# Constant contribution in meson correlators at finite temperature

## Abstract

We discuss a constant contribution to meson correlators at finite temperature. In the deconfinement phase of QCD, a colored single quark state is allowed as a finite energy state, which yields to a contribution of wraparound quark propagation to temporal meson correlators. We investigate the effects in the free quark case and quenched QCD at finite temperature. The 'scattering' contribution causes a constant mode in meson correlators with zero spatial momentum and degenerate quark masses, which can dominate the correlators in the region of large imaginary times. In the free spectral function, the contribution yields a term proportional to {omega}{delta}({omega}). Therefore this contribution is related to transport phenomena in the quark gluon plasma. It is possible to distinguish the constant contribution from the other part using several analysis methods proposed in this paper. As a result of the analyses, we find that drastic changes in charmonium correlators for {chi}{sub c} states just above the deconfinement transition are due to the constant contribution. The other differences in the {chi}{sub c} states are small. It may indicate the survival of {chi}{sub c} states after the deconfinement transition until, at least, 1.4T{sub c}.

- Authors:

- Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)

- Publication Date:

- OSTI Identifier:
- 21020497

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.75.094502; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHI0-3415 MESONS; CHI1-3510 MESONS; CHI2-3555 MESONS; COLOR MODEL; QUANTUM CHROMODYNAMICS; QUARK MATTER; QUARKS; REST MASS; SPECTRAL FUNCTIONS

### Citation Formats

```
Umeda, Takashi.
```*Constant contribution in meson correlators at finite temperature*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.094502.

```
Umeda, Takashi.
```*Constant contribution in meson correlators at finite temperature*. United States. doi:10.1103/PHYSREVD.75.094502.

```
Umeda, Takashi. Tue .
"Constant contribution in meson correlators at finite temperature". United States.
doi:10.1103/PHYSREVD.75.094502.
```

```
@article{osti_21020497,
```

title = {Constant contribution in meson correlators at finite temperature},

author = {Umeda, Takashi},

abstractNote = {We discuss a constant contribution to meson correlators at finite temperature. In the deconfinement phase of QCD, a colored single quark state is allowed as a finite energy state, which yields to a contribution of wraparound quark propagation to temporal meson correlators. We investigate the effects in the free quark case and quenched QCD at finite temperature. The 'scattering' contribution causes a constant mode in meson correlators with zero spatial momentum and degenerate quark masses, which can dominate the correlators in the region of large imaginary times. In the free spectral function, the contribution yields a term proportional to {omega}{delta}({omega}). Therefore this contribution is related to transport phenomena in the quark gluon plasma. It is possible to distinguish the constant contribution from the other part using several analysis methods proposed in this paper. As a result of the analyses, we find that drastic changes in charmonium correlators for {chi}{sub c} states just above the deconfinement transition are due to the constant contribution. The other differences in the {chi}{sub c} states are small. It may indicate the survival of {chi}{sub c} states after the deconfinement transition until, at least, 1.4T{sub c}.},

doi = {10.1103/PHYSREVD.75.094502},

journal = {Physical Review. D, Particles Fields},

number = 9,

volume = 75,

place = {United States},

year = {Tue May 01 00:00:00 EDT 2007},

month = {Tue May 01 00:00:00 EDT 2007}

}