2021 Impact Factor 2.944 Impact factor of Chinese Physics C is 3.6 in 2023 Impact factor of Chinese Physics C is 3.6 in 2022 2021 Impact Factor 2.944 Impact factor of Chinese Physics C is 3.6 in 2023
Advanced Search
Chinese Physics C> 2018, Vol. 42> Issue(2) : 023101 DOI: 10.1088/1674-1137/42/2/023101

Chiral crossover transition in a finite volume

  • 1.

      College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China

  • 2.

      College of Materials Science and Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

  • 3.

      Key laboratory of road construction &

  • 4.

     College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China

  • 5.

     Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China

  • 6.

     Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China

  • Finite volume effects on the chiral crossover transition of strong interactions at finite temperature are studied by solving the quark gap equation within a cubic volume of finite size L. With the anti-periodic boundary condition, our calculation shows the chiral quark condensate, which characterizes the strength of dynamical chiral symmetry breaking, decreases as L decreases below 2.5 fm. We further study the finite volume effects on the pseudo-transition temperature Tc of the crossover, showing a significant decrease in Tc as L decreases below 3 fm.

  • References

    [1] J. Adams et al (STAR Collaboration), Nucl. Phys. A, 757:102 (2005)
    [2] E. Shuryak, Prog. Part. Nucl. Phys., 62:48 (2009)
    [3] E. Shuryak, Prog. Part. Nucl. Phys., 53:273 (2004)
    [4] W. A. Zajc, Nucl. Phys. A, 805:283 (2008)
    [5] E. Bilgici, F. Bruckmann, C. Gattringer, and C. Hagen, Phys. Rev. D, 77:094007 (2008)
    [6] C. S. Fischer, Phys. Rev. Lett., 103:052003 (2009)
    [7] G. Endrodi, Z. Fodor, S. D. Katz, and K. K. Szabo, JHEP, 1104:001 (2011)
    [8] M. Asakawa and K. Yazaki, Nucl. Phys. A, 504:668 (1989)
    [9] A. Bazavov et al (HotQCD Collaboration), Phys. Rev. D, 90:094503 (2014)
    [10] C. Shi, Y. L. Wang, Y. Jiang, Z. F. Cui, and H. S. Zong, JHEP, 1407:014 (2014)
    [11] S. A. Bass et al, Prog. Part. Nucl. Phys., 41:255 (1998)
    [12] G. Graef, M. Bleicher, and Q. Li, Phys. Rev. C, 85:044901 (2012)
    [13] L. F. Palhares, E. S. Fraga, and T. Kodama, J. Phys. G, 38:085101 (2011)
    [14] J. Gasser and H. Leutwyler, Phys. Lett. B, 188:477 (1987)
    [15] F. C. Hansen, Nucl. Phys. B, 345:685 (1990).
    [16] P. H. Damgaard and H. Fukaya, JHEP, 0901:052 (2009)
    [17] J. Braun, B. Klein, and B. J. Schaefer, Phys. Lett. B, 713:216 (2012)
    [18] J. Braun, B. Klein, H.-J. Pirner, and A. H. Rezaeian, Phys. Rev. D, 73:074010 (2006)
    [19] A. Bhattacharyya, R. Ray, and S. Sur, Phys. Rev. D, 91(5):051501 (2015)
    [20] A. Bhattacharyya, P. Deb, S. K. Ghosh, R. Ray, and S. Sur, Phys. Rev. D, 87(5):054009 (2013)
    [21] Z. Pan, Z. F. Cui, C. H. Chang, and H. S. Zong, Int. J. Mod. Phys. A, 32(13):1750067 (2017)
    [22] C. D. Roberts, Prog. Part. Nucl. Phys., 61:50 (2008)
    [23] C. S. Fischer and J. Luecker, Phys. Lett. B, 718:1036 (2013)
    [24] C. Shi, Y. L. Du, S. S. Xu, X. J. Liu, and H. S. Zong, Phys. Rev. D, 93(3):036006 (2016)
    [25] J. Luecker, C. S. Fischer, and R. Williams, Phys. Rev. D, 81:094005 (2010)
    [26] B. Klein, Phys. Rept., 09:002 (2017)
    [27] C. D. Roberts and S. M. Schmidt, Prog. Part. Nucl. Phys., 45:S1 (2000)
    [28] P. Maris and P. C. Tandy, Phys. Rev. C, 60:055214 (1999)
    [29] A. Bazavov et al.:Phys. Rev. D 85:054503 (2012)
    [30] H.-T. Ding, A. Bazavov, F. Karsch, Y. Maezawa, S. Mukherjee, and P. Petreczky, PoS LATTICE, 2013:157 (2014)
    [31] A. Bazavov, H.-T. Ding, P. Hegde, F. Karsch, E. Laermann, S. Mukherjee, P. Petreczky, and C. Schmidt, Phys. Rev. D, 95(7):074505 (2017)

