Nov 11, 2015
Non-trivial Center Dominance in High Temperature QCD
Modern Physics Letters A
- ,
- ,
- ,
- Volume
- 31
- Number
- 25
- Language
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1142/S0217732316501509
We investigate the properties of quarks and gluons above the chiral phase
transition temperature $T_c,$ using the RG improved gauge action and the Wilson
quark action with two degenerate quarks mainly on a $32^3\times 16$ lattice. In
the one-loop perturbation theory, the thermal ensemble is dominated by the
gauge configurations with effectively $Z(3)$ center twisted boundary
conditions, making the thermal expectation value of the spatial Polyakov loop
take a non-trivial $Z(3)$ center. This is in agreement with our lattice
simulation of high temperature QCD. We further observe that the temporal
propagator of massless quarks at extremely high temperature $\beta=100.0 \, (T
\simeq10^{58} T_c)$ remarkably agrees with the temporal propagator of free
quarks with the $Z(3)$ twisted boundary condition for $t/L_t \geq 0.2$, but
differs from that with the $Z(3)$ trivial boundary condition. As we increase
the mass of quarks $m_q$, we find that the thermal ensemble continues to be
dominated by the $Z(3)$ twisted gauge field configurations as long as $m_q \le
3.0 \, T$ and above that the $Z(3)$ trivial configurations come in. The
transition is essentially identical to what we found in the departure from the
conformal region in the zero-temperature many-flavor conformal QCD on a finite
lattice by increasing the mass of quarks. We argue that the behavior is
consistent with the renormalization group analysis at finite temperature.
transition temperature $T_c,$ using the RG improved gauge action and the Wilson
quark action with two degenerate quarks mainly on a $32^3\times 16$ lattice. In
the one-loop perturbation theory, the thermal ensemble is dominated by the
gauge configurations with effectively $Z(3)$ center twisted boundary
conditions, making the thermal expectation value of the spatial Polyakov loop
take a non-trivial $Z(3)$ center. This is in agreement with our lattice
simulation of high temperature QCD. We further observe that the temporal
propagator of massless quarks at extremely high temperature $\beta=100.0 \, (T
\simeq10^{58} T_c)$ remarkably agrees with the temporal propagator of free
quarks with the $Z(3)$ twisted boundary condition for $t/L_t \geq 0.2$, but
differs from that with the $Z(3)$ trivial boundary condition. As we increase
the mass of quarks $m_q$, we find that the thermal ensemble continues to be
dominated by the $Z(3)$ twisted gauge field configurations as long as $m_q \le
3.0 \, T$ and above that the $Z(3)$ trivial configurations come in. The
transition is essentially identical to what we found in the departure from the
conformal region in the zero-temperature many-flavor conformal QCD on a finite
lattice by increasing the mass of quarks. We argue that the behavior is
consistent with the renormalization group analysis at finite temperature.
- Link information
-
- DOI
- https://doi.org/10.1142/S0217732316501509
- arXiv
- http://arxiv.org/abs/arXiv:1511.03411
- URL
- http://arxiv.org/abs/1511.03411v3
- URL
- http://arxiv.org/pdf/1511.03411v3 Open access
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84979680547&origin=inward
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84979680547&origin=inward
- ID information
-
- DOI : 10.1142/S0217732316501509
- ISSN : 0217-7323
- arXiv ID : arXiv:1511.03411
- SCOPUS ID : 84979680547