3D Ising model as a free fermion string theory

1987 ◽  
Vol 285 ◽  
pp. 45-69 ◽  
Author(s):  
Vl.S. Dotsenko
Keyword(s):  
Ising Model ◽  
String Theory ◽  
Free Fermion ◽  
3D Ising Model

(2, 0) SUPERSYMMETRIC STRING THEORY AND THE CRITICAL EXPONENTS OF THE 3D ISING MODEL

1991 ◽  
Vol 06 (29) ◽  
pp. 2687-2691 ◽  
Author(s):  
M. A. MOJUMDER
Keyword(s):  
Ising Model ◽  
String Theory ◽  
Excellent Agreement ◽  
Critical Exponents ◽  
World Sheet ◽  
Theoretical Results ◽  
Matter Fields ◽  
3D Ising Model

Critical exponents α and β for the 3D Ising model have been obtained by a study of partial non-renormalization of superconformal dimensions of matter fields on (2, 0) supersymmetric string world-sheet. An ansatz has been used to calculate the exact numerical values which are in excellent agreement with experimental and other theoretical results.

scholarly journals Toward a 3d Ising model with a weakly-coupled string theory dual

2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Nabil Iqbal ◽  
John McGreevy
Keyword(s):  
Ising Model ◽  
String Theory ◽  
Numerical Methods ◽  
Domain Wall ◽  
Phase Structure ◽  
Domain Walls ◽  
Two Dimensional ◽  
Spin Configuration ◽  
Weakly Coupled ◽  
3D Ising Model

It has long been expected that the 3d Ising model can be thought of as a string theory, where one interprets the domain walls that separate up spins from down spins as two-dimensional string worldsheets. The usual Ising Hamiltonian measures the area of these domain walls. This theory has string coupling of unit magnitude. We add new local terms to the Ising Hamiltonian that further weight each spin configuration by a factor depending on the genus of the corresponding domain wall, resulting in a new 3d Ising model that has a tunable bare string coupling g_sgs. We use a combination of analytical and numerical methods to analyze the phase structure of this model as g_sgs is varied. We study statistical properties of the topology of worldsheets and discuss the prospects of using this new deformation at weak string coupling to find a worldsheet description of the 3d Ising transition.

scholarly journals Line defects in the 3d Ising model

2013 ◽  
Vol 2013 (7) ◽  
Author(s):  
M. Billó ◽  
M. Caselle ◽  
D. Gaiotto ◽  
F. Gliozzi ◽  
M. Meineri ◽  
...  
Keyword(s):  
Ising Model ◽  
Line Defects ◽  
3D Ising Model

scholarly journals Clifford algebra approach of 3D Ising model

2018 ◽  
Vol 29 (1) ◽  
Author(s):  
Zhidong Zhang ◽  
Osamu Suzuki ◽  
Norman H. March
Keyword(s):  
Ising Model ◽  
Clifford Algebra ◽  
Algebra Approach ◽  
3D Ising Model

scholarly journals The magnetization of the 3D Ising model

1996 ◽  
Vol 29 (17) ◽  
pp. 5727-5733 ◽  
Author(s):  
A L Talapov ◽  
H W J Blöte
Keyword(s):  
Ising Model ◽  
3D Ising Model

scholarly journals The 3D Ising model represented as random surfaces

1993 ◽  
Vol 303 (3-4) ◽  
pp. 327-333 ◽  
Author(s):  
J. Ambjørn ◽  
A. Sedrakyan ◽  
G. Thorleifsson
Keyword(s):  
Ising Model ◽  
Random Surfaces ◽  
3D Ising Model

scholarly journals Finite-size effects in the interface of the 3D Ising model

1993 ◽  
Vol 302 (1) ◽  
pp. 74-79 ◽  
Author(s):  
M Caselle ◽  
F Gliozzi ◽  
S Vinti
Keyword(s):  
Ising Model ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
3D Ising Model

Cluster-update acceleration of interface roughening in the 3D Ising model

1991 ◽  
Vol 66 (5) ◽  
pp. 530-533 ◽  
Author(s):  
Martin Hasenbusch ◽  
Steffen Meyer
Keyword(s):  
Ising Model ◽  
Interface Roughening ◽  
3D Ising Model

scholarly journals Fisher zeros in the Kallen–Lehmann approach to 3D Ising model

2009 ◽  
Vol 671 (2) ◽  
pp. 291-297 ◽  
Author(s):  
Marco Astorino ◽  
Fabrizio Canfora ◽  
Gaston Giribet
Keyword(s):  
Ising Model ◽  
Fisher Zeros ◽  
3D Ising Model
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