Study of Phase Transition in Two-Flavour Quark Matter at Finite Volume

Lahiri, Anirban; Mukherjee, Tamal K.; Ray, Rajarshi

doi:10.1007/978-981-33-4408-2_75

Study of Phase Transition in Two-Flavour Quark Matter at Finite Volume

2021

7 pages

Part of Proceedings, 23rd DAE-BRNS High Energy Physics Symposium 2018 : Chennai, India, 10-15 December, 2018, 543-549

Published in:

Springer Proc.Phys. 261 (2021) 543-549

Contribution to:

23rd DAE-BRNS High Energy Physics Symposium 2018, 543-549

Published: 2021

DOI:

10.1007/978-981-33-4408-2_75

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Abstract: (Springer)

We study some aspects of the phase transition of the finite size droplets with u and d quarks. We modelled the system through the Polyakov Nambu Jona-Lasinio Model (PNJL) and employ multiple reflection expansion to introduce the finite size effects. We discuss the qualitative behaviour of the order parameters, pressure and susceptibilities. We find increased fluctuations around the transition temperature region due to finite size effects and the fluctuations are more for small system size.

25.75.Nq
12.39.-x
11.10.Wx
64.60.an
finite size: effect
temperature: transition
quark: matter
Jona-Lasinio-Nambu model: Polyakov loop
critical phenomena
fluctuation

References(39)

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[1]

The QCD equation of state from the lattice

Owe Philipsen
(
- Frankfurt U.
)

- Prog.Part.Nucl.Phys. 70 (2013) 55-107
•
e-Print:
- 1207.5999
•
DOI:
- 10.1016/j.ppnp.2012.09.003

[2]

Scale for the Phase Diagram of Quantum Chromodynamics

Sourendu Gupta
(
- Tata Inst.
)
,
Xiaofeng Luo
(
- Hefei, CUST and
- LBL, Berkeley
)
,
Bedangadas Mohanty
(
- Calcutta, VECC
)
,
Hans Georg Ritter
(
- LBL, Berkeley
)
,
Nu Xu
(
- Hua-Zhong Normal U. and
- LBL, Berkeley
)

- Science 332 (2011) 1525-1528
•
e-Print:
- 1105.3934
•
DOI:
- 10.1126/science.1204621

[3]

The Order of the quantum chromodynamics transition predicted by the standard model of particle physics

Y. Aoki
(
- Wuppertal U.
)
,
G. Endrodi
(
- Eotvos U.
)
,
Z. Fodor
(
- Wuppertal U. and
- Eotvos U.
)
,
S.D. Katz
(
- Wuppertal U. and
- Eotvos U.
)
,
K.K. Szabo
(
- Wuppertal U.
)

- Nature 443 (2006) 675-678
•
e-Print:
- hep-lat/0611014
•
DOI:
- 10.1038/nature05120

[4]

The QCD transition temperature: results with physical masses in the continuum limit II.

Y. Aoki
(
- RIKEN BNL and
- Brookhaven
)
,
Szabolcs Borsanyi
(
- Wuppertal U.
)
,
Stephan Durr
(
- Julich, Forschungszentrum and
- NIC, Zeuthen and
- DESY, Zeuthen
)
,
Zoltan Fodor
(
- NIC, Zeuthen and
- DESY, Zeuthen and
- Wuppertal U. and
- Julich, Forschungszentrum and
- Eotvos U.
)
,
Sandor D. Katz
(
- Wuppertal U. and
- Eotvos U.
)

et al.

- JHEP 06 (2009) 088
•
e-Print:
- 0903.4155
•
DOI:
- 10.1088/1126-6708/2009/06/088

[5]

Canonical partition function and finite density phase transition in lattice QCD

Shinji Ejiri
(
- Brookhaven
)

- Phys.Rev.D 78 (2008) 074507
•
e-Print:
- 0804.3227
•
DOI:
- 10.1103/PhysRevD.78.074507

[5]

Critical point of $N_f = 3$ QCD from lattice simulations in the canonical ensemble

Anyi Li
(
- Duke U.
)
,
Andrei Alexandru
(
- George Washington U.
)
,
Keh-Fei Liu
(
- Kentucky U.
)

- Phys.Rev.D 84 (2011) 071503
•
e-Print:
- 1103.3045
•
DOI:
- 10.1103/PhysRevD.84.071503

[6]

Phase diagram and critical endpoint for strongly-interacting quarks

Si-xue Qin
(
- Peking U. and
- Peking U., CAPT
)
,
Lei Chang
(
- Peking U. and
- Peking U., CAPT
)
,
Huan Chen
(
- Beijing, Inst. High Energy Phys.
)
,
Yu-xin Liu
(
)
,
Craig D. Roberts
(
- Peking U. and
- Peking U., CAPT and
- Argonne, PHY
)

- Phys.Rev.Lett. 106 (2011) 172301
•
e-Print:
- 1011.2876
•
DOI:
- 10.1103/PhysRevLett.106.172301

[7]

Quark number fluctuations at finite temperature and finite chemical potential via the Dyson-Schwinger equation approach

Xian-yin Xin
(
- Peking U.
)
,
Si-xue Qin
(
- Frankfurt U.
)
,
Yu-xin Liu
(
- Peking U. and
- Peking U., CHEP
)

