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Lattice QCD with a chiral twist

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arxiv hep-lat/0702008 v1 pith:U6NHQRYE submitted 2007-02-05 hep-lat

classification hep-lat
keywords latticechiralcontinuumfunctionalproblemstheoryabsenceadvantages
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Logarithmic corrections to O($a^2$) effects in lattice QCD with unrooted Staggered quarks

    hep-lat 2025-01 conditional novelty 7.0 of 10

    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.

  2. Minimal-doubling and single-Weyl Hamiltonians

    hep-lat 2025-12 unverdicted novelty 6.0 of 10

    Minimal-doubling lattice fermion Hamiltonians yield single-Weyl phases when supplemented by a species-splitting mass term, but one-parameter symmetry-preserving deformations introduce additional Weyl nodes above a cri...

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