scholarly journals Ising model on a twisted lattice with holographic renormalization-group flow

2015 ◽  
Vol 2015 (11) ◽  
pp. 113B02-113B02
Author(s):  
S. Matsuura ◽  
N. Sakai
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Renormalization Group Flow ◽  
Holographic Renormalization ◽  
Group Flow

scholarly journals The cubic fixed point at large N

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Damon J. Binder
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Ising Model ◽  
Ising Models ◽  
Three Dimensions ◽  
Renormalization Group Flow ◽  
Conformal Bootstrap ◽  
Large N ◽  
Group Flow ◽  
3D Ising Model

Abstract By considering the renormalization group flow between N coupled Ising models in the UV and the cubic fixed point in the IR, we study the large N behavior of the cubic fixed points in three dimensions. We derive a diagrammatic expansion for the 1/N corrections to correlation functions. Leading large N corrections to conformal dimensions at the cubic fixed point are then evaluated using numeric conformal bootstrap data for the 3d Ising model.

scholarly journals EXACT PARTITION FUNCTION AND BOUNDARY STATE OF CRITICAL ISING MODEL WITH BOUNDARY MAGNETIC FIELD

1995 ◽  
Vol 10 (12) ◽  
pp. 973-984 ◽  
Author(s):  
R. CHATTERJEE
Keyword(s):  
Magnetic Field ◽  
Renormalization Group ◽  
Ising Model ◽  
Partition Function ◽  
Ground State ◽  
Renormalization Group Flow ◽  
Conformal Boundary ◽  
Boundary State ◽  
Ground State Degeneracy ◽  
Group Flow

We compute the exact partition function of the 2-D Ising Model at critical temperature but with nonzero magnetic field at the boundary. The model describes a renormalization group flow between the free and fixed conformal boundary conditions in the space of boundary interactions. For this flow the universal ground state degeneracy g and the full boundary state is computed exactly.

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