Mean-field approximation for the chiral soliton in achiral phase transition

ZHANG Hui; SHU Song

doi:10.1088/1674-1137/39/9/094104

Chinese Physics C> 2015, Vol. 39> Issue(9) : 094104 DOI: 10.1088/1674-1137/39/9/094104

Mean-field approximation for the chiral soliton in achiral phase transition

ZHANG Hui ,
SHU Song ^,

Abstract
HTML
Reference
Related

PDF

Abstract：
Using the mean-field approximation, we study the chiral soliton within the linear sigma model in a thermal vacuum. The chiral soliton equations with different boundary conditions are solved at finite temperatures and densities. The solitons are discussed before and after chiral restoration. We find that the system has soliton solutions even after chiral restoration, and that they are very different from those before chiral restoration, which indicates that the quarks are still bound after chiral restoration.

References

[1]

Rischke D H. Prog. Part. Nucl. Phys., 2004, 52: 197[2] Yagi K, Hatsuda T, Miake Y. Quark-gluon Plasma: From Big Bang to Little Bang, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol., 2005, 23: 1[3] DONG S J, Lagae J-F, LIU K F. Phys. Rev. Lett., 1995, 75: 2096[4] Cohen T D. Prog. Part. Nucl. Phys., 1995, 35: 221[5] Alkofer R, Smekal L. Phys. Rep., 2001, 353: 281[6] Meissner U. Rep. Prog. Phys., 1993, 56: 903[7] Bhagwat M S, CHANG L, LIU Y X et al. Phys. Rev. C, 2007, 76: 045203[8] Gell-Mann M, Levy M. Nuovo Cim., 1960, 16: 705[9] Amelino-Camelia G, PI S Y. Phys. Rev. D, 1993, 47: 2356[10] Pertropoulos N. J. Phys. G, 1999, 25: 2225[11] Lenaghan J T, Rischke D H, Schaffner-Bielich J. Phys. Rev. D, 2000, 62: 085008[12] Scavenius O, Mocsy A, Mishustin I N et al. Phys. Rev. C, 2001, 64: 045202[13] SHU S, LI J-R. J. Phys. G, 2005, 31: 459[14] Birse M C, Banerjee M K. Phys. Lett. B, 1984, 136: 284; Phys. Rev. D, 1985, 31: 118[15] Cohen T D, Broniowski W. Phys. Rev. D, 1986, 34: 3472[16] Goeke K, Harvey M, Grummer F et al. Phys. Rev. D, 1988, 37: 754[17] Aly T S T, McNeil J A, Pruess S. Phys. Rev. D, 1999, 60: 114022[18] Broniowski W, Golli B. Nucl. Phys. A, 2003, 714: 575[19] Gyulassy M, McLerran L. Nucl. Phys. A, 2005, 750: 30[20] Kapusta J I. J. Phys. G, 2007, 34: S295-304[21] Abu-Shady M, Mansour H M. Phys. Rev. C, 2012, 85: 055204[22] MAO M, WEI T Z, JIN J S. Phys. Rev. C, 2013, 88: 035201[23] Shuryak E. On Chiral Symmetry Breaking, Topology and Confinement. Nuclear Physics A, to be published[24] LIAO J, Shuryak E V. Phys. Rev. D, 2006, 73: 014509[25] Glozman L Y, LANG C B, Schrock M. Phys. Rev. D, 2012, 86: 014507[26] Kapusta J I, Gale C. Finite-Temperature Field Theory: Principle and Aplications. UK: Cambridge University Press, 2006[27] Csernai L P, Mishustin I N. Phys. Rev. Lett., 1995, 74: 5005[28] SHU S, LI J R. Int. J. Mod. Phys. Conf. Ser., 2014, 29: 1460213[29] SHU S, LI J R. Phys. Rev. C, 2010, 82: 045203[30] Berger J, Christov C V. Nucl. Phys. A, 1996, 609: 537

