Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model

Shen Kun; Qiu Zhongping

Chinese Physics C> 1993, Vol. 17> Issue(S3) : 261-270

Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model

Shen Kun ,
Qiu Zhongping

Institute of Panicle Physics, Hua Zhong Normal University, Wuhan, China

Abstract
HTML
Reference
Related

PDF

Abstract：
With the aid of imaginary-time temperature field theory and fermion mass spectrum derived from Ward-Takahashi identities with composite fields, the vertex correction among fermions and σ meson is calculated beyond the leading order in 1/N expansion in 2+1 dimensional chiral Gross-Neveu model. The behavior of the vertex function with temperature and decoupling phase transition are discussed. The critical temperature of decoupling phase transition arises when the fermion mass and the π meson mass at zero temperature increase; the vertex correction resulting from thermal fluctuation will influence the fermion dynamical mass and cannot be ignored at finite temperature.

[1]	Ri-Guang Huang , You-Cai Chen , Dong-Liang Fang . 0νββ decay nuclear matrix elements under Left-Right symmetric model from the spherical quasi-particle random phase approximation method with realistic force. Chinese Physics C, 2026, 50(1): 014113. doi: 10.1088/1674-1137/ae1196
[2]	Jianing Qin , Fei Huang , Honglei Li , Zhi-Long Han , Jin Sun . Collider Probes of Four-Lepton Final States in Maximally Flavor-Violating U(1)_{L_μ-L_τ} Model. Chinese Physics C, 2026, 50(4): 1-10. doi: 10.1088/1674-1137/ae2b5e
[3]	Shaowei Lan , Qiuhua Liu , Yong Li , Shusu Shi . Energy dependence of the elliptic flow ratio v₂^PP/v₂^RP in heavy-ion collisions using the AMPT model. Chinese Physics C, 2026, 50(1): 013001. doi: 10.1088/1674-1137/ae1443
[4]	Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren . Ground-state properties of finite nuclei in relativistic Hartree-Bogoliubov theory with an improved quark mass density-dependent model. Chinese Physics C, 2026, 50(1): 014105. doi: 10.1088/1674-1137/ae0997
[5]	Yu Yao , Xuejie Liu , Xiaoyun Chen , Yuheng Wu , Jialun Ping , Yue Tan , Qi Huang . Investigation of resonances in the Σ(1/2^–) system based on the chiral quark model. Chinese Physics C, 2026, 50(2): 023109. doi: 10.1088/1674-1137/ae18af
[6]	Sneha Pradhan , S. K. Maurya , A. Errehymy , G. Mustafa , P.K. Sahoo . Gravitationally deformed polytropic models in extended teleparallel gravity and influence of decoupling parameters on constraining mass-radius relation. Chinese Physics C, 2025, 49(10): 105110. doi: 10.1088/1674-1137/ade4a1
[7]	Siyu Tang , Zuman Zhang , Chao Zhang , Liang Zheng , Renzhuo Wan . Investigating the transverse-momentum- and pseudorapidity-dependent flow vector decorrelation in p–Pb collisions with a multi-phase transport model. Chinese Physics C, 2025, 49(12): 124104. doi: 10.1088/1674-1137/adef1b
[8]	Bo Lan , Qin-Ze Song , Jin-Huan Sheng , Yi Qiao , Ru-Min Wang . Study of χ_cJ (J = 0,1,2) decays to light meson pairs based on SU(3) flavor symmetry/breaking analysis. Chinese Physics C, 2025, 49(12): 123106. doi: 10.1088/1674-1137/adff00
[9]	Manpreet Kaur , Sushil Kumar , Sukhjeet Singh , A. K. Jain . Signature splitting in three-quasineutron rotational band 3/2[521]_ν$\otimes $1/2[660]_ν$\otimes $1/2[660]_νof ¹⁵⁵Dy. Chinese Physics C, 2025, 49(10): 104103. doi: 10.1088/1674-1137/ade95e
[10]	Ze-Fang Jiang , Shuo-Yan Liu , Tian-Yu Hu , Huang-Jing Zheng , Duan She . 1+1 dimensional relativistic viscous non-resistive magnetohydrodynamics with longitudinal boost invariance. Chinese Physics C, 2025, 49(11): 114104. doi: 10.1088/1674-1137/ade6d4
[11]	Rui-Bo Wang , Lei You , Shi-Jie Ma , Jian-Bo Deng , Xian-Ru Hu . Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime. Chinese Physics C, 2025, 49(11): 115102. doi: 10.1088/1674-1137/ade4a9
[12]	Mikael Chala , Luis Gil , Zhe Ren . Phase transitions in dimensional reduction up to three loops. Chinese Physics C, 2025, 49(12): 123105. doi: 10.1088/1674-1137/adf322
[13]	Hong-Lei Li , Peng-Cheng Lu , Cong-Feng Qiao , Zong-Guo Si , Ying Wang . Study of the Standard Model and Majorana neutrino contributions to ${ B}^{{ +}} { \to} { K}^{{ (*){ \pm}}}{ \mu}^{ +}{ \mu}^{{ \mp}}$. Chinese Physics C, 2019, 43(2): 023101. doi: 10.1088/1674-1137/43/2/023101
[14]	D. Banerjee , S. Sahoo . Analysis of λ_b→λ l⁺l^- rare decays in a non-universal Z' model. Chinese Physics C, 2017, 41(8): 083101. doi: 10.1088/1674-1137/41/8/083101
[15]	HUANG Wen-Xue , WANG Yue , ZHU Zhi-Chao , TIAN Yu-Lin , XU Hu-Shan , SUN Zhi-Yu , XIAO Guo-Qing , ZHAN Wen-Long . Experimental Study of the High-Voltage Breakdown and Simulations for the RFQ Cooler and Buncher RFQ1L. Chinese Physics C, 2006, 30(S2): 261-264.
[16]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[17]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[18]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[19]	Yu Hong , Shen Qixing , Zhang Lin . Angular Distribution of Process e⁺e^－→τ⁺τ^－,τ^－→a₁υτ,a₁→ρπ and Characteristics of a₁ Meson. Chinese Physics C, 1994, 18(7): 583-590.
[20]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.

Access

Get Citation

Shen Kun and Qiu Zhongping. Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1993, 17(S3): 261-270.

Shen Kun and Qiu Zhongping. Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1993, 17(S3): 261-270. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1992-05-12

Fund

Article Metric

Article Views(1272)
PDF Downloads(4)
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

Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model

Institute of Panicle Physics, Hua Zhong Normal University, Wuhan, China

Received Date: 1992-05-12

Abstract: With the aid of imaginary-time temperature field theory and fermion mass spectrum derived from Ward-Takahashi identities with composite fields, the vertex correction among fermions and σ meson is calculated beyond the leading order in 1/N expansion in 2+1 dimensional chiral Gross-Neveu model. The behavior of the vertex function with temperature and decoupling phase transition are discussed. The critical temperature of decoupling phase transition arises when the fermion mass and the π meson mass at zero temperature increase; the vertex correction resulting from thermal fluctuation will influence the fermion dynamical mass and cannot be ignored at finite temperature.

Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model

Abstract：

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model

HTML

目录