Hamiltonian Cycles on Random Eulerian Triangulations

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Hamiltonian Cycles on Random Eulerian Triangulations. / Guitter, E.; Kristjansen, C.; Nielsen, Jakob Langgaard.

I: Nuclear Physics B, Bind 546, Nr. 3, 19.11.1998, s. 731-750.

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Harvard

Guitter, E, Kristjansen, C & Nielsen, JL 1998, 'Hamiltonian Cycles on Random Eulerian Triangulations', Nuclear Physics B, bind 546, nr. 3, s. 731-750. https://doi.org/10.1016/S0550-3213(99)00058-9

APA

Guitter, E., Kristjansen, C., & Nielsen, J. L. (1998). Hamiltonian Cycles on Random Eulerian Triangulations. Nuclear Physics B, 546(3), 731-750. https://doi.org/10.1016/S0550-3213(99)00058-9

Vancouver

Guitter E, Kristjansen C, Nielsen JL. Hamiltonian Cycles on Random Eulerian Triangulations. Nuclear Physics B. 1998 nov. 19;546(3):731-750. https://doi.org/10.1016/S0550-3213(99)00058-9

Author

Guitter, E. ; Kristjansen, C. ; Nielsen, Jakob Langgaard. / Hamiltonian Cycles on Random Eulerian Triangulations. I: Nuclear Physics B. 1998 ; Bind 546, Nr. 3. s. 731-750.

Bibtex

@article{5bb95517594e41719012766cbb403d9b,
title = "Hamiltonian Cycles on Random Eulerian Triangulations",
abstract = "A random Eulerian triangulation is a random triangulation where an even number of triangles meet at any given vertex. We argue that the central charge increases by one if the fully packed O(n) model is defined on a random Eulerian triangulation instead of an ordinary random triangulation. Considering the case n -> 0, this implies that the system of random Eulerian triangulations equipped with Hamiltonian cycles describes a c=-1 matter field coupled to 2D quantum gravity as opposed to the system of usual random triangulations equipped with Hamiltonian cycles which has c=-2. Hence, in this case one should see a change in the entropy exponent from the value gamma=-1 to the irrational value gamma=(-1-\sqrt{13})/6=-0.76759... when going from a usual random triangulation to an Eulerian one. A direct enumeration of configurations confirms this change in gamma.",
keywords = "cond-mat.stat-mech, hep-lat, hep-th",
author = "E. Guitter and C. Kristjansen and Nielsen, {Jakob Langgaard}",
note = "22 pages, 9 figures, references and a comment added",
year = "1998",
month = nov,
day = "19",
doi = "10.1016/S0550-3213(99)00058-9",
language = "English",
volume = "546",
pages = "731--750",
journal = "Nuclear Physics, Section B",
issn = "0550-3213",
publisher = "Elsevier BV * North-Holland",
number = "3",

}

RIS

TY - JOUR

T1 - Hamiltonian Cycles on Random Eulerian Triangulations

AU - Guitter, E.

AU - Kristjansen, C.

AU - Nielsen, Jakob Langgaard

N1 - 22 pages, 9 figures, references and a comment added

PY - 1998/11/19

Y1 - 1998/11/19

N2 - A random Eulerian triangulation is a random triangulation where an even number of triangles meet at any given vertex. We argue that the central charge increases by one if the fully packed O(n) model is defined on a random Eulerian triangulation instead of an ordinary random triangulation. Considering the case n -> 0, this implies that the system of random Eulerian triangulations equipped with Hamiltonian cycles describes a c=-1 matter field coupled to 2D quantum gravity as opposed to the system of usual random triangulations equipped with Hamiltonian cycles which has c=-2. Hence, in this case one should see a change in the entropy exponent from the value gamma=-1 to the irrational value gamma=(-1-\sqrt{13})/6=-0.76759... when going from a usual random triangulation to an Eulerian one. A direct enumeration of configurations confirms this change in gamma.

AB - A random Eulerian triangulation is a random triangulation where an even number of triangles meet at any given vertex. We argue that the central charge increases by one if the fully packed O(n) model is defined on a random Eulerian triangulation instead of an ordinary random triangulation. Considering the case n -> 0, this implies that the system of random Eulerian triangulations equipped with Hamiltonian cycles describes a c=-1 matter field coupled to 2D quantum gravity as opposed to the system of usual random triangulations equipped with Hamiltonian cycles which has c=-2. Hence, in this case one should see a change in the entropy exponent from the value gamma=-1 to the irrational value gamma=(-1-\sqrt{13})/6=-0.76759... when going from a usual random triangulation to an Eulerian one. A direct enumeration of configurations confirms this change in gamma.

KW - cond-mat.stat-mech

KW - hep-lat

KW - hep-th

U2 - 10.1016/S0550-3213(99)00058-9

DO - 10.1016/S0550-3213(99)00058-9

M3 - Journal article

VL - 546

SP - 731

EP - 750

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

SN - 0550-3213

IS - 3

ER -

ID: 186914667