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Lattice QCD with a chiral twist

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abstract

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.

fields

hep-lat 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

Minimal-doubling and single-Weyl Hamiltonians

hep-lat · 2025-12-27 · unverdicted · novelty 6.0

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 critical value.

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  • Minimal-doubling and single-Weyl Hamiltonians hep-lat · 2025-12-27 · unverdicted · none · ref 83 · internal anchor

    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 critical value.