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Automatic O$(a)$ improvement for twisted-mass QCD
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abstract
We present a condition for automatic O$(a)$ improvement in twisted mass lattice QCD, using symmetries of the Symanzik effective theory. If the continuum part of the Symanzik effective theory is invariant under a particular transformation, named $T_1$ in this report, scaling violations of all quantities invariant under $T_1$ transformation are even in the lattice spacing $a$. On the other hand, quantities non-invariant under $T_1$ vanish in the continuum limit with odd powers in $a$. We prove this statement even for the massive case without using the equation of motion. We also consider a few different criteria for the $T_1$ invariant condition in lattice theories and discuss ambiguities of the lattice condition for O$(a)$ improvement.
Forward citations
Cited by 1 Pith paper
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Logarithmic corrections to O($a^2$) effects in lattice QCD with unrooted Staggered quarks
Spectral lattice artifacts for unrooted staggered quarks scale as a^2 [2 b0 gbar^2(1/a)]^gamma, with the smallest exponents near -0.3 for N_f=0,4 and near -0.9 and -2.6 for N_f=8,12.
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