TL;DR
This paper reviews Wilson twisted mass lattice QCD, focusing on its theoretical basis, discretization errors, phase structure effects, and the use of different lattice actions for sea and valence quarks to improve simulations.
Contribution
It provides a comprehensive overview of the foundations, properties, and simulation results of Wilson twisted mass lattice QCD, highlighting discretization errors and action choices.
Findings
Discretization errors significantly affect phase structure in Wilson-like fermions.
Using different lattice actions for sea and valence quarks can simplify renormalization.
Simulation results demonstrate the practical viability of twisted mass formulations.
Abstract
I review the theoretical foundations, properties as well as the simulation results obtained so far of a variant of the Wilson lattice QCD formulation: Wilson twisted mass lattice QCD. Emphasis is put on the discretization errors and on the effects of these discretization errors on the phase structure for Wilson-like fermions in the chiral limit. The possibility to use in lattice simulations different lattice actions for sea and valence quarks to ease the renormalization patterns of phenomenologically relevant local operators, is also discussed.
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