The variational problems for classical N-vector models

Tadeusz Balaban

doi:10.1007/BF02099510

The variational problems for classical N-vector models

Tadeusz Balaban

School of Arts and Sciences, Mathematics

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

8 Scopus citations

Abstract

We prove existence and regularity properties of solutions of the variational problems introduced in the previous paper [1] for classical lattice N-vector models. These results form a basis of our renormalization group approach to low temperature expansions for the considered models.

Original language	English (US)
Pages (from-to)	607-642
Number of pages	36
Journal	Communications In Mathematical Physics
Volume	175
Issue number	3
DOIs	https://doi.org/10.1007/BF02099510
State	Published - 1996

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF02099510

Cite this

@article{ba291d555f734f9ba95454be398832df,

title = "The variational problems for classical N-vector models",

abstract = "We prove existence and regularity properties of solutions of the variational problems introduced in the previous paper [1] for classical lattice N-vector models. These results form a basis of our renormalization group approach to low temperature expansions for the considered models.",

author = "Tadeusz Balaban",

year = "1996",

doi = "10.1007/BF02099510",

language = "English (US)",

volume = "175",

pages = "607--642",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - The variational problems for classical N-vector models

AU - Balaban, Tadeusz

PY - 1996

Y1 - 1996

N2 - We prove existence and regularity properties of solutions of the variational problems introduced in the previous paper [1] for classical lattice N-vector models. These results form a basis of our renormalization group approach to low temperature expansions for the considered models.

AB - We prove existence and regularity properties of solutions of the variational problems introduced in the previous paper [1] for classical lattice N-vector models. These results form a basis of our renormalization group approach to low temperature expansions for the considered models.

UR - http://www.scopus.com/inward/record.url?scp=0030528621&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030528621&partnerID=8YFLogxK

U2 - 10.1007/BF02099510

DO - 10.1007/BF02099510

M3 - Article

AN - SCOPUS:0030528621

SN - 0010-3616

VL - 175

SP - 607

EP - 642

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

The variational problems for classical N-vector models

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this