Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method

HUI Ping

Chinese Physics C> 2004, Vol. 28> Issue(5) : 487-490

Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method

HUI Ping ^,

Department of Physics,Guangdong Institute of Education,Guangzhou 510303,China

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Abstract：
The coupled cluster method is improved with the random phase approximation (RPA) to calculate vacuum wave function and vacuum energy of 2+1-D SU(2) lattice gauge theory. In this calculating, the trial wave function composes of single-hollow graphs. The calculated results of vacuum wave functions show very good scaling behaviors at weak coupling region 1/g²〉1.2 from the third order to the sixth order, and the vacuum energy obtained with RPA method is lower than the vacuum energy obtained without RPA method, which means that this method is a more efficient one.

References

[1]

. 　HUI P et al . Phys. Rev. , 2000 , D62 :03450521252.　FANG X Yet al . Phys. Rev. , 2002 , D65 :11450521233.　CHEN Q Z, LUO X Q , GUO S H. Phys. Letters , 1995 , B341 :349 —3544.　HUI P. High Energy Phys. and Nucl . Phys. , 1998 , 22(4) :322 —325(in Chinese)(惠萍. 高能物理与核物理,1998 ,22(4) :322 —325)5.　HUI P. High Energy Phys. and Nucl . Phys. , 1999 , 23 (12) :1171 —1176(in Chinese)(惠萍. 高能物理与核物理,1999 ,23(12) :1171 —1176)6.　HUI P. High Energy Phys. and Nucl . Phys. , 2000 , 24(6) :490 —494(in Chinese)(惠萍. 高能物理与核物理,2000 ,24(6) :490 —494)7.　HUI P. High Energy Phys. and Nucl . Phys. , 2000 , 24(7) :636 —641(in Chinese)(惠萍. 高能物理与核物理,2000 ,24(7) :636 —641)8.　HU Lian , HUI P , CHEN Q Z. High Energy Phys. and Nucl . Phys. ,2002, 26(8) :773 —778 (in Chinese)(胡连,惠萍,陈启洲. 高能物理与核物理,2002 , 26 (8) : 773 —778)9.　GUO S H , CHEN Q Z, Li L. Phys. Rev. , 1994 , D49 :507 —51010.　CHEN Q Z, GUO S H , ZHENGW H et al . Phys. Rev. , 1994 , D50(5) :3564 —356511.　HUI P , CHEN Q Z. High Energy Phys. and Nucl . Phys. , 1995 , 19(9) :820 —825 (in Chinese)(惠萍,陈启洲. 高能物理与核物理,1995 ,19(9) :820 —825)

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HUI Ping. Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method[J]. Chinese Physics C, 2004, 28(5): 487-490.

HUI Ping. Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method[J]. Chinese Physics C, 2004, 28(5): 487-490. shu

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Received: 2003-07-24
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

Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method

HUI Ping ^,

Corresponding author: HUI Ping,

Department of Physics,Guangdong Institute of Education,Guangzhou 510303,China

Received Date: 2003-07-24
Accepted Date: 1900-01-01
Available Online: 2004-05-05

Abstract: The coupled cluster method is improved with the random phase approximation (RPA) to calculate vacuum wave function and vacuum energy of 2+1-D SU(2) lattice gauge theory. In this calculating, the trial wave function composes of single-hollow graphs. The calculated results of vacuum wave functions show very good scaling behaviors at weak coupling region 1/g²〉1.2 from the third order to the sixth order, and the vacuum energy obtained with RPA method is lower than the vacuum energy obtained without RPA method, which means that this method is a more efficient one.