- Phys.Rev.D 90 (2014) 7, 076006
•
e-Print:
- 2109.09935
•
DOI:
- 10.1103/PhysRevD.90.076006

[8]

Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potential

Christian S. Fischer
(
- Giessen U. and
- Darmstadt, GSI
)
,
Jan Luecker
(
- Giessen U.
)
,
Jens A. Mueller
(
- Darmstadt, Tech. Hochsch.
)

- Phys.Lett.B 702 (2011) 438-441
•
e-Print:
- 1104.1564
•
DOI:
- 10.1016/j.physletb.2011.07.039

[8]

Propagators and phase structure of Nf=2 and Nf=2+1 QCD

Christian S. Fischer
(
- Giessen U. and
- Darmstadt, GSI
)
,
Jan Luecker
(
- Giessen U.
)

- Phys.Lett.B 718 (2013) 1036-1043
•
e-Print:
- 1206.5191
•
DOI:
- 10.1016/j.physletb.2012.11.054

[8]

Phase structure of three and four flavor QCD

Christian S. Fischer
(
- Giessen U.
)
,
Jan Luecker
(
- Heidelberg U. and
- Frankfurt U.
)
,
Christian A. Welzbacher
(
- Giessen U.
)

- Phys.Rev.D 90 (2014) 3, 034022
•
e-Print:
- 1405.4762
•
DOI:
- 10.1103/PhysRevD.90.034022

[9]

Phases of QCD: Lattice thermodynamics and a field theoretical model

Claudia Ratti
(
- Munich, Tech. U.
)
,
Michael A. Thaler
(
- Munich, Tech. U.
)
,
Wolfram Weise
(
- Munich, Tech. U.
)

- Phys.Rev.D 73 (2006) 014019
•
e-Print:
- hep-ph/0506234
•
DOI:
- 10.1103/PhysRevD.73.014019

[10]

The Phase Structure of the Polyakov--Quark-Meson Model

Bernd-Jochen Schaefer
(
- Graz U.
)
,
Jan M. Pawlowski
(
- Heidelberg U.
)
,
Jochen Wambach
(
- Darmstadt, Tech. Hochsch. and
- Darmstadt, GSI
)

- Phys.Rev.D 76 (2007) 074023
•
e-Print:
- 0704.3234
•
DOI:
- 10.1103/PhysRevD.76.074023

[11]

2+1 flavor Polyakov-Nambu-Jona-Lasinio model at finite temperature and nonzero chemical potential

Wei-jie Fu
(
- Peking U.
)
,
Zhao Zhang
(
- Peking U. and
- CCAST World Lab, Beijing
)
,
Yu-xin Liu
(
)

- Phys.Rev.D 77 (2008) 014006
•
e-Print:
- 0711.0154
•
DOI:
- 10.1103/PhysRevD.77.014006

[12]

Revisiting the phase diagram of the three-flavor quark system in the Nambu–Jona-Lasinio model

Li-jia Jiang
(
- Peking U., SKLNPT
)
,
Xian-yin Xin
(
- Peking U., SKLNPT
)
,
Kun-lun Wang
(
- Peking U., SKLNPT
)
,
Si-xue Qin
(
- Peking U., SKLNPT
)
,
Yu-xin Liu
(
- Peking U., CHEP and
- Peking U., SKLNPT
)

- Phys.Rev.D 88 (2013) 1, 016008
•
DOI:
- 10.1103/PhysRevD.88.016008

[13]

Improvement on the Polyakov–Nambu–Jona-Lasinio model and the QCD phase transitions

Xian-yin Xin
(
- Peking U.
)
,
Si-xue Qin
(
- Frankfurt U.
)
,
Yu-xin Liu
(
- Peking U. and
- Peking U., CHEP
)

- Phys.Rev.D 89 (2014) 9, 094012
•
DOI:
- 10.1103/PhysRevD.89.094012

[14]

Phase diagrams in the three-flavor Nambu-Jona-Lasinio model with the Polyakov loop

Kenji Fukushima
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Phys.Rev.D 77 (2008) 114028,
- Phys.Rev.D 78 (2008) 039902 (erratum)
•
e-Print:
- 0803.3318
•
DOI:
- 10.1103/PhysRevD.77.114028

[15]

Chiral phase transition in the SU(3) Nambu and Jona-Lasinio model

S. Klimt
(
- Regensburg U.
)
,
Matthias F.M. Lutz
(
- Regensburg U.
)
,
W. Weise
(
- Regensburg U.
)

- Phys.Lett.B 249 (1990) 386-390
•
DOI:
- 10.1016/0370-2693(90)91003-T

[16]

Chiral and color superconducting phase transitions with vector interaction in a simple model

Masakiyo Kitazawa
(
- Kyoto U.
)
,
Tomoi Koide
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Teiji Kunihiro
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Yukio Nemoto
(
- RIKEN BNL
)

- Prog.Theor.Phys. 108 (2002) 5, 929-951,
- Prog.Theor.Phys. 110 (2003) 1, 185-186 (erratum)
•
e-Print:
- hep-ph/0207255
•
DOI:
- 10.1143/PTP.108.929