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- W4310921837 abstract "This study examines the effects of external magnetic fields on monopoles, spectra of the overlap Dirac operator, instantons, and mass of the eta-prime meson by conducting lattice QCD simulations. The uniform external magnetic fields are applied to gauge field configurations with $N_{f}$ = 2 + 1 flavor quarks, whose bare masses are set to the physical pion mass. The standard configurations and the configurations with the external magnetic fields impressed are generated in color confinement and deconfinement phases. The intensity of the external magnetic fields varies from $e|B|$ = 0.57 to 1.14 [GeV$^{2}$]. To examine the influence of the external magnetic fields on monopoles, first, we calculate the monopole density, measure the lengths of the monopole loops, and compare them with the absolute value of the Polyakov loops. Next, using the generated configurations, we compute the eigenvalues and eigenvectors of the overlap Dirac operator, which preserves the exact chiral symmetry. To investigate how the external magnetic fields affect the spectra of the overlap Dirac operator, we compute spectral densities, compare the fluctuations of the eigenvalues of the overlap Dirac operator with the predictions of random matrix theory, and estimate the number of instantons and anti-instantons from the topological charges. In addition, we analyze smearing effects on these observables and chiral symmetry breaking. Finally, we calculate the decay constant of the pseudoscalar meson, the chiral condensate, and the square mass of the eta-prime meson using the eigenvalues and eigenvectors. We then extrapolate the numerical results in the chiral limit and demonstrate the effects of the external magnetic fields on the extrapolation results. This article presents the preliminary results." @default.
- W4310921837 created "2022-12-21" @default.
- W4310921837 creator A5079677436 @default.
- W4310921837 date "2022-12-06" @default.
- W4310921837 modified "2023-10-17" @default.
- W4310921837 title "Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields" @default.
- W4310921837 doi "https://doi.org/10.48550/arxiv.2212.03322" @default.
- W4310921837 hasPublicationYear "2022" @default.
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