Speaker
Description
We determine the role of topology from the eigenmodes, and extract the chiral condensate from the eigenvalue density of minimally doubled fermions (MDF), namely in Karsten-Wilczek (KW) and Borici-Creutz (BC) formulations. We employ MILC asqtad ensembles with $N_f=2+1$ dynamical flavors of quarks [1] as backgroud gauge fields. Using flavored mass terms [2,3], we find that the spectral flow of the eigenvalues correctly detects the topology of the background gauge field. The modified chiralities of the zero eigenmodes take the value $\approx0.9$. The non-zero eigenmodes have chiralities of $\mathcal{O}(10^{-2})$ and form clusters of doublets. The chiral condensate extracted via the eigenvalue density using the Banks-Casher relation is compared to the direct calculation of the chiral condensate obtained by inverting the Dirac matrix.
[1] C. W. Bernard, T. Burch, K. Orginos, D. Toussaint, T. A. DeGrand, C. E. Detar, S. Datta, S. A. Gottlieb, U. M. Heller, and R. Sugar, Phys. Rev. D 64, 054506 (2001), arXiv:hep-lat/0104002.
[2] M. Creutz, T. Kimura, and T. Misumi, JHEP 12, 041, arXiv:1011.0761 [hep-lat].
[3] S. Dürr and J. H. Weber, Phys. Rev. D 105, 114511 (2022), arXiv:2203.15699 [hep-lat].
| Parallel Session (for talks only) | Theoretical developments and applications beyond Standard Model |
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