Renormalization group study of thermodynamics in large N 3D O(N) vector model

1999 ◽  
Author(s):  
Taichi Itoh ◽  
Yoonbai Kim
Keyword(s):  
Renormalization Group ◽  
Vector Model ◽  
Large N ◽  
N Vector

Burgers Equation vs. Large N Limit in TT¯-deformed O(N) Vector Model

2021 ◽  
pp. 115499
Author(s):  
Junichi Haruna ◽  
Katsuta Sakai ◽  
Kentaroh Yoshida
Keyword(s):  
Burgers Equation ◽  
Vector Model ◽  
Large N ◽  
N Vector

scholarly journals 3d large $N$ vector models at the boundary

2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Lorenzo Di Pietro ◽  
Edoardo Lauria ◽  
Pierluigi Niro
Keyword(s):  
Fixed Point ◽  
Weak Coupling ◽  
Vector Model ◽  
Boundary Theory ◽  
Weak Duality ◽  
Renormalization Group Flow ◽  
Boundary Interaction ◽  
Large N ◽  
Group Flow ◽  
N Vector

We consider a 4d scalar field coupled to large NN free or critical O(N)O(N) vector models, either bosonic or fermionic, on a 3d boundary. We compute the \betaβ function of the classically marginal bulk/boundary interaction at the first non-trivial order in the large NN expansion and exactly in the coupling. Starting with the free (critical) vector model at weak coupling, we find a fixed point at infinite coupling in which the boundary theory is the critical (free) vector model and the bulk decouples. We show that a strong/weak duality relates one description of the renormalization group flow to another one in which the free and the critical vector models are exchanged. We then consider the theory with an additional Maxwell field in the bulk, which also gives decoupling limits with gauged vector models on the boundary.

DOUBLE SCALING IN SUPERSYMMETRIC O(N) VECTOR MODEL

1991 ◽  
Vol 06 (33) ◽  
pp. 3091-3097 ◽  
Author(s):  
S. PRATIK KHASTGIR ◽  
ALOK KUMAR ◽  
JNANADEVA MAHARANA
Keyword(s):  
Critical Value ◽  
Scaling Behavior ◽  
Vector Model ◽  
Coupling Constant ◽  
One Dimensional ◽  
Large N ◽  
N Vector

Supersymmetric one-dimensional O(N) vector model is solved in large-N limit. It is shown that the model exhibits a double scaling behavior at a critical value of the coupling constant. Connection of this model with the bosonic vector models is discussed.

Sign in / Sign up

Export Citation Format

Share Document