楊李定理

• 伊辛型
• 海森堡模型，Asano contractions[1][2]
• Simon & Griffiths (1973)
• Newman (1974)
• Lieb & Sokal (1981)
• 黎曼猜想、黎曼ζ函數、动力系统[3]

哈密爾頓是

${\displaystyle H=-\sum J_{jk}S_{j}S_{k}-\sum z_{j}S_{j}}$

若${\displaystyle S_{j}S_{k}\geq 0}$，則H是鐵磁性的。

配分函数是

${\displaystyle Z=\int e^{-H}d\mu _{1}(S_{1})\cdots d\mu _{N}(S_{N})}$

${\displaystyle \int e^{bS^{2}}d|\mu _{j}(S)|<\infty ,\,\forall b\in \mathbb {R} .}$

${\displaystyle \int e^{hS}d\mu _{j}(S)\neq 0,\,\forall h\in \mathbb {H} _{+}:=\{z\in \mathbb {C} |\Re {z}>0\}}$

楊李定理說

${\displaystyle Z(\{z_{j}\})\neq 0,\,\forall z_{j}\in \mathbb {H} _{+}}$

• Itzykson, Claude; Drouffe, Jean-Michel, , Cambridge Monographs on Mathematical Physics, Cambridge University Press, 1989, ISBN 978-0-521-34058-8, MR 1175176
• Knauf, Andreas, , Reviews in Mathematical Physics. A Journal for Both Review and Original Research Papers in the Field of Mathematical Physics, 1999, 11 (8): 1027–1060, Bibcode:10.1.1.184.8685, ISSN 0129-055X, MR 1714352, doi:10.1142/S0129055X99000325
• Lee, T. D.; Yang, C. N., , Physical Review, 1952, 87 (3): 410–419, ISSN 0031-9007, doi:10.1103/PhysRev.87.410
• Lieb, Elliott H.; Sokal, Alan D., , Communications in Mathematical Physics, 1981, 80 (2): 153–179, ISSN 0010-3616, MR 623156, doi:10.1007/BF01213009
• Newman, Charles M., , Communications on Pure and Applied Mathematics, 1974, 27 (2): 143–159, ISSN 0010-3640, MR 0484184, doi:10.1002/cpa.3160270203
• Simon, Barry; Griffiths, Robert B., , Communications in Mathematical Physics, 1973, 33 (2): 145–164, Bibcode:10.1.1.210.9639, ISSN 0010-3616, MR 0428998, doi:10.1007/BF01645626
• Yang, C. N.; Lee, T. D., , Physical Review, 1952, 87 (3): 404–409, ISSN 0031-9007, doi:10.1103/PhysRev.87.404