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

SHEN Kun; QIU Zhongping

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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E. V. Shuryak,Phys.Rep. ,115(1984),151.[2]D. Ebert and H. Reihardt,Nucl. Phys. ,B271(1986),188;A. Dhar , R. Shanker and S. R. Wadia ,Phys. Rev. , D31(1986 ) , 3256.[3]K. Shizuya , Phys. Rev. , D21(1980) , 2327 ;B. Rosenstein,B. J. Warr and S. H. Park,Phys. Rev. Lett: ,62(1989),1433.[4]沈坤、裘忠平，高能物理与核物理，16(1992),29:[5]D. J. Gross and A. Neveu,Phys. Rev. ,D10(1974),3235.[6]沈坤、裘忠平，高能物理与核物理，17(1993),208.[7]B. Rosenstein,B. J. Warr and S. H. Park,Phys. Lett. B219(1989),469;B. Rosenstein and B. J. Warr,Phys. Lett. ,B218(1989),465.[8]C. W. Bernard,Phys. Rev. ,D9(1974),3312;L. Dolan and R. Jaekiw,Phys. Rev. ,D9(1974),3320.[9]郑国桐、苏汝铿，高能物理与核物理，15(1991),689.[10]B. Rosenstein,B. J. Warr and S. H. Park,Phys. Rev. ,D39(1989),3088.

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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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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 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.