TY - JOUR
T1 - A rigorous inequality for the specific heat of an Ising or φ4 ferromagnet
AU - Sokal, Alan D.
PY - 1979/5/28
Y1 - 1979/5/28
N2 - For a class of models including the Ising ferromagnet and the φ4lattice field theory, I prove a rigorous upper bound for the specific heat in terms of the susceptibility and the magnetization. This bound implies the critical-exponent inequalities α ≤ max (0,( 2 - d 2)γ), α′ ≤ max (0,( 2 - d 2)γ′, γ′ - 2β), and αc ≤ max (0, ( 2 - d 2) (δ - 1), δ - 3) for lattice dimension d ≥ 2.
AB - For a class of models including the Ising ferromagnet and the φ4lattice field theory, I prove a rigorous upper bound for the specific heat in terms of the susceptibility and the magnetization. This bound implies the critical-exponent inequalities α ≤ max (0,( 2 - d 2)γ), α′ ≤ max (0,( 2 - d 2)γ′, γ′ - 2β), and αc ≤ max (0, ( 2 - d 2) (δ - 1), δ - 3) for lattice dimension d ≥ 2.
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U2 - 10.1016/0375-9601(79)90633-9
DO - 10.1016/0375-9601(79)90633-9
M3 - Article
AN - SCOPUS:0007233961
SN - 0375-9601
VL - 71
SP - 451
EP - 453
JO - Physics Letters A
JF - Physics Letters A
IS - 5-6
ER -