Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

JIANG Jun-Qin<SUP></SUP>

doi:10.1088/1674-1137/32/1/002

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2024年10月30日

Chinese Physics C> 2008, Vol. 32> Issue(1) : 9-12 DOI: 10.1088/1674-1137/32/1/002

Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

JIANG Jun-Qin

广东教育学院物理系

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Abstract：
Using the improved lattice Hamiltonian with massive Wilson quarks and the variational method, we study the quark mass m and the Wilson parameter r dependence of the vector meson mass MV in the two-dimensional SU(NC) lattice gauge theory. The numerical results show that for NC = 2，3，4，5，6，7，…，in the scaling window , MV/g is approximatively linear with m, but MV/g isn’t obviously dependent on r (this differs from the quark condensate). Particularly, when ，our numerical results agree very well with Bhattacharya’s analytical strong coupling result in the continuum, and the value of in two-dimensional SU(NC) lattice gauge theory is very close to that in Schwinger model．

References

[1]

. LUO Xiang-Qian, CHEN Qi-Zhou, XU Guo-Cai et al.Phys. Rev., 1994, D50: 501; JIANG Jun-Qin, LUO Xiang-Qian et al. Phys. Rev., 1999, D60: 0145012. LUO X Q, GUO S H, Krger H et al. Phys. Rev., 1999,D59: 0345033. JIANG Jun-Qin, LUO Xiang-Qian, GUO Shuo-Hong et al.HEP NP, 1999, 23(12): 1152 (in Chinese)4. JIANG Jun-Qin, LI Jie-Ming. HEP NP, 2001, 25(7): 617(in Chinese)5. JIANG Jun-Qin, LI Jie-Ming. Phys. Rev., 2003, D68:0945026. 't Hooft G. Nucl. Phys., 1974, B72: 4617. Steinhardt P J. Nucl. Phys., 1980, B176: 1008. Bhattacharya G. Nucl. Phys., 1982, B205: 4619. Zhitnitsky A R. Phys. Lett., 1985, B165: 40510. Grandou T, Cho H T, Fried H M. Phys. Rev., 1988, D37:94611. Hamer C J. Nucl. Phys., 1980, B195: 50312. JIANG Jun-Qin. HEP NP, 2007, 31(1): 19 (in Chinese)13. Banks T, Kogut J, Susskind L. Phys. Rev., 1976, D13:1043

[1]	JIANG Jun-Qin . Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks. Chinese Physics C, 2007, 31(1): 19-22.
[2]	HUI Ping . Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT. Chinese Physics C, 2005, 29(4): 345-349.
[3]	HUI Ping , ZHENG Tai-Yu , WANG Zhou-Fei . Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method. Chinese Physics C, 2004, 28(6): 580-583.
[4]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[5]	HU Lian , HUI Ping , CHEN Qi-Zhou . Glueball Masses of the 0⁺⁺ and 0^－－ in 3+1-D SU(3) LGT. Chinese Physics C, 2002, 26(8): 773-778.
[6]	HUI Ping . Sixth Order Approximation of the Glueball Wave Function in 2+1-DSU(2)LGT. Chinese Physics C, 2000, 24(7): 636-641.
[7]	LI JieMing , JIANG JunQin . Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian. Chinese Physics C, 2000, 24(12): 1094-1097.
[8]	JIANG JunQin . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[9]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[10]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[11]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
[12]	LIU Jin-Ming , GONG Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[13]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[14]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[15]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[16]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[17]	LUO Xiang-Qian , HE Bao-Peng , CHEN Qi-Zhou , LI Zhi-Bing , GUO Shuo-Hong . ΔI=1/2 RULE IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(4): 477-483.
[18]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[19]	WU Ji-Min , ZHAO Pei-Ying . ANALYTIC CALCULATION FOR GLUON CONDENSATION IN SU (2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[20]	CHEN Tian-Lun , Zhou Hong-Mo , LI Tie-Zong , XIAN Ding-Chang , ZHENG Xi-Te . VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY. Chinese Physics C, 1984, 8(5): 653-656.

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JIANG Jun-Qin. Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks[J]. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002

JIANG Jun-Qin. Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks[J]. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002 shu

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Received: 2007-02-06
Revised: 2007-05-30

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Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

JIANG Jun-Qin

广东教育学院物理系

Received Date: 2007-02-06
Accepted Date: 2007-05-30
Available Online: 2008-01-05

Abstract: Using the improved lattice Hamiltonian with massive Wilson quarks and the variational method, we study the quark mass m and the Wilson parameter r dependence of the vector meson mass MV in the two-dimensional SU(NC) lattice gauge theory. The numerical results show that for NC = 2，3，4，5，6，7，…，in the scaling window , MV/g is approximatively linear with m, but MV/g isn’t obviously dependent on r (this differs from the quark condensate). Particularly, when ，our numerical results agree very well with Bhattacharya’s analytical strong coupling result in the continuum, and the value of in two-dimensional SU(NC) lattice gauge theory is very close to that in Schwinger model．