Toward Group Theory Operators for tmLQCD Hadrons
Derek Harnett, Randy Lewis, Robert G. Petry
TL;DR
This paper develops group theory-based operators for twisted mass lattice QCD to improve the extraction of hadron mass spectra, accounting for broken symmetries and lattice constraints.
Contribution
It introduces specialized meson operators respecting lattice symmetries and broken symmetries for more accurate spectral analysis in twisted mass lattice QCD.
Findings
Constructed operators that respect octahedral symmetry
Operators accommodate broken parity and flavor symmetries
Facilitates more precise mass spectrum extraction
Abstract
Extraction of the mass spectrum from twisted mass lattice QCD is facilitated by respecting the octahedral group of rotations and accommodating the broken parity and flavor symmetries of the theory. In this work, group theory meson operators adapted to these constraints are constructed for the special case of quark and antiquark fields at a common lattice site, connected by extended gauge field paths.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · Black Holes and Theoretical Physics