U_A(1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action

Ohno H, Heller UM, Karsch F, Mukherjee S (2012)
In: PoS Lattice (2012)095. Leineweber D, Kamleh W, Mahbub S, Matevosyan H, Thomas A, Williams A, Young R, Zanotti J (Eds);.

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Leineweber, Derek ; Kamleh, Waseem ; Mahbub, Selim ; Matevosyan, Hryar ; Thomas, Anthony ; Williams, Anthony ; Young, Ross ; Zanotti, James
Abstract
We investigate $U_A(1)$ breaking above $T_c$ in terms of the Dirac spectrumon configurations with (2+1)-flavors, using the HISQ action. The strange quarkmass is at its physical value. We use several light quark masses correspondingto the Goldstone pion masses in the range of about 115 -- 230 MeV on latticesof size 32$^3 \times$8 and 48$^3 \times$8. We calculate the 100 lowest-lyingDirac eigenvalues at temperatures below and above $T_c$. We investigate thevolume dependence of the Dirac eigenvalue density to determine whether there isa gap around zero, which can appear if $U_A(1)$ symmetry is restored in thechiral symmetric phase. We also investigate the quark mass dependence of theDirac eigenvalue density at zero and check whether there is a linear behaviorthat would signal the $U_A(1)$ breaking above $T_c$.
Publishing Year
Conference
30th International Symposium on Lattice Field Theory (Lattice 2012)
Location
Cairns, Australia
Conference Date
2012-06-24 – 2012-06-29
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Ohno H, Heller UM, Karsch F, Mukherjee S. U_A(1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action. In: Leineweber D, Kamleh W, Mahbub S, et al., eds. PoS Lattice (2012)095. 2012.
Ohno, H., Heller, U. M., Karsch, F., & Mukherjee, S. (2012). U_A(1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action. In D. Leineweber, W. Kamleh, S. Mahbub, H. Matevosyan, A. Thomas, A. Williams, R. Young, et al. (Eds.), PoS Lattice (2012)095.
Ohno, H., Heller, U. M., Karsch, F., and Mukherjee, S. (2012). “U_A(1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action” in PoS Lattice (2012)095, ed. D. Leineweber, W. Kamleh, S. Mahbub, H. Matevosyan, A. Thomas, A. Williams, R. Young, and J. Zanotti.
Ohno, H., et al., 2012. U_A(1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action. In D. Leineweber, et al., eds. PoS Lattice (2012)095.
H. Ohno, et al., “U_A(1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action”, PoS Lattice (2012)095, D. Leineweber, et al., eds., 2012.
Ohno, H., Heller, U.M., Karsch, F., Mukherjee, S.: U_A(1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action. In: Leineweber, D., Kamleh, W., Mahbub, S., Matevosyan, H., Thomas, A., Williams, A., Young, R., and Zanotti, J. (eds.) PoS Lattice (2012)095. (2012).
Ohno, H., Heller, U. M., Karsch, Frithjof, and Mukherjee, Swagato. “U_A(1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action”. PoS Lattice (2012)095. Ed. Derek Leineweber, Waseem Kamleh, Selim Mahbub, Hryar Matevosyan, Anthony Thomas, Anthony Williams, Ross Young, and James Zanotti. 2012.
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