[1]	Ya-Peng Zhao , Rui-Rui Zhang , Han Zhang , Hong-Shi Zong . Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume. Chinese Physics C, 2019, 43(6): 063101. doi: 10.1088/1674-1137/43/6/063101
[2]	Mariana Dutra , Odilon Louren , Or Hen , Eliezer Piasetzky , Débora P. Menezes . The symmetry energy γ parameter of relativistic mean-field models. Chinese Physics C, 2018, 42(6): 064105. doi: 10.1088/1674-1137/42/6/064105
[3]	Chao Shi , Wenbao Jia , An Sun , Liping Zhang , Hongshi Zong . Chiral crossover transition in a finite volume. Chinese Physics C, 2018, 42(2): 023101. doi: 10.1088/1674-1137/42/2/023101
[4]	Wu-Ji Sun , Hai-Dan Xu , Jian Li , Yong-Hao Liu , Ke-Yan Ma , Dong Yang , Jing-Bing Lu , Ying-Jun Ma . Antimagnetic rotation in ^108,110In with tilted axis cranking relativistic mean-field approach. Chinese Physics C, 2016, 40(8): 084101. doi: 10.1088/1674-1137/40/8/084101
[5]	FAN Guang-Wei , DONG Tie-Kuang , D. Nishimura . Nonlinear relativistic mean-field theory studies on He isotopes. Chinese Physics C, 2014, 38(12): 124102. doi: 10.1088/1674-1137/38/12/124102
[6]	GUAN Xin , LI Hang , TAN Qi , PAN Feng . Nilsson mean-field plus the extended pairing model description of rare earth nuclei. Chinese Physics C, 2011, 35(8): 747-752. doi: 10.1088/1674-1137/35/8/009
[7]	ZHANG Wei , LI Zhi-Pan , ZHANG Shuang-Quan . Octupole deformation for Ba isotopes in a reflection-asymmetric relativistic mean-field approach. Chinese Physics C, 2010, 34(8): 1094-1099. doi: 10.1088/1674-1137/34/8/011
[8]	MAO Shi-Jun , HUANG Xu-Guang , ZHUANG Peng-Fei . Viscosities in chiral symmetry breaking phase. Chinese Physics C, 2010, 34(9): 1440-1442. doi: 10.1088/1674-1137/34/9/065
[9]	XU Xiao-Mei , FU Yong-Ping , LI Yun-De . η string formation in QCD chiral phase transition. Chinese Physics C, 2010, 34(4): 444-447. doi: 10.1088/1674-1137/34/4/004
[10]	LI Jian , YAO Jiang-Ming , MENG Jie . Deformation constrained relativistic mean-field approach with fixed configuration and time-odd component. Chinese Physics C, 2009, 33(S1): 98-100. doi: 10.1088/1674-1137/33/S1/032
[11]	YAO Jiang-Ming , MENG Jie , Pena Arteaga , Ring Peter . Restoration of rotational symmetry in deformed relativistic mean-field theory. Chinese Physics C, 2009, 33(S1): 21-23. doi: 10.1088/1674-1137/33/S1/007
[12]	LI Ang , PENG Guang-Xiong , Lombardo U . Deconfinement phase transition in neutron star matter. Chinese Physics C, 2009, 33(S1): 61-63. doi: 10.1088/1674-1137/33/S1/020
[13]	LIU Ying-Xin , QIN Shan , WU Jing , LI Xiao-Dong , LI Yan-Chun , LIU Jing . Pressure-induced phase transition of wulfenite. Chinese Physics C, 2009, 33(11): 1023-1027. doi: 10.1088/1674-1137/33/11/019
[14]	YANG Fang , SHEN Hong . Hadron-quark phase transition in neutron stars. Chinese Physics C, 2008, 32(S2): 77-80.
[15]	Shen Yaosong , Ren Zhongzhou . Relativistic Mean-field Calculation on Λ Hypernuclei. Chinese Physics C, 1997, 21(S4): 47-54.
[16]	Shen Kun , Qiu Zhongping . Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(S3): 261-270.
[17]	Xu Xiaoming , Qiu Xijun . A Chiral Quark-Soliton Model Theory for Nuclear Force. Chinese Physics C, 1990, 14(S4): 381-389.
[18]	Wang Enke , Li Jiarong . Deconfinement Transition of the Nontopological Soliton Model at Finite Temperature. Chinese Physics C, 1989, 13(S4): 399-404.
[19]	Wu Chongshi , Zeng Jinyan . Nuclear Pairing Phase Transition. Chinese Physics C, 1988, 12(S1): 81-90.
[20]	Liu Baohua , Li Jiarong . The Mean-Field Analysis for Chiral Symmetry Phase Transition. Chinese Physics C, 1988, 12(S4): 373-378.

Access

Get Citation

ZHANG Hui and SHU Song. Mean-field approximation for the chiral soliton in achiral phase transition[J]. Chinese Physics C, 2015, 39(9): 094104. doi: 10.1088/1674-1137/39/9/094104

ZHANG Hui and SHU Song. Mean-field approximation for the chiral soliton in achiral phase transition[J]. Chinese Physics C, 2015, 39(9): 094104. doi: 10.1088/1674-1137/39/9/094104 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2014-12-18
Revised: 2015-03-29

Article Metric

Article Views(1558)
PDF Downloads(158)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Mean-field approximation for the chiral soliton in achiral phase transition

Corresponding author: SHU Song,

Received Date: 2014-12-18

Accepted Date: 2015-03-29

Available Online: 2015-09-05

Abstract: Using the mean-field approximation, we study the chiral soliton within the linear sigma model in a thermal vacuum. The chiral soliton equations with different boundary conditions are solved at finite temperatures and densities. The solitons are discussed before and after chiral restoration. We find that the system has soliton solutions even after chiral restoration, and that they are very different from those before chiral restoration, which indicates that the quarks are still bound after chiral restoration.

HTML

Reference (1)

Mean-field approximation for the chiral soliton in achiral phase transition

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article