Critical Behavior of Plasmon Damping Rate in Thermal Scalar Field

ZHANG Han-Zhong; WANG En-Ke

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(5) : 522-529

Critical Behavior of Plasmon Damping Rate in Thermal Scalar Field

ZHANG Han-Zhong ^, ,
WANG En-Ke

Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Thermal Renormalization Group equations are derived in the framework of Closed-Time-Path formalism in real-time temperature field theory. The numerical solutions of the Thermal Renormalization Group equations show that the coupling constant runs with temperature. Applying Thermal Renormalization Group equations to φ⁴ theory with spontaneously breaking symmetry, we investigate the critical behavior of the damping rate of the plasmon with finite momentum at the phase transition temperature of restoring symmetry. As the critical point is approached, it turns out that for the plasmon with finite momentum the damping rate decrease to zero. The tendence is opposite to that obtained by taking the no-runing coupling constant. The result is consistent with critical slowing down law.

References

[1]

. Weldon H A . Phys. Rev.,1983,D28:2007 2. WANG E K ,Heinz U .Phys. Rev.,1996,D53:899 3. Parwani R R. Phys. Rev.,1992,D45:4695 4. JeonS . Phys. Rev.,1993,D47:45865. Pietroni M. Phys. Rev. Lett.,1998,81:2424 6. Pisarski R D. Phys. Rev. Lett.,1989,63:1129;Nucl. Phys.,1990,B337:569 7. Chou K C ,SU Z B ,HAO B L et al. Phys. Rep.,1985,118:1 8. Hohenberg P C ,Halperin B I. Rev. Mod. Phys.,1977,49:435 9. D'Attanasio M, Pietroni M. Nucl. Phys.,1996,B472:711

