Abstract
We present results for screening masses of mesons built from light and strange quarks in the temperature range of approximately between 140 MeV to 800 MeV. The lattice computations were performed with 2+1 dynamical light and strange flavors of improved (p4) staggered fermions along a line of constant physics defined by a pion mass of about 220 MeV and a kaon mass of 500 MeV. The lattices had temporal extents N τ =4, 6 and 8 and aspect ratios of N s /N τ ≥4. At least up to a temperature of 140 MeV the pseudo-scalar screening mass remains almost equal to the corresponding zero temperature pseudo-scalar (pole) mass. At temperatures around 3T c (T c being the transition temperature) the continuum extrapolated pseudo-scalar screening mass approaches very close to the free continuum result of 2πT from below. On the other hand, at high temperatures the vector screening mass turns out to be larger than the free continuum value of 2πT. The pseudo-scalar and the vector screening masses do not become degenerate even for a temperature as high as 4T c . Using these mesonic spatial correlation functions we have also investigated the restoration of chiral symmetry and the effective restoration of the axial symmetry. We have found that the vector and the axial-vector screening correlators become degenerate, indicating chiral symmetry restoration, at a temperature which is consistent with the QCD transition temperature obtained in previous studies. On the other hand, the pseudo-scalar and the scalar screening correlators become degenerate only at temperatures larger than 1.3T c , indicating that the effective restoration of the axial symmetry takes place at a temperature larger than the QCD transition temperature.
Similar content being viewed by others
References
C. DeTar, J.B. Kogut, Phys. Rev. Lett. 59, 399 (1987)
C. DeTar, J.B. Kogut, Phys. Rev. D 36, 2828 (1987)
E.V. Shuryak, Comments Nucl. Phys. 21, 235 (1994)
S.H. Lee, T. Hatsuda, Phys. Rev. D 54, 1871 (1996)
N. Evans, S.D.H. Hsu, M. Schwetz, Phys. Lett. B 375, 262 (1996)
M.C. Birse, T.D. Cohen, J.A. McGovern, Phys. Lett. B 388, 137 (1996)
M.C. Birse, T.D. Cohen, J.A. McGovern, Phys. Lett. B 399, 263 (1997)
J.B. Kogut, J.F. Lagaë, D.K. Sinclair, Phys. Rev. D 58, 054504 (1998)
G.V. Dunne, A. Kovner, Phys. Rev. D 82, 065014 (2010)
T. Appelquist, R.D. Pisarski, Phys. Rev. D 23, 2305 (1981)
R. Gavai, S. Gupta, Phys. Rev. Lett. 85, 2068 (2000)
M. Cheng et al., Phys. Rev. D 78, 034506 (2008)
M. Laine, Y. Schröder, J. High Energy Phys. 03, 067 (2005)
M. Laine, Y. Schröder, PoS LAT2005, 180 (2006)
W. Florkowski, B. Friman, Z. Phys. A 347, 271 (1994)
M. Laine, M. Vepsäläinen, J. High Energy Phys. 02, 004 (2004)
W.M. Alberico, A. Beraudo, A. Czerska, P. Czerski, A. Molinari, Nucl. Phys. A 792, 152 (2007)
F. Karsch, E. Laermann, in Quark Gluon Plasma 3, ed. by R. Hwa, H.N. Wang (World Scientific, Singapore, 2004), arXiv:hep-lat/0305025
R. Gavai, S. Gupta, Phys. Rev. D 67, 034501 (2003)
S. Wissel et al., PoS LAT2005, 164 (2006)
E. Laermann, PoS LAT2008, 193 (2008)
R. Gavai, S. Gupta, R. Lacaze, Phys. Rev. D 78, 014502 (2008)
U.M. Heller, F. Karsch, B. Sturm, Phys. Rev. D 60, 114502 (1999)
S. Mukherjee, PoS LAT2007, 210 (2007)
S. Mukherjee, Nucl. Phys. A 820, 283c (2009)
S. Mukherjee, PoS Confinement 8, 116 (2009)
H. Kluberg-Stern et al., Nucl. Phys. B 220, 447 (1983)
M.F.L. Golterman, Nucl. Phys. B 273, 663 (1986)
R. Altmeyer et al., Nucl. Phys. B 389, 445 (1993)
S. Gupta, Phys. Rev. D 60, 094505 (1999)
I. Horváth, A.D. Kennedy, S. Sint, Nucl. Phys. Proc. Suppl. 73, 834 (1999)
M.A. Clark, A.D. Kennedy, Z. Sroczynski, Nucl. Phys. Proc. Suppl. 140, 835 (2005)
M.A. Clark, A.D. Kennedy, Phys. Rev. Lett. 98, 051601 (2007)
M. Cheng et al., Phys. Rev. D 77, 014511 (2008)
A. Bazavov et al., Phys. Rev. D 80, 014504 (2009)
R. Sommer, Nucl. Phys. B 411, 839 (1994)
A. Gray et al., Phys. Rev. D 72, 094507 (2005)
C. Bernard et al., Phys. Rev. D 76, 094504 (2007)
R.D. Pisarski, F. Wilczek, Phys. Rev. D 29, 338 (1984)
F. Basile, A. Pelissetto, E. Vicari, PoS LAT2005, 199 (2006)
S. Chandrasekharan, A.C. Mehta, Phys. Rev. Lett. 99, 142004 (2007)
M. D’Elia, A.D. Giacomo, C. Pica, Phys. Rev. D 72, 114510 (2005)
K. Petrov, PoS LAT2007, 217 (2007)
O. Kaczmarek, PoS CPOD07, 048 (2007)
V. Koch et al., Phys. Rev. D 46, 3169 (1992)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cheng, M., Datta, S., Francis, A. et al. Meson screening masses from lattice QCD with two light quarks and one strange quark. Eur. Phys. J. C 71, 1564 (2011). https://doi.org/10.1140/epjc/s10052-011-1564-y
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjc/s10052-011-1564-y