# Flow equation for the scalar model in the large $N$ expansion and its applications

@article{Aoki2016FlowEF, title={Flow equation for the scalar model in the large \$N\$ expansion and its applications}, author={Sinya Aoki and J'anos Balog and Tetsuya Onogi and Peter Weisz}, journal={arXiv: High Energy Physics - Theory}, year={2016} }

We study the flow equation of the O($N$) $\varphi^4$ model in $d$ dimensions at the next-to-leading order (NLO) in the $1/N$ expansion. Using the Schwinger-Dyson equation, we derive 2-pt and 4-pt functions of flowed fields. As the first application of the NLO calculations, we study the running coupling defined from the connected 4-pt function of flowed fields in the $d+1$ dimensional theory. We show in particular that this running coupling has not only the UV fixed point but also an IR fixed…

## 10 Citations

### Flow equation of N$$ \mathcal{N} $$ = 1 supersymmetric O(N ) nonlinear sigma model in two dimensions

- Mathematics
- 2017

A bstractWe study the flow equation for the N$$ \mathcal{N} $$ = 1 supersymmetric O(N ) nonlinear sigma model in two dimensions, which cannot be given by the gradient of the action, as evident from…

### Novel Approaches to Renormalization Group Transformations in the Continuum and on the Lattice

- Physics
- 2020

This thesis is about new methods of achieving RG transformations, in both a continuum spacetime background and on a lattice discretization thereof. The subject is explored from the point of view of…

### Finite cutoff AdS5 holography and the generalized gradient flow

- PhysicsJournal of High Energy Physics
- 2018

A bstractRecently proposed double trace deformations of large N holographic CFTs in four dimensions define a one parameter family of quantum field theories, which are interpreted in the bulk dual as…

### Supersymmetric gradient flow in the Wess-Zumino model

- PhysicsPhysical Review D
- 2019

We propose a supersymmetric gradient flow equation in four dimensional Wess-Zumino model. The flow is constructed in two ways. One is based on the off-shell component fields and the other is based on…

### Holographic computation of quantum corrections to the bulk cosmological constant

- PhysicsProgress of Theoretical and Experimental Physics
- 2019

We explore the program of the construction of the dual bulk theory in the flow equation approach. We compute the vacuum expectation value of the Einstein operator at the next to leading order in the…

### Holographic geometry for nonrelativistic systems emerging from generalized flow equations

- Physics, MathematicsPhysical Review D
- 2019

An intriguing result presented by two of the present authors is that an anti de Sitter space can be derived from a conformal field theory by considering a flow equation. A natural expectation is that…

### Holographic de Sitter spacetime and quantum corrections to the cosmological constant

- Physics
- 2020

A dynamical aspect of quantum gravity on de Sitter spacetime is investigated by holography or the dS/CFT correspondence. We show that de Sitter spacetime emerges from a free Sp(N) vector model by…

### Nonrelativistic hybrid geometries with gravitational gauge-fixing terms

- Physics, MathematicsPhysical Review Research
- 2020

We search a gravitational system which allows a non-relativistic hybrid geometry interpolating the Schr\"odinger and Lifshitz spacetimes as a solution, as a continuation of the previous work…

### Flow equation, conformal symmetry, and anti-de Sitter geometry

- Physics, Mathematics
- 2018

We argue that the Anti-de-Sitter (AdS) geometry in d+1 dimensions naturally emerges from an arbitrary conformal field theory in d dimensions using the free flow equation. We first show that an…

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