Effective action and cluster properties of the abelian Higgs model

Tadeusz Bałaban, John Z. Imbrie, Arthur Jaffe

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We continue our program to establish the Higgs mechanism and mass gap for the abelian Higgs model in two and three dimensions. We develop a multiscale cluster expansion for the high frequency modes of the theory, within a framework of iterated renormalization group transformations. The expansions yield decoupling properties needed for a proof of exponential decay of correlations. The result of this analysis is a gauge invariant unit lattice theory with a deep Higgs potential of the shape required to exhibit the Higgs mechanism.

Original languageEnglish (US)
Pages (from-to)257-315
Number of pages59
JournalCommunications In Mathematical Physics
Volume114
Issue number2
DOIs
StatePublished - Jun 1 1988
Externally publishedYes

Fingerprint

Effective Action
Higgs
expansion
decoupling
Cluster Expansion
Lattice Theory
Decay of Correlations
decay
Exponential Decay
Decoupling
Model
Renormalization Group
Three-dimension
Gauge
Two Dimensions
Continue
Unit
Invariant

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Bałaban, Tadeusz ; Imbrie, John Z. ; Jaffe, Arthur. / Effective action and cluster properties of the abelian Higgs model. In: Communications In Mathematical Physics. 1988 ; Vol. 114, No. 2. pp. 257-315.
@article{948a239de8d14136a143fc889a95130c,
title = "Effective action and cluster properties of the abelian Higgs model",
abstract = "We continue our program to establish the Higgs mechanism and mass gap for the abelian Higgs model in two and three dimensions. We develop a multiscale cluster expansion for the high frequency modes of the theory, within a framework of iterated renormalization group transformations. The expansions yield decoupling properties needed for a proof of exponential decay of correlations. The result of this analysis is a gauge invariant unit lattice theory with a deep Higgs potential of the shape required to exhibit the Higgs mechanism.",
author = "Tadeusz Bałaban and Imbrie, {John Z.} and Arthur Jaffe",
year = "1988",
month = "6",
day = "1",
doi = "https://doi.org/10.1007/BF01225038",
language = "English (US)",
volume = "114",
pages = "257--315",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer New York",
number = "2",

}

Effective action and cluster properties of the abelian Higgs model. / Bałaban, Tadeusz; Imbrie, John Z.; Jaffe, Arthur.

In: Communications In Mathematical Physics, Vol. 114, No. 2, 01.06.1988, p. 257-315.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Effective action and cluster properties of the abelian Higgs model

AU - Bałaban, Tadeusz

AU - Imbrie, John Z.

AU - Jaffe, Arthur

PY - 1988/6/1

Y1 - 1988/6/1

N2 - We continue our program to establish the Higgs mechanism and mass gap for the abelian Higgs model in two and three dimensions. We develop a multiscale cluster expansion for the high frequency modes of the theory, within a framework of iterated renormalization group transformations. The expansions yield decoupling properties needed for a proof of exponential decay of correlations. The result of this analysis is a gauge invariant unit lattice theory with a deep Higgs potential of the shape required to exhibit the Higgs mechanism.

AB - We continue our program to establish the Higgs mechanism and mass gap for the abelian Higgs model in two and three dimensions. We develop a multiscale cluster expansion for the high frequency modes of the theory, within a framework of iterated renormalization group transformations. The expansions yield decoupling properties needed for a proof of exponential decay of correlations. The result of this analysis is a gauge invariant unit lattice theory with a deep Higgs potential of the shape required to exhibit the Higgs mechanism.

UR - http://www.scopus.com/inward/record.url?scp=34250089316&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250089316&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/BF01225038

DO - https://doi.org/10.1007/BF01225038

M3 - Article

VL - 114

SP - 257

EP - 315

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -