Fetching the paper…

Reading the bibliography…

2018

Gradient flow and the Wilsonian renormalization group flow

Makino, Hiroki, Morikawa, Okuto, Suzuki, Hiroshi

Original
PDF
Post on X

Understand

The gradient flow is the evolution of fields and physical quantities along a dimensionful parameter~$t$, the flow time.

We give a simple argument that relates this gradient flow and the Wilsonian renormalization group (RG) flow.
We then illustrate the Wilsonian RG flow on the basis of the gradient flow in two examples that possess an infrared fixed point, the 4D many-flavor gauge theory and the 3D $O(N)$ linear sigma model.

Gradient flow and the Wilsonian renormalization group flow · Around

Built on

K. G. Wilson and M. E. Fisher, Phys. Rev. Lett. 28
1972
Earlier work this paper cites.
K. G. Wilson and J. B. Kogut, Phys. Rept. 12
1974
Earlier work this paper cites.
W. E. Caswell, Phys. Rev. Lett. 33
1974
Earlier work this paper cites.
T. Banks and A. Zaks, Nucl. Phys. B 196
1982
Earlier work this paper cites.
R. Narayanan and H. Neuberger, JHEP 0603
2006
Earlier work this paper cites.
M. Lüscher, Commun. Math. Phys. 293
Original
2010
Earlier work this paper cites.

Similar

M. Lüscher and P. Weisz, JHEP 1102
Original
2011
Cited alongside, same era.
M. Lüscher, JHEP 1304
Original
2013
Cited alongside, same era.
M. Lüscher, JHEP 1008
Original
2014
Cited alongside, same era.
M. Lüscher, PoS LATTICE 2013
Original
2014
Cited alongside, same era.
S. Aoki, K. Kikuchi and T. Onogi, PTEP 2015
Original
2015
Cited alongside, same era.
H. Makino and H. Suzuki, PTEP 2014

Then

R. Yamamura, PTEP 2016
Original
2016
Later among the works it cites.
S. Aoki, J. Balog, T. Onogi and P. Weisz, PTEP 2016
Original
2016
Later among the works it cites.
R. V. Harlander and T. Neumann, JHEP 1606
Original
2016
Later among the works it cites.
F. Capponi, A. Rago, L. Del Debbio, S. Ehret and R. Pellegrini, PoS LATTICE 2015
Original
2016
Later among the works it cites.
S. Aoki, J. Balog, T. Onogi and P. Weisz, PTEP 2017
Original
2017
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2015

Cited alongside, same era.

A. Kagimura, A. Tomiya and R. Yamamura, arXiv:1508.04986 [hep-lat]

Cited in the paper.

S. Aoki and S. Yokoyama, arXiv:1707.03982 [hep-th]

Cited in the paper.

S. Aoki and S. Yokoyama, arXiv:1709.07281 [hep-th]

Cited in the paper.