(0, x). Furthermore, if any such corrections are present in a continuum limit which is used to construct a φ44 field theory, the limiting theory would be non-interacting. Our analysis extends to ferromagnetic systems of variables which belong to the Griffiths-Simon class.
AB - We discuss the euclidean φ44 field theory, and the critical behavior in ferromagnetic systems in four dimensions. It is rigorously shown that there are at most logarithmic corrections to the mean field law in the behavior of the magnetic susceptibility X = ΣS2(0, x). Furthermore, if any such corrections are present in a continuum limit which is used to construct a φ44 field theory, the limiting theory would be non-interacting. Our analysis extends to ferromagnetic systems of variables which belong to the Griffiths-Simon class.
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U2 - 10.1016/0550-3213(83)90053-6
DO - 10.1016/0550-3213(83)90053-6
M3 - Article
AN - SCOPUS:0000942664
SN - 0550-3213
VL - 225
SP - 261
EP - 288
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2
ER -