Lattice QCD with a chiral twist

Details Lattice QCD with a chiral twist Lattice QCD with a chiral twist

2007-02-05

arxiv.org/abs/hep-lat/0702008v1

Physics

High Energy Physics

High Energy Physics - Lattice

40 pages, 7 figures; lectures presented at the School "Perspectives in Lattice Gauge Theories", Nara, Japan, October 31 - Nove

Scientific paper

In these lectures I explain how chiral symmetry of continuum QCD naturally leads to a class of lattice regularisations known as twisted mass QCD (tmQCD). As compared to standard Wilson quarks, its advantages are the absence of unphysical zero modes, the possibility to circumvent lattice renormalisation problems and automatic O(a) improvement. On the other hand, the physical parity and flavour symmetries are explicitly broken. I discuss these aspects and then turn to the theory in a finite space-time volume with Schroedinger functional boundary conditions. Again, chiral transformations of the continuum theory may be used as a guide to formulate an alternative lattice regularisation of the Schr\"odinger functional, with interesting applications to renormalization problems in QCD.

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