Conformal symmetry and the spectrum of anomalous dimensions in the N-vector model in 4-ε{lunate} dimensions

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Conformal symmetry and the spectrum of anomalous dimensions in the N-vector model in 4-ε{lunate} dimensions. / Kehrein, Stefan K.; Wegner, Franz J.; Pismak, Yurej M.

в: Nuclear Physics, Section B, Том 402, № 3, 09.08.1993, стр. 669-692.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{27482496e4ea412aac11d26b629f71a5,

title = "Conformal symmetry and the spectrum of anomalous dimensions in the N-vector model in 4-ε{lunate} dimensions",

abstract = "The subject of this paper is to study the critical N-vector model in 4-ε{lunate} dimensions in one-loop order. We analyse the spectrum of anomalous dimensions of composite operators with an arbitrary number of fields and gradients. For composite operators with three elementary fields and gradients we work out the complete spectrum of anomalous dimensions, thus extending the old solution of Wilson and Kogut for two fields and gradients. In the general case we prove some properties of the spectrum, in particular a lower limit 0 + O(ε{lunate}2). Thus one-loop contributions generally improve the stability of the nontrivial fixed point in contrast to some 2 + ε{lunate} expansions. Furthermore we explicitly find conformal invariance at the nontrivial fixed point.",

author = "Kehrein, {Stefan K.} and Wegner, {Franz J.} and Pismak, {Yurej M.}",

year = "1993",

month = aug,

day = "9",

doi = "10.1016/0550-3213(93)90124-8",

language = "English",

volume = "402",

pages = "669--692",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "3",

}

RIS

TY - JOUR

T1 - Conformal symmetry and the spectrum of anomalous dimensions in the N-vector model in 4-ε{lunate} dimensions

AU - Kehrein, Stefan K.

AU - Wegner, Franz J.

AU - Pismak, Yurej M.

PY - 1993/8/9

Y1 - 1993/8/9

N2 - The subject of this paper is to study the critical N-vector model in 4-ε{lunate} dimensions in one-loop order. We analyse the spectrum of anomalous dimensions of composite operators with an arbitrary number of fields and gradients. For composite operators with three elementary fields and gradients we work out the complete spectrum of anomalous dimensions, thus extending the old solution of Wilson and Kogut for two fields and gradients. In the general case we prove some properties of the spectrum, in particular a lower limit 0 + O(ε{lunate}2). Thus one-loop contributions generally improve the stability of the nontrivial fixed point in contrast to some 2 + ε{lunate} expansions. Furthermore we explicitly find conformal invariance at the nontrivial fixed point.

AB - The subject of this paper is to study the critical N-vector model in 4-ε{lunate} dimensions in one-loop order. We analyse the spectrum of anomalous dimensions of composite operators with an arbitrary number of fields and gradients. For composite operators with three elementary fields and gradients we work out the complete spectrum of anomalous dimensions, thus extending the old solution of Wilson and Kogut for two fields and gradients. In the general case we prove some properties of the spectrum, in particular a lower limit 0 + O(ε{lunate}2). Thus one-loop contributions generally improve the stability of the nontrivial fixed point in contrast to some 2 + ε{lunate} expansions. Furthermore we explicitly find conformal invariance at the nontrivial fixed point.

UR - http://www.scopus.com/inward/record.url?scp=0001695178&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(93)90124-8

DO - 10.1016/0550-3213(93)90124-8

M3 - Article

AN - SCOPUS:0001695178

VL - 402

SP - 669

EP - 692

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -

ID: 41388370