### Abstract

This paper continues the analysis of the low temperature expansions for classical N-vector models started in [1]. A main part of it is a derivation of renormalization group equations and a construction of their solutions. To do this we have to introduce "a fluctuation integral" connected with a next renormalization transformation, and to make its preliminary analysis. The results of the paper are summarized in theorems stating that the renormalization transformation preserves the space of densitites, or actions described inductively in [1].

Original language | English (US) |
---|---|

Pages (from-to) | 675-721 |

Number of pages | 47 |

Journal | Communications In Mathematical Physics |

Volume | 182 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1996 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

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**A low temperature expansion for classical N-vector models. II. Renormalization group equations.** / Balaban, Tadeusz.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A low temperature expansion for classical N-vector models. II. Renormalization group equations

AU - Balaban, Tadeusz

PY - 1996/1/1

Y1 - 1996/1/1

N2 - This paper continues the analysis of the low temperature expansions for classical N-vector models started in [1]. A main part of it is a derivation of renormalization group equations and a construction of their solutions. To do this we have to introduce "a fluctuation integral" connected with a next renormalization transformation, and to make its preliminary analysis. The results of the paper are summarized in theorems stating that the renormalization transformation preserves the space of densitites, or actions described inductively in [1].

AB - This paper continues the analysis of the low temperature expansions for classical N-vector models started in [1]. A main part of it is a derivation of renormalization group equations and a construction of their solutions. To do this we have to introduce "a fluctuation integral" connected with a next renormalization transformation, and to make its preliminary analysis. The results of the paper are summarized in theorems stating that the renormalization transformation preserves the space of densitites, or actions described inductively in [1].

UR - http://www.scopus.com/inward/record.url?scp=0030569488&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030569488&partnerID=8YFLogxK

U2 - 10.1007/BF02506422

DO - 10.1007/BF02506422

M3 - Article

AN - SCOPUS:0030569488

VL - 182

SP - 675

EP - 721

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -