Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT

HUI Ping

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2005, Vol. 29> Issue(4) : 345-349

Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT

HUI Ping ^,

Department of physics,Guangdong institute of Education,Guangzhou 510303,China

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Abstract：
By Solving Shrodinger equation with the RPA coupled cluster method, The higher order glueball wave function in 2+1-D SU(2) lattice gauge theory is calculated. In the calculation, hollow Wilson graphs are selected as the trial wave function, and special Wilson graphs are treated approximately. The sixth and the seventh order results for the coefficients μ0F andμ2F and the relevant parameterζ of the glueball wave function show good scaling behaviors at weak coupling region(β=4.8--9.6 ). The seventh order vacuum energy curve is in agreement with the sixth order ones for in the coupling region of β=0.8-8.8 .

References

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[1]	JIANG Jun-Qin . Third Order Result of the 0++ Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(5): 447-450.
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HUI Ping. Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT[J]. Chinese Physics C, 2005, 29(4): 345-349.

HUI Ping. Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT[J]. Chinese Physics C, 2005, 29(4): 345-349. shu

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Received: 2004-07-05
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

Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT

HUI Ping ^,

Corresponding author: HUI Ping,

Department of physics,Guangdong institute of Education,Guangzhou 510303,China

Received Date: 2004-07-05
Accepted Date: 1900-01-01
Available Online: 2005-04-05

Abstract: By Solving Shrodinger equation with the RPA coupled cluster method, The higher order glueball wave function in 2+1-D SU(2) lattice gauge theory is calculated. In the calculation, hollow Wilson graphs are selected as the trial wave function, and special Wilson graphs are treated approximately. The sixth and the seventh order results for the coefficients μ0F andμ2F and the relevant parameterζ of the glueball wave function show good scaling behaviors at weak coupling region(β=4.8--9.6 ). The seventh order vacuum energy curve is in agreement with the sixth order ones for in the coupling region of β=0.8-8.8 .