On the planar limit of Tolman's length in an Ising model

1985 ◽  
Vol 119 (5) ◽  
pp. 375-376 ◽  
Author(s):  
Philip Phillips
Keyword(s):  
Ising Model ◽  
Planar Limit

scholarly journals The planar limit of $$ \mathcal{N} $$ = 2 superconformal quiver theories

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Bartomeu Fiol ◽  
Jairo Martfnez-Montoya ◽  
Alan Rios Fukelman
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Gauge Group ◽  
Wilson Loop ◽  
Cartan Matrix ◽  
Partition Functions ◽  
Expectation Value ◽  
Tree Graphs ◽  
Fundamental Matter ◽  
Planar Limit

Abstract We compute the planar limit of both the free energy and the expectation value of the 1/2 BPS wilson loop for four dimensional $$ \mathcal{N} $$ N = 2 superconformal quiver theories, with a product of SU(N)s as gauge group and hi-fundamental matter. Supersymmetric localization reduces the problem to a multi-matrix model, that we rewrite in the zero­ instanton sector as an effective action involving an infinite number of double-trace terms, determined by the relevant extended Cartan matrix. We find that the results, as in the case of $$ \mathcal{N} $$ N = 2 SCFTs with a simple gauge group, can be written as sums over tree graphs. For the $$ \hat{A_1} $$ A 1 ̂ case, we find that the contribution of each tree can be interpreted as the partition function of a generalized Ising model defined on the tree; we conjecture that the partition functions of these models defined on trees satisfy the Lee-Yang property, i.e. all their zeros lie on the unit circle.

SPIN ONE ISING MODEL WITH COMPETING INTERACTIONS ON THE BETHE LATTICE

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1031-C8-1032
Author(s):  
S. Coutinho ◽  
C. R. da Silva
Keyword(s):  
Ising Model ◽  
Bethe Lattice ◽  
Competing Interactions

CRITICAL DYNAMICS OF THE ISING MODEL WITH ISING MACHINE

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1397-C8-1398 ◽  
Author(s):  
N. Ito ◽  
M. Taiji ◽  
M. Suzuki
Keyword(s):  
Ising Model ◽  
Critical Dynamics

Dipole Ising model for the crystals of Sn2P2S6 family

1999 ◽  
Vol 4 (0) ◽  
pp. 112-119
Author(s):  
О. В. Дробнич ◽  
Ю. М. Височанський
Keyword(s):  
Ising Model

Ground states for the ising model with an external field on the Cayley tree

2018 ◽  
Vol 2018 (3) ◽  
pp. 147-155
Author(s):  
M.M. Rakhmatullaev ◽  
M.A. Rasulova
Keyword(s):  
Ising Model ◽  
External Field ◽  
Cayley Tree ◽  
Ground States
Sign in / Sign up

Export Citation Format

Share Document