Twisted Mass Finite Volume Effects
Gilberto Colangelo, Urs Wenger, Jackson M. S. Wu
TL;DR
This paper investigates finite volume effects on pion masses and decay constants in twisted mass lattice QCD, highlighting the significance of neutral pion contributions and improving data fits by including these effects.
Contribution
It provides a detailed calculation of finite volume effects in tmLQCD, emphasizing the impact of the neutral pion and enhancing the accuracy of lattice data analysis.
Findings
Neutral pion effects cause exponentially enhanced finite volume corrections.
Including twisted mass effects improves lattice data fits.
Finite volume effects are significant for accurate pion property calculations.
Abstract
We calculate finite volume effects on the pion masses and decay constant in twisted mass lattice QCD (tmLQCD) at finite lattice spacing. We show that the lighter neutral pion in tmLQCD gives rise to finite volume effects that are exponentially enhanced when compared to those arising from the heavier charged pions. We demonstrate that the recent two flavour twisted mass lattice data can be better fitted when twisted mass effects in finite volume corrections are taken into account.
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