  • References

    [1] J. Adams et al (STAR Collaboration), Nucl. Phys. A, 757:102 (2005)
    [2] E. Shuryak, Prog. Part. Nucl. Phys., 62:48 (2009)
    [3] E. Shuryak, Prog. Part. Nucl. Phys., 53:273 (2004)
    [4] W. A. Zajc, Nucl. Phys. A, 805:283 (2008)
    [5] E. Bilgici, F. Bruckmann, C. Gattringer, and C. Hagen, Phys. Rev. D, 77:094007 (2008)
    [6] C. S. Fischer, Phys. Rev. Lett., 103:052003 (2009)
    [7] G. Endrodi, Z. Fodor, S. D. Katz, and K. K. Szabo, JHEP, 1104:001 (2011)
    [8] M. Asakawa and K. Yazaki, Nucl. Phys. A, 504:668 (1989)
    [9] A. Bazavov et al (HotQCD Collaboration), Phys. Rev. D, 90:094503 (2014)
    [10] C. Shi, Y. L. Wang, Y. Jiang, Z. F. Cui, and H. S. Zong, JHEP, 1407:014 (2014)
    [11] S. A. Bass et al, Prog. Part. Nucl. Phys., 41:255 (1998)
    [12] G. Graef, M. Bleicher, and Q. Li, Phys. Rev. C, 85:044901 (2012)
    [13] L. F. Palhares, E. S. Fraga, and T. Kodama, J. Phys. G, 38:085101 (2011)
    [14] J. Gasser and H. Leutwyler, Phys. Lett. B, 188:477 (1987)
    [15] F. C. Hansen, Nucl. Phys. B, 345:685 (1990).
    [16] P. H. Damgaard and H. Fukaya, JHEP, 0901:052 (2009)
    [17] J. Braun, B. Klein, and B. J. Schaefer, Phys. Lett. B, 713:216 (2012)
    [18] J. Braun, B. Klein, H.-J. Pirner, and A. H. Rezaeian, Phys. Rev. D, 73:074010 (2006)
    [19] A. Bhattacharyya, R. Ray, and S. Sur, Phys. Rev. D, 91(5):051501 (2015)
    [20] A. Bhattacharyya, P. Deb, S. K. Ghosh, R. Ray, and S. Sur, Phys. Rev. D, 87(5):054009 (2013)
    [21] Z. Pan, Z. F. Cui, C. H. Chang, and H. S. Zong, Int. J. Mod. Phys. A, 32(13):1750067 (2017)
    [22] C. D. Roberts, Prog. Part. Nucl. Phys., 61:50 (2008)
    [23] C. S. Fischer and J. Luecker, Phys. Lett. B, 718:1036 (2013)
    [24] C. Shi, Y. L. Du, S. S. Xu, X. J. Liu, and H. S. Zong, Phys. Rev. D, 93(3):036006 (2016)
    [25] J. Luecker, C. S. Fischer, and R. Williams, Phys. Rev. D, 81:094005 (2010)
    [26] B. Klein, Phys. Rept., 09:002 (2017)
    [27] C. D. Roberts and S. M. Schmidt, Prog. Part. Nucl. Phys., 45:S1 (2000)
    [28] P. Maris and P. C. Tandy, Phys. Rev. C, 60:055214 (1999)
    [29] A. Bazavov et al.:Phys. Rev. D 85:054503 (2012)
    [30] H.-T. Ding, A. Bazavov, F. Karsch, Y. Maezawa, S. Mukherjee, and P. Petreczky, PoS LATTICE, 2013:157 (2014)
    [31] A. Bazavov, H.-T. Ding, P. Hegde, F. Karsch, E. Laermann, S. Mukherjee, P. Petreczky, and C. Schmidt, Phys. Rev. D, 95(7):074505 (2017)

