Fetching the paper…

Reading the bibliography…

Gradient Flow of O(N) nonlinear sigma model at large N · Around

2014

Gradient Flow of O(N) nonlinear sigma model at large N

Aoki, Sinya, Kikuchi, Kengo, Onogi, Tetsuya

Original
PDF
Post on X

Understand

We study the gradient flow equation for the O(N) nonlinear sigma model in two dimensions at large N.

We parameterize solution of the field at flow time t in powers of bare fields by introducing the coefficient function X_n for the n-th power term (n=1,3,...).
Reducing the flow equation by keeping only the contributions at leading order in large N, we obtain a set of equations for X_n's, which can be solved iteratively starting from n=1.
For n=1 case, we find an explicit form of the exact solution.

Built on

G. ’t Hooft, A Planar Diagram Theory for Strong Interactions
1974
Earlier work this paper cites.
A. M. Polyakov, Interaction of Goldstone Particles in Two-Dimensions. Applications to Ferromagnets and Massive Yang-Mills Fields
1975
Earlier work this paper cites.
A. A. Migdal, Gauge Transitions in Gauge and Spin Lattice Systems
1975
Earlier work this paper cites.
M. Luscher, Properties and uses of the Wilson flow in lattice QCD
Original
2010
Earlier work this paper cites.
M. Luscher, Trivializing maps, the Wilson flow and the HMC algorithm
Original
2010
Earlier work this paper cites.
Z. Fodor, K. Holland, J. Kuti, D. Nogradi, and C. H. Wong, The gradient flow running coupling scheme
Original
2012
Earlier work this paper cites.
S. Borsanyi, S. Durr, Z. Fodor, C. Hoelbling, S. D. Katz, et al., High-precision scale setting in lattice QCD
Original
2012
Earlier work this paper cites.

Similar

Z. Fodor, K. Holland, J. Kuti, D. Nogradi, and C. H. Wong, The Yang-Mills gradient flow in finite volume
Original
2012
Cited alongside, same era.
J. Balog, F. Niedermayer, M. Pepe, P. Weisz, and U.-J. Wiese, Drastic Reduction of Cutoff Effects in 2-d Lattice O(N) Models
Original
2012
Cited alongside, same era.
M. Luscher, Chiral symmetry and the Yang–Mills gradient flow
Original
2013
Cited alongside, same era.
P. Fritzsch and A. Ramos, The gradient flow coupling in the Schrödinger Functional
Original
2013
Cited alongside, same era.
P. Fritzsch, A. Ramos, and F. Stollenwerk, Critical slowing down and the gradient flow coupling in the Schrödinger functional
Original

Then

C. Monahan and K. Orginos, Finite volume renormalization scheme for fermionic operators
Original
2013
Later among the works it cites.
M. Dalla Brida and D. Hesse, Numerical Stochastic Perturbation Theory and the Gradient Flow
Original
2013
Later among the works it cites.
J. Rantaharju, The Gradient Flow Coupling in Minimal Walking Technicolor
Original
2014
Closest in time.
Z. Fodor, K. Holland, J. Kuti, S. Mondal, D. Nogradi, et al., The lattice gradient flow at tree-level and its improvement
Original
2014
Closest in time.
A. Shindler, Chiral Ward identities, automatic O(a) improvement and the gradient flow
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2013

Cited alongside, same era.

L. Del Debbio, A. Patella, and A. Rago, Space-time symmetries and the Yang-Mills gradient flow

2013

Cited alongside, same era.

H. Suzuki, Energy-momentum tensor from the Yang-Mills gradient flow

2013

Cited alongside, same era.

M. Luscher, Future applications of the Yang-Mills gradient flow in lattice QCD

Cited in the paper.

A. Hasenfratz, D. Schaich, and A. Veernala, Nonperturbative beta function of eight-flavor SU(3) gauge theory

Cited in the paper.

P. Fritzsch and A. Ramos, Studying the gradient flow coupling in the Schrödinger functional

Cited in the paper.

A. Ramos, The gradient flow in a twisted box

Cited in the paper.

H. Makino and H. Suzuki, Lattice energy-momentum tensor from the Yang-Mills gradient flow – a simpler prescription

Cited in the paper.

2014

Closest in time.

O. Bar and M. Golterman, Chiral perturbation theory for gradient flow observables

2014

Closest in time.

K. Kikuchi and T. Onogi, Generalized Gradient Flow Equation and Its Application to Super Yang-Mills Theory

2014

Closest in time.