Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data: a case study
We compute the low lying eigenvalues of the Hermitian Dirac operator in lattice QCD with Nf=2+1+1 twisted mass fermions. We discuss whether these eigenvalues are in the ϵ-regime or the p-regime of Wilson chiral perturbation theory (χPT) for twisted mass fermions. Reaching the deep ϵ-regime is practi...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2019
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| In: |
Computer physics communications
Year: 2018, Volume: 237, Pages: 143-153 |
| ISSN: | 1879-2944 |
| DOI: | 10.1016/j.cpc.2018.11.020 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1016/j.cpc.2018.11.020 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0010465518304120 
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| Author Notes: | Krzysztof Cichy, Savvas Zafeiropoulos |
| Summary: | We compute the low lying eigenvalues of the Hermitian Dirac operator in lattice QCD with Nf=2+1+1 twisted mass fermions. We discuss whether these eigenvalues are in the ϵ-regime or the p-regime of Wilson chiral perturbation theory (χPT) for twisted mass fermions. Reaching the deep ϵ-regime is practically unfeasible with presently typical simulation parameters, but still the few lowest eigenvalues of the employed ensemble evince some characteristic ϵ-regime features. With this conclusion in mind, we develop a fitting strategy to extract two low energy constants from analytical ϵ-regime predictions at a fixed index. Thus, we obtain results for the chiral condensate and the low energy constant W8. We also discuss how to improve both the theoretical calculation and the lattice computation. |
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| Item Description: | Available online 8 December 2018 Gesehen am 06.08.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1879-2944 |
| DOI: | 10.1016/j.cpc.2018.11.020 |