  • Access

    加载中

Cited by

1. Su, S.-Z., Zhao, Y.-Y., Wen, X.-J. The finite volume effects of the Nambu-Jona-Lasinio model with the running coupling constant[J]. Journal of Physics G: Nuclear and Particle Physics, 2025, 52(1): 015007. doi: 10.1088/1361-6471/ad95a7
2. Abreu, L.M., Nery, E.S., Corrêa, E.B.S. Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration[J]. European Physical Journal A, 2023, 59(7): 157. doi: 10.1140/epja/s10050-023-01078-5
3. Ping, S., Zhang, X., Su, G. et al. The finite volume effects on the critical endpoint of chiral phase transition in Nambu-Jona-Lasinio model with different regularization schemes[J]. International Journal of Modern Physics A, 2023, 38(15-16): 2350076. doi: 10.1142/S0217751X23500768
4. Du, Y., Li, C., Shi, C. et al. Review of QCD phase diagram analysis using effective field theories | [基于有效场论的 QCD 相图研究][J]. He Jishu/Nuclear Techniques, 2023, 46(4): 040009. doi: 10.11889/j.0253-3219.2023.hjs.46.040009
5. Atta, D., Chaudhuri, N., Ghosh, S. Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas[J]. Modern Physics Letters A, 2022, 37(31): 2250211. doi: 10.1142/S021773232250211X
6. Abreu, L.M., Nery, E.S., Corrêa, E.B.S. Properties of neutral mesons in a hot and magnetized quark matter: Size-dependent effects[J]. Physical Review D, 2022, 105(5): 056010. doi: 10.1103/PhysRevD.105.056010
7. Abreu, L.M., Nery, E.S., Corrêa, E.B.S. Boundary effects on constituent quark masses and on chiral susceptibility in a four-fermion interaction model[J]. Physica A: Statistical Mechanics and its Applications, 2021. doi: 10.1016/j.physa.2021.125885
8. Xu, Y.-Z., Shi, C., He, X.-T. et al. Chiral crossover transition from the Dyson-Schwinger equations in a sphere[J]. Physical Review D, 2020, 102(11): 114011. doi: 10.1103/PhysRevD.102.114011
9. Han, Z., Chen, B., Liu, Y. Critical Temperature of Deconfinement in a Constrained Space Using a Bag Model at Vanishing Baryon Density[J]. Chinese Physics Letters, 2020, 37(11): 112501. doi: 10.1088/0256-307X/37/11/112501
10. Liu, R.-L., Lai, M.-Y., Shi, C. et al. Finite volume effects on QCD susceptibilities with a chiral chemical potential[J]. Physical Review D, 2020, 102(1): 014014. doi: 10.1103/PhysRevD.102.014014
11. Shi, C., He, X.-T., Jia, W.-B. et al. Chiral transition and the chiral charge density of the hot and dense QCD matter.[J]. Journal of High Energy Physics, 2020, 2020(6): 122. doi: 10.1007/JHEP06(2020)122
12. Zhao, Y.-P., Yin, P.-L., Yu, Z.-H. et al. Finite volume effects on chiral phase transition and pseudoscalar mesons properties from the Polyakov-Nambu-Jona-Lasinio model[J]. Nuclear Physics B, 2020. doi: 10.1016/j.nuclphysb.2020.114919
13. Zhang, Z., Shi, C., Zong, H.-S. Nambu-Jona-Lasinio model in a sphere[J]. Physical Review D, 2020, 101(4): 043006. doi: 10.1103/PhysRevD.101.043006
14. Abreu, L.M., Corrêa, E.B.S., Linhares, C.A. et al. Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu-Jona-Lasinio model[J]. Physical Review D, 2019, 99(7): 076001. doi: 10.1103/PhysRevD.99.076001
15. Zhao, Y.-P., Zhang, R.-R., Zhang, H. et al. Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume[J]. Chinese Physics C, 2019, 43(6): 063101. doi: 10.1088/1674-1137/43/6/063101
16. Xia, Y., Wang, Q., Feng, H. et al. Finite volume effects on the QCD chiral phase transition in the finite size dependent Nambu-Jona-Lasinio model[J]. Chinese Physics C, 2019, 43(3): 034101. doi: 10.1088/1674-1137/43/3/034101
17. Wang, Q.-W., Xia, Y., Zong, H.-S. Nambu-Jona-Lasinio model with proper time regularization in a finite volume[J]. Modern Physics Letters A, 2018, 33(39): 1850232. doi: 10.1142/S0217732318502322
Get Citation
Chao Shi, Wenbao Jia, An Sun, Liping Zhang and Hongshi Zong. Chiral crossover transition in a finite volume[J]. Chinese Physics C, 2018, 42(2): 023101. doi: 10.1088/1674-1137/42/2/023101
Chao Shi, Wenbao Jia, An Sun, Liping Zhang and Hongshi Zong. Chiral crossover transition in a finite volume[J]. Chinese Physics C, 2018, 42(2): 023101.  doi: 10.1088/1674-1137/42/2/023101 shu
Milestone
Received: 2017-11-09
Fund

