Chiral phase transition and spin alignment of vector mesons in the polarized-Polyakov-loop Nambu–Jona-Lasinio model under rotation

By using the analytic continuation method, a polarized Polykov-loop potential at finite real angular velocity is constructed from the lattice results at finite imaginary angular velocity. The chiral and deconfinement phase transitions under rotation have been simultaneously investigated in the polarized-Polyakov-loop Nambu–Jona-Lasinio (PPNJL) model. It is observed that both critical temperatures of deconfinement and chiral phase transition increase with the angular velocity, which is in consistent with lattice results. The spin alignment of vector meson has the negative deviation of

ρ_{00} - 1 / 3

under rotation, and the deviation in the PPNJL model is much more significant than that in the NJL model and the quark coalescence model, which revealing the important role of rotating gluons on the quark polarization.

Note:

10 pages, 6 figures

spin: alignment
critical phenomena: chiral
critical phenomena: deconfinement
model: coalescence
quark: polarization
rotation
velocity
Jona-Lasinio-Nambu model
Polyakov loop
vector meson

References(94)

Figures(8)

[1]

Experimenteller Nachweis der Ampèreschen Molekularströme

A. Einstein
,
W.J. de Haas

- Verhandl. Deut. Phys. Ges. 17 (1915) 152

[2]

Magnetization by Rotation

S.J. Barnett

- Phys.Rev. 6 (1915) 4, 239
•
DOI:
- 10.1103/PhysRev.6.239

[3]

Gyromagnetic and Electron-Inertia Effects

S.J. Barnett

- Rev.Mod.Phys. 7 (1935) 2, 129
•
DOI:
- 10.1103/RevModPhys.7.129

[4]

Angular momentum conservation in heavy ion collisions at very high energy

F. Becattini
(
- Florence U. and
- INFN, Florence
)
,
F. Piccinini
(
- INFN, Pavia
)
,
J. Rizzo
(
- Florence U.
)

- Phys.Rev.C 77 (2008) 024906
•
e-Print:
- 0711.1253
•
DOI:
- 10.1103/PhysRevC.77.024906

[5]

Global $\Lambda$ polarization in heavy-ion collisions from a transport model

Hui Li
(
- Hefei, CUST
)
,
Long-Gang Pang
(
- Frankfurt U., FIAS
)
,
Qun Wang
(
- Hefei, CUST
)
,
Xiao-Liang Xia
(
- Hefei, CUST
)

- Phys.Rev.C 96 (2017) 5, 054908
•
e-Print:
- 1704.01507
•
DOI:
- 10.1103/PhysRevC.96.054908

[6]

Globally polarized quark-gluon plasma in non-central A+A collisions

Zuo-Tang Liang
(
- Shandong U.
)
,
Xin-Nian Wang
(
- LBL, Berkeley and
- Shandong U.
)

- Phys.Rev.Lett. 94 (2005) 102301,
- Phys.Rev.Lett. 96 (2006) 039901 (erratum)
•
e-Print:
- nucl-th/0410079
•
DOI:
- 10.1103/PhysRevLett.94.102301

[6]

Globally polarized quark-gluon plasma in non-central A+A collisions

Zuo-Tang Liang
(
- Shandong U.
)
,
Xin-Nian Wang
(
- LBL, Berkeley and
- Shandong U.
)

- Phys.Rev.Lett. 94 (2005) 102301,
- Phys.Rev.Lett. 96 (2006) 039901 (erratum)
•
e-Print:
- nucl-th/0410079
•
DOI:
- 10.1103/PhysRevLett.94.102301

[7]

Spin alignment of vector mesons in non-central A+A collisions

Zuo-Tang Liang
(
- Shandong U.
)
,
Xin-Nian Wang
(
- LBL, Berkeley and
- Shandong U.
)

- Phys.Lett.B 629 (2005) 20-26
•
e-Print:
- nucl-th/0411101
•
DOI:
- 10.1016/j.physletb.2005.09.060

[8]

Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid

STAR

Collaboration

•

L. Adamczyk
(
- AGH-UST, Cracow
)

et al.

- Nature 548 (2017) 62-65
•
e-Print:
- 1701.06657
•
DOI:
- 10.1038/nature23004

[9]

Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{_{NN}}}$ = 200 GeV

STAR

Collaboration

•

Jaroslav Adam
(
- Creighton U.
)

et al.

- Phys.Rev.C 98 (2018) 014910
•
e-Print:
- 1805.04400
•
DOI:
- 10.1103/PhysRevC.98.014910

[10]

Global Polarization of $\Xi$ and $\Omega$ Hyperons in Au+Au Collisions at $\sqrt {s_{NN}}$ = 200 GeV

STAR

Collaboration

•

J. Adam
(
- Brookhaven
)

et al.

- Phys.Rev.Lett. 126 (2021) 16, 162301,
- Phys.Rev.Lett. 131 (2023) 8, 089901 (erratum)
•
e-Print:
- 2012.13601
•
DOI:
- 10.1103/PhysRevLett.126.162301

[10]

Global Polarization of $\Xi$ and $\Omega$ Hyperons in Au+Au Collisions at $\sqrt {s_{NN}}$ = 200 GeV

STAR

Collaboration

•

J. Adam
(
- Brookhaven
)

et al.

- Phys.Rev.Lett. 126 (2021) 16, 162301,
- Phys.Rev.Lett. 131 (2023) 8, 089901 (erratum)
•
e-Print:
- 2012.13601
•
DOI:
- 10.1103/PhysRevLett.126.162301