Zero mode contribution to quarkonium correlators

1
Zero mode contribution to quarkonium
correlators and heavy quark
kinetics Péter
Petreczky
Physics Department and RIKEN-BNL
in collaboration with S. Datta (TIFR) and A.
Jakovác (Budapest)

• Quarkonium correlators carry information not only
  about bound states
• but also about the properties of the heavy quark
  in the medium
• quantify the corresponding contribution in
  lattice QCD
• learn about in-medium properties of heavy quarks

2
Quarkonium spectral functions
interactions
P.P., Teaney, PRD 73 (2006) 014508
calculate the area under the peak using lattice
QCD !
E.g. free theory

quark number susceptibility
3
Quarkonium correlators in Euclidean time
4
Mócsy, P.P, PRD 77 (2008) 014501
see talk by Á. Mócsy
5
Lattice setup
Datta, Karsch, P.P , Wetzorke, PRD 69 (2004)
094507 Jakovác, Datta, Karsch, P.P, AIP Conf.
Proc. 842 (2006) 35
6
Temperature dependence of quarkonium
Datta, Karsch, P.P , Wetzorke, PRD 69 (2004)
094507
zero mode contribution is not present in the time
derivative of the correlator Umeda, PRD 75 (2007)
094502
7
Temperature dependence of quarkonium
In agreement with previous findings
Mócsy, P.P, PRD 77 (2008) 014501 Umeda, PRD 75
(2007) 094502
8
Temperature dependence of quarkonium
In agreement with potential models
Mócsy, P.P, PRD 77 (2008) 014501
9
Temperature dependence of quarkonium
In agreement with previous findings
Mócsy, P.P, PRD 77 (2008) 014501 Umeda, PRD 75
(2007) 094502
10
Estimating the zero mode contribution
vector
axial-vector
11
Temporal component of the vector correlator
12
Temporal component of the vector correlator
13
Spatial component of the vector correlator
anisotropic data from Jakovác, P.P., Petrov,
Velytsky, PRD 75 (07) 014506
14
Spatial component of the vector correlator
15
Scalar and axial-vector correlators
16
Conclusions and Outlook