Phase structure of the O(n) model on a random lattice for n > 2

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Standard

Phase structure of the O(n) model on a random lattice for n > 2. / Durhuus, B.; Kristjansen, C.

I: Nuclear Physics B, Bind 483, Nr. 3, 13.01.1997, s. 535-551.

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Harvard

Durhuus, B & Kristjansen, C 1997, 'Phase structure of the O(n) model on a random lattice for n > 2', Nuclear Physics B, bind 483, nr. 3, s. 535-551. https://doi.org/10.1016/S0550-3213(96)00574-3

APA

Durhuus, B., & Kristjansen, C. (1997). Phase structure of the O(n) model on a random lattice for n > 2. Nuclear Physics B, 483(3), 535-551. https://doi.org/10.1016/S0550-3213(96)00574-3

Vancouver

Durhuus B, Kristjansen C. Phase structure of the O(n) model on a random lattice for n > 2. Nuclear Physics B. 1997 jan. 13;483(3):535-551. https://doi.org/10.1016/S0550-3213(96)00574-3

Author

Durhuus, B. ; Kristjansen, C. / Phase structure of the O(n) model on a random lattice for n > 2. I: Nuclear Physics B. 1997 ; Bind 483, Nr. 3. s. 535-551.

Bibtex

@article{4cda3a27b6ea495ea138a889153a7ad6,
title = "Phase structure of the O(n) model on a random lattice for n > 2",
abstract = "We show that coarse graining arguments invented for the analysis of multi-spin systems on a randomly triangulated surface apply also to the O(n) model on a random lattice. These arguments imply that if the model has a critical point with diverging string susceptibility, then either γ = +1/2 or there exists a dual critical point with negative string susceptibility exponent, {\~γ}, related to γ by γ = {\~γ}/{\~γ}-1. Exploiting the exact solution of the O(n) model on a random lattice we show that both situations are realized for n > 2 and that the possible dual pairs of string susceptibility exponents are given by ({\~γ}, γ) = (-1/m, 1/m+1), m = 2, 3, . . . We also show that at the critical points with positive string susceptibility exponent the average number of loops on the surface diverges while the average length of a single loop stays finite.",
author = "B. Durhuus and C. Kristjansen",
year = "1997",
month = jan,
day = "13",
doi = "10.1016/S0550-3213(96)00574-3",
language = "English",
volume = "483",
pages = "535--551",
journal = "Nuclear Physics, Section B",
issn = "0550-3213",
publisher = "Elsevier BV * North-Holland",
number = "3",

}

RIS

TY - JOUR

T1 - Phase structure of the O(n) model on a random lattice for n > 2

AU - Durhuus, B.

AU - Kristjansen, C.

PY - 1997/1/13

Y1 - 1997/1/13

N2 - We show that coarse graining arguments invented for the analysis of multi-spin systems on a randomly triangulated surface apply also to the O(n) model on a random lattice. These arguments imply that if the model has a critical point with diverging string susceptibility, then either γ = +1/2 or there exists a dual critical point with negative string susceptibility exponent, γ̃, related to γ by γ = γ̃/γ̃-1. Exploiting the exact solution of the O(n) model on a random lattice we show that both situations are realized for n > 2 and that the possible dual pairs of string susceptibility exponents are given by (γ̃, γ) = (-1/m, 1/m+1), m = 2, 3, . . . We also show that at the critical points with positive string susceptibility exponent the average number of loops on the surface diverges while the average length of a single loop stays finite.

AB - We show that coarse graining arguments invented for the analysis of multi-spin systems on a randomly triangulated surface apply also to the O(n) model on a random lattice. These arguments imply that if the model has a critical point with diverging string susceptibility, then either γ = +1/2 or there exists a dual critical point with negative string susceptibility exponent, γ̃, related to γ by γ = γ̃/γ̃-1. Exploiting the exact solution of the O(n) model on a random lattice we show that both situations are realized for n > 2 and that the possible dual pairs of string susceptibility exponents are given by (γ̃, γ) = (-1/m, 1/m+1), m = 2, 3, . . . We also show that at the critical points with positive string susceptibility exponent the average number of loops on the surface diverges while the average length of a single loop stays finite.

UR - http://www.scopus.com/inward/record.url?scp=0031566125&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(96)00574-3

DO - 10.1016/S0550-3213(96)00574-3

M3 - Journal article

AN - SCOPUS:0031566125

VL - 483

SP - 535

EP - 551

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

SN - 0550-3213

IS - 3

ER -

ID: 186919615