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

SHEN Kun; QIU Zhongping

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(11) : 993-1001

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

SHEN Kun ^, ,
QIU Zhongping

Institute of Particle Physics,Hua-Zhong Normal University,Wuhan 430070

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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,and the change of vertex function with temperature and decoupling transition are discussed in (2+1) dimensional chiral Gross-Neveu model.It turns out that the critical temperature of decoupling transitionarises with increasing fermion mass and π meson mass at zero temperature;the vertex correction resulting from thermal fluctuation will affect the fermion dynamical mass and cannot be ignored at finite temperature.

References

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SHEN Kun and QIU Zhongping. Vertex Correction at Finite Temperature and Decoupling Transition in (2+1) Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1993, 17(11): 993-1001.

SHEN Kun and QIU Zhongping. Vertex Correction at Finite Temperature and Decoupling Transition in (2+1) Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1993, 17(11): 993-1001. shu

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Received: 1900-01-01
Revised: 1900-01-01

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

SHEN Kun ^,
QIU Zhongping

Corresponding author: SHEN Kun,

Institute of Particle Physics,Hua-Zhong Normal University,Wuhan 430070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-11-05

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,and the change of vertex function with temperature and decoupling transition are discussed in (2+1) dimensional chiral Gross-Neveu model.It turns out that the critical temperature of decoupling transitionarises with increasing fermion mass and π meson mass at zero temperature;the vertex correction resulting from thermal fluctuation will affect the fermion dynamical mass and cannot be ignored at finite temperature.