Contradictions in spin glass field theory and a possible way out

C. De Dominicis, I. Kondor

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Strong infrared divergences prevent standard spin glass field theory to be meaningful, at least below d = 6. A mechanism that softens infrared divergences is displayed, that, via the existence of a sea of zero or near zero modes, relates softening in infrared divergences and in the small x behavior of Parisi order parameter q(x). This mechanism may, hopefully, allow the building of a meaningful spin glass field theory in the condensed phase.

Original languageEnglish
Pages (from-to)265-270
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume163
Issue number1
DOIs
Publication statusPublished - Feb 1 1990

Fingerprint

Spin Glass
spin glass
Field Theory
Divergence
divergence
Infrared
Softening
Zero
softening
Order Parameter

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Contradictions in spin glass field theory and a possible way out. / De Dominicis, C.; Kondor, I.

In: Physica A: Statistical Mechanics and its Applications, Vol. 163, No. 1, 01.02.1990, p. 265-270.

Research output: Contribution to journalArticle

@article{34aabb1fcc494a1cb7ea79618f703537,
title = "Contradictions in spin glass field theory and a possible way out",
abstract = "Strong infrared divergences prevent standard spin glass field theory to be meaningful, at least below d = 6. A mechanism that softens infrared divergences is displayed, that, via the existence of a sea of zero or near zero modes, relates softening in infrared divergences and in the small x behavior of Parisi order parameter q(x). This mechanism may, hopefully, allow the building of a meaningful spin glass field theory in the condensed phase.",
author = "{De Dominicis}, C. and I. Kondor",
year = "1990",
month = "2",
day = "1",
doi = "10.1016/0378-4371(90)90335-P",
language = "English",
volume = "163",
pages = "265--270",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - Contradictions in spin glass field theory and a possible way out

AU - De Dominicis, C.

AU - Kondor, I.

PY - 1990/2/1

Y1 - 1990/2/1

N2 - Strong infrared divergences prevent standard spin glass field theory to be meaningful, at least below d = 6. A mechanism that softens infrared divergences is displayed, that, via the existence of a sea of zero or near zero modes, relates softening in infrared divergences and in the small x behavior of Parisi order parameter q(x). This mechanism may, hopefully, allow the building of a meaningful spin glass field theory in the condensed phase.

AB - Strong infrared divergences prevent standard spin glass field theory to be meaningful, at least below d = 6. A mechanism that softens infrared divergences is displayed, that, via the existence of a sea of zero or near zero modes, relates softening in infrared divergences and in the small x behavior of Parisi order parameter q(x). This mechanism may, hopefully, allow the building of a meaningful spin glass field theory in the condensed phase.

UR - http://www.scopus.com/inward/record.url?scp=45149136116&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45149136116&partnerID=8YFLogxK

U2 - 10.1016/0378-4371(90)90335-P

DO - 10.1016/0378-4371(90)90335-P

M3 - Article

AN - SCOPUS:45149136116

VL - 163

SP - 265

EP - 270

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 1

ER -