    Supported by National Natural Science Foundation of China (11475085, 11535005, 11690030, 51405027), the Fundamental Research Funds for the Central Universities (020414380074), China Postdoctoral Science Foundation (2016M591808) and Open Research Foundation of State Key Lab. of Digital Manufacturing Equipment Technology in Huazhong University of Science Technology (DMETKF2015015)

Article Metric

Article Views(2676)
PDF Downloads(26)
Cited by(17)
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

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Chiral crossover transition in a finite volume

    Corresponding author: Chao Shi,
    Corresponding author: Wenbao Jia,
    Corresponding author: Hongshi Zong,
  • 1.  College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China
  • 2.  College of Materials Science and Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • 3.  Key laboratory of road construction &
  • 4. College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China
  • 5. Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China
  • 6. Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
  • Received Date: 2017-11-09
  • Available Online: 2018-02-05
Fund Project:  Supported by National Natural Science Foundation of China (11475085, 11535005, 11690030, 51405027), the Fundamental Research Funds for the Central Universities (020414380074), China Postdoctoral Science Foundation (2016M591808) and Open Research Foundation of State Key Lab. of Digital Manufacturing Equipment Technology in Huazhong University of Science Technology (DMETKF2015015)

Abstract: Finite volume effects on the chiral crossover transition of strong interactions at finite temperature are studied by solving the quark gap equation within a cubic volume of finite size L. With the anti-periodic boundary condition, our calculation shows the chiral quark condensate, which characterizes the strength of dynamical chiral symmetry breaking, decreases as L decreases below 2.5 fm. We further study the finite volume effects on the pseudo-transition temperature Tc of the crossover, showing a significant decrease in Tc as L decreases below 3 fm.

    HTML

Reference (31)

目录

Link
IOPScience
SCOAP3
arXiv
Chinese Physical Society
Journal information
Introduction
Editorial Board
Others
Subscribe
Contact us
QQ: 1307685413
Tel: +86-010-88235947
Fax: +86-010-88233126
E-mail: cpc@ihep.ac.cn

  • CPC Website

  • IOP Website

  • CPC WeChat

Copyright © Institute of High Energy Physics, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, China 京ICP备05002789号-1

Supported by: Beijing Renhe Information Technology Co. Ltd  E-mail: info@rhhz.net

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return