Probability distribution functions in the finite density lattice QCD

Ejiri S, Nakagawa Y, Aoki S, Kanaya K, Saito H, Hatsuda T, Ohno H, Umeda T (2012)
In: Proceedings, 30th International Symposium on Lattice Field Theory (Lattice 2012) : Cairns, Australia, June 24-29, 2012. Leinweber DB, Kamleh W, Mahbub S, Matevosyan HH, Thomas AW, Williams AG, Young R, Zanotti JM (Eds); PoS.

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Leinweber, Derek Bruce ; Kamleh, Waseem ; Mahbub, Selim ; Matevosyan, Hrayr H. ; Thomas, Anthony William ; Williams, Anthony Gordon ; Young, Ross ; Zanotti, James M.
Abstract
We study the phase structure of QCD at high temperature and density by lattice QCD simulations adopting a histogram method. We try to solve the problems which arise in the numerical study of the finite density QCD, focusing on the probability distribution function (histogram). As a first step, we investigate the quark mass dependence and the chemical potential dependence of the probability distribution function as a function of the Polyakov loop when all quark masses are sufficiently large, and study the properties of the distribution function. The effect from the complex phase of the quark determinant is estimated explicitly. The shape of the distribution function changes with the quark mass and the chemical potential. Through the shape of the distribution, the critical surface which separates the first order transition and crossover regions in the heavy quark region is determined for the 2+1-flavor case.
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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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Ejiri S, Nakagawa Y, Aoki S, et al. Probability distribution functions in the finite density lattice QCD. In: Leinweber DB, Kamleh W, Mahbub S, et al., eds. Proceedings, 30th International Symposium on Lattice Field Theory (Lattice 2012) : Cairns, Australia, June 24-29, 2012. PoS; 2012.
Ejiri, S., Nakagawa, Y., Aoki, S., Kanaya, K., Saito, H., Hatsuda, T., Ohno, H., et al. (2012). Probability distribution functions in the finite density lattice QCD. In D. B. Leinweber, W. Kamleh, S. Mahbub, H. H. Matevosyan, A. W. Thomas, A. G. Williams, R. Young, et al. (Eds.), Proceedings, 30th International Symposium on Lattice Field Theory (Lattice 2012) : Cairns, Australia, June 24-29, 2012 PoS.
Ejiri, S., Nakagawa, Y., Aoki, S., Kanaya, K., Saito, H., Hatsuda, T., Ohno, H., and Umeda, T. (2012). “Probability distribution functions in the finite density lattice QCD” in Proceedings, 30th International Symposium on Lattice Field Theory (Lattice 2012) : Cairns, Australia, June 24-29, 2012, Leinweber, D. B., Kamleh, W., Mahbub, S., Matevosyan, H. H., Thomas, A. W., Williams, A. G., Young, R., and Zanotti, J. M. eds. (PoS).
Ejiri, S., et al., 2012. Probability distribution functions in the finite density lattice QCD. In D. B. Leinweber, et al., eds. Proceedings, 30th International Symposium on Lattice Field Theory (Lattice 2012) : Cairns, Australia, June 24-29, 2012. PoS.
S. Ejiri, et al., “Probability distribution functions in the finite density lattice QCD”, Proceedings, 30th International Symposium on Lattice Field Theory (Lattice 2012) : Cairns, Australia, June 24-29, 2012, D.B. Leinweber, et al., eds., PoS, 2012.
Ejiri, S., Nakagawa, Y., Aoki, S., Kanaya, K., Saito, H., Hatsuda, T., Ohno, H., Umeda, T.: Probability distribution functions in the finite density lattice QCD. In: Leinweber, D.B., Kamleh, W., Mahbub, S., Matevosyan, H.H., Thomas, A.W., Williams, A.G., Young, R., and Zanotti, J.M. (eds.) Proceedings, 30th International Symposium on Lattice Field Theory (Lattice 2012) : Cairns, Australia, June 24-29, 2012. PoS (2012).
Ejiri, S., Nakagawa, Y., Aoki, S., Kanaya, K., Saito, H., Hatsuda, T., Ohno, Hiroshi, and Umeda, T. “Probability distribution functions in the finite density lattice QCD”. Proceedings, 30th International Symposium on Lattice Field Theory (Lattice 2012) : Cairns, Australia, June 24-29, 2012. Ed. Derek Bruce Leinweber, Waseem Kamleh, Selim Mahbub, Hrayr H. Matevosyan, Anthony William Thomas, Anthony Gordon Williams, Ross Young, and James M. Zanotti. PoS, 2012.
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