O(a) improved twisted mass lattice QCD

Details O(a) improved twisted mass lattice QCD O(a) improved twisted mass lattice QCD

2001-04-25

arxiv.org/abs/hep-lat/0104014v1

JHEP 0107:048,2001

Physics

High Energy Physics

High Energy Physics - Lattice

31 pages latex, no figures

Scientific paper

10.1088/1126-6708/2001/07/048

Lattice QCD with Wilson quarks and a chirally twisted mass term (tmQCD) has been introduced in refs. [1,2]. We here apply Symanzik's improvement programme to this theory and list the counterterms which arise at first order in the lattice spacing a. Based on the generalised transfer matrix, we define the tmQCD Schrodinger functional and use it to derive renormalized on-shell correlation functions. By studying their continuum approach in perturbation theory we then determine the new O(a) counterterms of the action and of a few quark bilinear operators to one-loop order.

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