Critical exponents for the FPL 2 model

作者: Bernard Nienhuis , David Dei Cont

DOI:

关键词: Mathematical analysisBethe ansatzCritical exponentScalingSquare latticeCartan matrixMathematicsScaling dimensionCentral chargeCharge (physics)

摘要: Starting from the Bethe ansatz solution we derive a set of coupled non-linear integral equations for fully packed double loop model (FPL 2 ) on square lattice. As an application find exact expressions central charge and scaling dimension corresponding to simplest excitation. We study numerically low-lying excitations more general perturbations ground state discover that dimensions are well described by Cartan matrix sl4.

参考文章(38)
M. J. Martins, Integrable mixed vertex models from braid-monoid algebra arXiv: Exactly Solvable and Integrable Systems. ,(1999)
Bernard Nienhuis, Tiles and Colors Journal of Statistical Physics. ,vol. 102, pp. 981- 996 ,(2001) , 10.1023/A:1004867423281
Jesper Lykke Jacobsen, Jané Kondev, Transition from the Compact to the Dense Phase of Two-Dimensional Polymers Journal of Statistical Physics. ,vol. 96, pp. 21- 48 ,(1999) , 10.1023/A:1004512230458
A G Izergin, V E Korepin, N Y Reshetikhin, Conformal dimensions in Bethe ansatz solvable models Journal of Physics A. ,vol. 22, pp. 2615- 2620 ,(1989) , 10.1088/0305-4470/22/13/052
F Ravanini, D Fioravanti, A Mariottini, E Quattrini, EXCITED STATE DESTRI - DE VEGA EQUATION FOR SINE-GORDON AND RESTRICTED SINE-GORDON MODELS Physics Letters B. ,vol. 390, pp. 243- 251 ,(1997) , 10.1016/S0370-2693(96)01409-8
Bernard Nienhuis, David Dei Cont, The packing of two species of polygons on the square lattice Journal of Physics A. ,vol. 37, pp. 3085- 3100 ,(2004) , 10.1088/0305-4470/37/9/002
P A Kalugin, Low-lying excitations in the square - triangle random tiling model Journal of Physics A. ,vol. 30, pp. 7077- 7087 ,(1997) , 10.1088/0305-4470/30/20/013
Jané Kondev, Jesper Lykke Jacobsen, Conformational Entropy of Compact Polymers Physical Review Letters. ,vol. 81, pp. 2922- 2925 ,(1998) , 10.1103/PHYSREVLETT.81.2922
R. Raghavan, Christopher L. Henley, Scott L. Arouh, New two-color dimer models with critical ground states Journal of Statistical Physics. ,vol. 86, pp. 517- 550 ,(1997) , 10.1007/BF02199112