scholarly journals Phase Diagram in the Large N Limit of the Annealed N-Vector Model with Gaussian Random Bonds and Its Relation to the RPN-1 Model

1982 ◽  
Vol 68 (6) ◽  
pp. 2176-2179 ◽  
Author(s):  
M. Oku
Keyword(s):  
Phase Diagram ◽  
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.

scholarly journals The O(N) vector model in the large-N limit revisited: multicritical points and double scaling limit

1996 ◽  
Vol 470 (3) ◽  
pp. 369-395 ◽  
Author(s):  
Galit Eyal ◽  
Moshe Moshe ◽  
Shinsuke Nishigaki ◽  
Jean Zinn-Justin
Keyword(s):  
Scaling Limit ◽  
Vector Model ◽  
Large N ◽  
Multicritical Points ◽  
N Vector ◽  
Double Scaling Limit
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