scholarly journals Renormalization group flow of coupled tensorial group field theories: Towards the Ising model on random lattices

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Vincent Lahoche ◽  
Dine Ousmane Samary ◽  
Antonio D. Pereira
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Field Theories ◽  
Renormalization Group Flow ◽  
Random Lattices ◽  
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.

RENORMALIZATION GROUP AND VIRASORO CONSTRAINTS IN LIOUVILLE FIELD THEORIES

1991 ◽  
Vol 06 (25) ◽  
pp. 2289-2300 ◽  
Author(s):  
TAKAHIRO KUBOTA ◽  
YI-XIN CHENG
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Matrix Models ◽  
Liouville Theory ◽  
Target Space ◽  
Field Theories ◽  
Renormalization Group Flow ◽  
Virasoro Constraints ◽  
Group Flow ◽  
Matter Fields

The idea of Wilson's renormalization group is applied to the 2-dimensional Liouville theory coupled to matter fields. The Virasoro structures including those of Liouville field are explicitly derived at the fixed point of the renormalization group flow. The Virasoro operators are transformed into another set of Virasoro operators acting in the target space and it is argued that the latter could be interpreted as those discovered recently in matrix models.

scholarly journals GRAVITY DUAL FOR CYCLIC RENORMALIZATION GROUP FLOW WITHOUT CONFORMAL INVARIANCE

2011 ◽  
Vol 26 (33) ◽  
pp. 2469-2476 ◽  
Author(s):  
YU NAKAYAMA
Keyword(s):  
Renormalization Group ◽  
Energy Condition ◽  
Slight Modification ◽  
Gravitational Theory ◽  
Null Energy Condition ◽  
Field Theories ◽  
Renormalization Group Flow ◽  
Scale Invariant ◽  
Conformal Field ◽  
Group Flow

We construct a gravity dual for scale invariant but non-conformal field theories with a cyclic renormalization group flow. A slight modification of our construction gives a gravity dual of discretely scale invariant field theories. The underlying gravitational theory breaks the null energy condition.

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