Built on

H. Leutwyler and A.V. Smilga, Phys. Rev. D 46
1992
Earlier work this paper cites.
C. W. Bernard and M. F. L. Golterman, Phys. Rev. D 49
1994
Earlier work this paper cites.
S. Sharpe and N. Shoresh, Phys. Rev. D 64
2001
Earlier work this paper cites.

Similar

R. Brower, S. Chandrasekharan, J.W. Negele and U.-J. Wiese, Phys. Lett. B. 560
2003
Cited alongside, same era.
C. Aubin and C. Bernard, Phys. Rev. D 68
2004
Cited alongside, same era.
M. Golterman, S. Sharpe and R. Singleton, Jr., Phys. Rev. D 71
2005
Cited alongside, same era.

Then

S. Aoki, H. Fukaya, S. Hashimoto and T. Onogi, Phys. Rev. D76
Original
2007
Later among the works it cites.
S. Aoki and H. Fukaya, Phys. Rev. D 81
2010
Later among the works it cites.
A. Bazavov et al
Original
2014
Later among the works it cites.

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2016

Non-equilibration of topological charge and its effects

Bernard, Claude, Toussaint, Doug

Understand

In QCD simulations at small lattice spacings, the topological charge Q evolves very slowly and, if this quantity is not properly equilibrated, we could get incorrect results for physical quantities, or incorrect estimates of their errors.

We use the known relation between the dependence of masses and decay constants on the QCD vacuum angle theta and the squared topological charge Q^2 together with chiral perturbation theory results for the dependence of masses and decay constants on theta to estimate the size of these effects and suggest strategies for dealing with them.
For the partially quenched case, we sketch an alternative derivation of the known $\chi$PT results of Aoki and Fukaya, using the nonperturbatively correct chiral theory worked out by Golterman, Sharpe and Singleton, and by Sharpe and Shoresh.
With the MILC collaboration's ensembles of lattices with four flavors of HISQ dynamical quarks, we measure the $Q^2$ dependence of masses and decay constants and compare to the $\chi$PT forms.