[1]	ZHAO HUAN-Yu , ZHAO Hong-Wei , MA Xin-Weng , SUN Liang-Ting , ZHANG Xue-Zhen , LI Xi-Xia , WANG Hui , MA Bao-Hua , CAO Yun , FENG Yu-Cheng , ZHU Yu-Hua , SHANG Yong . Measurements of Bremsstrahlung Spectra on SECRAL. Chinese Physics C, 2007, 31(S1): 178-181.
[2]	ZHAO HUAN-Yu , ZHAO Hong-Wei , SUN Liang-Ting , ZHANG Xue-Zhen , SHENG Liu-Si , TIAN Yang-Chao , ZHANG Guo-Bin . Production of EUV Power with SECRAL. Chinese Physics C, 2007, 31(S1): 229-231.
[3]	CHEN Xiao-Fan . Test of Nonstatic Spherical Quark-Gluon Plasma by Two-Pion Interferometry. Chinese Physics C, 2007, 31(2): 173-176.
[4]	S.Biri , E.Fekete , I.Iván , I.Gál . Transformation of the ATOMKI-ECRIS into a Plasma Device. Chinese Physics C, 2007, 31(S1): 156-158.
[5]	A.V.Vodopyanov , S.V.Golubev , I.V.Izotov , V.I.Khizhnyak , D.A.Mansfeld , V.A.Skalyga , V.G.Zorin . ECR Plasma with 75 GHz Pumping. Chinese Physics C, 2007, 31(S1): 152-155.
[6]	SHENG Zheng-Ming , ZHANG Jie . Schemes for Electron Acceleration by Laser-driven Plasma Waves. Chinese Physics C, 2006, 30(S1): 153-155.
[7]	CHEN Xiao-Fan , YANG Xue-Dong , HAN Ling . Test of Quark-Gluon Plasma of Cylinder Shape by Two-Pion Interferometry. Chinese Physics C, 2006, 30(1): 44-46.
[8]	HUA Jian-Fei , AN Wei-Ming , HUANG Wen-Hui , TANG Chuan-Xiang , LIN Yu-Zheng , GU Yu-Qiu , LIU Hong-Jie , WANG Xiang-Xian , ZHOU Wei-Min , JIAO Chun-Ye , WEN Tian-Shu , HE Ying-Ling , , , , . A Preliminary Experiment of Plasma Electron Acceleration at SILEX-1. Chinese Physics C, 2006, 30(S1): 108-110.
[9]	LIU Chang-Long . Effects of Hydrogen Plasma Treatment on Cavity Formation in Silicon Induced by He Ion Implantation. Chinese Physics C, 2005, 29(5): 524-529.
[10]	Efaaf M , ZHANG Wei-Ning , Khaliliasr M , JIN En-Pei , LIU Yi-Ming . Pion Interferometry for Spherical Quark-Gluon Plasma Evolution Sources. Chinese Physics C, 2005, 29(1): 46-49.
[11]	Efaaf M.J. , ZHANG Wei-Ning , Khaliliasr M. , HUO Lei , JIN En-Pei , ZHANG Jing-Bo . Pion Interferometry for Cylindrical Quark-Gluon Plasma Evolution Sources. Chinese Physics C, 2005, 29(5): 467-471.
[12]	LIU Chang-Long . Effects of Si Ion Implantation and H Plasma Treatment on the Growth of Cavities in Silicon. Chinese Physics C, 2004, 28(9): 1013-1016.
[13]	LONG Jia-Li , HE Ze-Jun , JIANG Wei-Zhou , MA Yu-Gang , LIU Bo . Dileptons from a Chemically Non-equilibrated Quark-Gluon Plasma. Chinese Physics C, 2004, 28(4): 387-391.
[14]	HE ZeJun , JIANG WeiZhou , ZHU ZhiYuan , LIU Bo , ZHANG JiaJu . A Signature for the Formation of the Quark-Gluon Plasma in Nucleus-Nucleus Collisions. Chinese Physics C, 2000, 24(5): 462-466.
[15]	Hou Defu , Li Jiarong . On the Next to Leading Order Debye Screening Mass in QGP. Chinese Physics C, 1996, 20(6): 533-537.
[16]	Chen Fence . Possible Manifestation of Quark-Gluon Plasma in Multiplicity Distributions in High Energy pp(p) Collisions. Chinese Physics C, 1995, 19(7): 637-645.
[17]	Zhang Weining , Liu Yiming , Huo Lei , Jiang Yuzhen . Multiparticle Bose Correlations: Probes for Granular Source of Quark-Glunon-Plasma Droplets. Chinese Physics C, 1995, 19(2): 148-155.
[18]	Zhang Xiaofei , Li Jiarong . Calculation of Transport Coefficients for Colored Plasma Beyond the Abelian Dominance Approximation. Chinese Physics C, 1994, 18(11): 1043-1050.
[19]	XU Chun-Cheng , CAI Xu . Time Evolution of Colour Screening and Suppression of J/ψ、χ and ψ' by Quark-Gluon Plasma. Chinese Physics C, 1992, 16(1): 51-56.
[20]	HOU De-Fu , LI Jia-Rong . The Restoration of Symmetry and Plasmon Effects at High Temperature and High Density in the Weinberg-Salam Model. Chinese Physics C, 1991, 15(5): 427-436.

Access

Get Citation

ZHANG Han-Zhong and WANG En-Ke. Critical Behavior of Plasmon Damping Rate in Thermal Scalar Field[J]. Chinese Physics C, 2002, 26(5): 522-529.

ZHANG Han-Zhong and WANG En-Ke. Critical Behavior of Plasmon Damping Rate in Thermal Scalar Field[J]. Chinese Physics C, 2002, 26(5): 522-529. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2001-06-17
Revised: 1900-01-01

Article Metric

Article Views(2881)
PDF Downloads(548)
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

Critical Behavior of Plasmon Damping Rate in Thermal Scalar Field

ZHANG Han-Zhong ^,
WANG En-Ke

Corresponding author: ZHANG Han-Zhong,

Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

Received Date: 2001-06-17
Accepted Date: 1900-01-01
Available Online: 2002-05-05

Abstract: Thermal Renormalization Group equations are derived in the framework of Closed-Time-Path formalism in real-time temperature field theory. The numerical solutions of the Thermal Renormalization Group equations show that the coupling constant runs with temperature. Applying Thermal Renormalization Group equations to φ⁴ theory with spontaneously breaking symmetry, we investigate the critical behavior of the damping rate of the plasmon with finite momentum at the phase transition temperature of restoring symmetry. As the critical point is approached, it turns out that for the plasmon with finite momentum the damping rate decrease to zero. The tendence is opposite to that obtained by taking the no-runing coupling constant. The result is consistent with critical slowing down law.