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]	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]	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
[3]	Harleen Dahiya . Transition magnetic moments of J^P=(3/2)⁺ decuplet to J^P=(1/2)⁺ octet baryons in the chiral constituent quark model. Chinese Physics C, 2018, 42(9): 093102. doi: 10.1088/1674-1137/42/9/093102
[4]	WANG Rui , CHEN Ying , GONG Ming , LIU Chuan , LIU Yu-Bin , LIU Zhao-Feng , MA Jian-Ping , MENG Xiang-Fei , ZHANG Jian-Bo . Phase transition in finite density and temperature lattice QCD. Chinese Physics C, 2015, 39(6): 063103. doi: 10.1088/1674-1137/39/6/063103
[5]	ZHU Jing-Min . Quantum phase transitions in matrix product states ofone-dimensional spin-1/2 chains. Chinese Physics C, 2014, 38(12): 123102. doi: 10.1088/1674-1137/38/12/123102
[6]	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
[7]	Gao Xiaochun , Xu Donghui . Removability of the Topological Term in the 2+1 Dimensional CP¹ Model. Chinese Physics C, 1995, 19(S3): 257-264.
[8]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
[9]	SHEN Kun , QIU Zhong-Ping . Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(3): 208-214.
[10]	SHEN Kun , QIU Zhong-Ping . Vertex Correction and Phase Structure in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(9): 811-815.
[11]	SHEN Kun , QIU Zhongping . Vertex Correction at Finite Temperature and Decoupling Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(11): 993-1001.
[12]	Wang Enke , Li Jiarong . The Equation of State and Phase Structure in A Model with Dynamical Spontaneous Symmetry Breaking at Finite Temperature and Density. Chinese Physics C, 1992, 16(S2): 193-200.
[13]	SHEN Kun , QIU Zhong-Ping . Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1992, 16(1): 29-37.
[14]	Shen Kun , Qiu Zhongping . Chiral Symmetry, Ward-Takahashi Identities and Mass spectra in (2 + 1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1991, 15(S4): 401-410.
[15]	LOU Sen-Yue , NI Guang-Jiong . VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE. Chinese Physics C, 1990, 14(3): 228-235.
[16]	Lou Senyue , Ni Guangjiong . Variational Analysis of the Gross-Neveu Model at Zero and Finite Temperatures. Chinese Physics C, 1990, 14(S2): 145-153.
[17]	Luo Xiangqian , Chen Qizhou , Guo Shuohong . Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking. Chinese Physics C, 1989, 13(S2): 157-164.
[18]	Chen Tianlun , Huang Wuqun , Jin Ke , Suo Cunchuan . β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S1): 43-48.
[19]	Wang Enke , Li Jiarong . Deconfinement Transition of the Nontopological Soliton Model at Finite Temperature. Chinese Physics C, 1989, 13(S4): 399-404.
[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

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(594)
PDF Downloads(2)
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

Shen Kun
Qiu Zhongping

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.