Rigorous proof of the high-temperature Josephson inequality for critical exponents

Alan D. Sokal

doi:10.1007/BF01008478

Rigorous proof of the high-temperature Josephson inequality for critical exponents

Alan D. Sokal

Research output: Contribution to journal › Article › peer-review

Abstract

I give a rigorous proof of the high-temperature Josephson inequality dv ≥ 2-α, following the original ideas of Josephson. The proof is applicable to a class of models including the ferromagnetic Ising model and the φ{symbol}⁴ lattice field theory.

Original language	English (US)
Pages (from-to)	51-56
Number of pages	6
Journal	Journal of Statistical Physics
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/BF01008478
State	Published - May 1981

Keywords

Josephson inequality
correlation inequalities
critical exponents
hyperscaling

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF01008478

Cite this

@article{daca2a8d09a148148acae22a64dd5481,

title = "Rigorous proof of the high-temperature Josephson inequality for critical exponents",

abstract = "I give a rigorous proof of the high-temperature Josephson inequality dv ≥ 2-α, following the original ideas of Josephson. The proof is applicable to a class of models including the ferromagnetic Ising model and the φ{symbol}4 lattice field theory.",

keywords = "Josephson inequality, correlation inequalities, critical exponents, hyperscaling",

author = "Sokal, {Alan D.}",

year = "1981",

month = may,

doi = "10.1007/BF01008478",

language = "English (US)",

volume = "25",

pages = "51--56",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Rigorous proof of the high-temperature Josephson inequality for critical exponents

AU - Sokal, Alan D.

PY - 1981/5

Y1 - 1981/5

N2 - I give a rigorous proof of the high-temperature Josephson inequality dv ≥ 2-α, following the original ideas of Josephson. The proof is applicable to a class of models including the ferromagnetic Ising model and the φ{symbol}4 lattice field theory.

AB - I give a rigorous proof of the high-temperature Josephson inequality dv ≥ 2-α, following the original ideas of Josephson. The proof is applicable to a class of models including the ferromagnetic Ising model and the φ{symbol}4 lattice field theory.

KW - Josephson inequality

KW - correlation inequalities

KW - critical exponents

KW - hyperscaling

UR - http://www.scopus.com/inward/record.url?scp=0010736323&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0010736323&partnerID=8YFLogxK

U2 - 10.1007/BF01008478

DO - 10.1007/BF01008478

M3 - Article

AN - SCOPUS:0010736323

SN - 0022-4715

VL - 25

SP - 51

EP - 56

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1

ER -

Rigorous proof of the high-temperature Josephson inequality for critical exponents

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this