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2013

Chiral perturbation theory for gradient flow observables

Bar, Oliver, Golterman, Maarten

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We construct the next-to-leading order chiral lagrangian for scalar and pseudo-scalar densities defined using the gradient flow.

We calculate the chiral condensate and the pion decay constant to this order from operators at positive flow time, and confirm results obtained earlier in the chiral limit.
We also calculate the quark mass dependence of the scales $t_0$ and $w_0$ defined from the scalar gluon density and find that nonanalytic terms in the quark mass only enter at next-to-next-to-leading order.

Chiral perturbation theory for gradient flow observables · Around

Built on

J. Gasser and H. Leutwyler, Annals Phys. 158
1984
Earlier work this paper cites.
J. Gasser and H. Leutwyler, Nucl. Phys. B 250
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Earlier work this paper cites.
J. Gasser and H. Leutwyler, Nucl. Phys. B 307
1988
Earlier work this paper cites.

Similar

R. Sommer, Nucl. Phys. B 411
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M. Lüscher, JHEP 1008
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2010
Cited alongside, same era.
M. Lüscher, arXiv:1308.5598 [hep-lat]
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Cited in the paper.
M. Bruno and R. Sommer, arXiv:1311.5585 [hep-lat]
Original
Cited in the paper.
M. Golterman, arXiv:0912.4042 [hep-lat]
Original
Cited in the paper.

Then

S. Borsanyi, S. Dürr, Z. Fodor, C. Hoelbling, S. D. Katz, S. Krieg, T. Kurth and L. Lellouch et al
Original
2012
Later among the works it cites.
M. Lüscher, JHEP 1304
Original
2013
Closest in time.
For a review, see R. Sommer, Scale Setting in Lattice QCD
2013
Closest in time.

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