Abelian-Higgs phase of SU(2) QCD and glueball energy

JIA Duojie

doi:10.1088/1674-1137/32/7/001

Chinese Physics C> 2008, Vol. 32> Issue(7) : 509-514 DOI: 10.1088/1674-1137/32/7/001

Abelian-Higgs phase of SU(2) QCD and glueball energy

JIA Duojie ^,

Institute of Theoretical Physics, College of Physics and Electronic Engineering,Northwest Normal University, Lanzhou 730070, ChinaDepartment of Physics, North Carolina State University, Raleigh, NC, 27695-8202, USA

Abstract
HTML
Reference
Related

PDF

Abstract：
It is shown that SU(2) QCD admits an dual Abelian-Higgs phase, with a Higgs vacuum of a type-II superconductor. This is done by using a connection decomposition for the gluon field and the random-direction approximation. Using a bag picture with soft wall, we presented a calculational procedure for the glueball energy based on the recent proof for wall-vortices [Nucl. Phys. B 741(2006)1].

References

[1]

. Bologonesi S. Nucl. Phys. B, 2005, 730(1-2): 127-149;Nucl. Phys. B, 2006, 741(1-2): 1-162. JIA Duo-Jie, AI De-Zhen. HEP NP, 2007, 31(5): 64-67(in Chinese)3. DUAN Yi-Shi, GE Mo-Lin. Sci. Sin., 1979, 11: 1072 (in Chinese)4. Cho Y M. Phys. Rev. D, 1980, 21(4): 1080-10885. Faddeev L D, Niemi A J. Phys. Rev. Lett., 1999, 82(8):1624-16276. Langmann E, Niemi A J. Phys. Lett. B, 1999, 463(2-4):252-2567. 't Hooft G. Nucl. Phys. A, 2003, 721(30): C3-C19; Nucl.Phys. B (Proc.Suppl.), 2003, 121: 333-3408. Lee T D. Particle Physics and Introduction to Field Theory.Amsterdam: Harwood Academic, 1983. 23-309. Wilets L. Nontopological Soliton, World Scienti c LectureNotes in Physics, Vol. 24. Singapore: World Scienti c, 198910. 't Hooft G. Nucl. Phys. B, 1981, [FS3]190(3): 455-45811. JIA D, DUAN Y S. Mod. Phys. Lett. A, 2001, 16(29):1863-1869; DUAN Y S et al. J. Math. Phys., 2000, 41:437912. JIA Duo-Jie, LEE Xi-Guo. HEP NP, 2003, 27(4): 293-298. (in Chinese)13. Gribov V N. Orsay Lectures on Con nement (II), in TheGribov Theory of Guark Con nement. Ed. Nyiri J. Singa-pore: World Scienti c, 200114. Numbu Y. Phys. Rev. D, 1974, 10: 4262-4268; 't Hooft G.High Energy Physics. In: Zichichi A ed. EPS International Conference, Palermo Bologna: Editrice Compositori, 1975;Mandelstam S. Phys. Rep. C, 1976, 23(3): 245-24915. Suzuki T. Prog. Theor. Phys., 1988, 80(6): 929-93416. Nielsen H B. Olesen P. Nucl. Phys. B, 1973, 61(24): 45-6117. Kato S et al. Nucl. Phys. B, 1998, 520(1): 323-344;Schilling K, Bali G S et al. Nucl. Phys., 1998 (Proc. Suppl.),63:A-C: 519-521; Gubarev F V et al. Phys. Lett. B, 1999,468(1): 134-13718. Boschi-Filho H, Braga N R F. Eur. Phys. J. C, 192004, 32:529-533; J. High Energy Phys., 2003, 05: 009-01519. Teramond Guy F de, Brodsky S J. Phys. Rev. Lett., 2005,94: 20160120. Polchinski J, Strassler M J. Phys. Rev. Lett., 2002, 88:03160121. Witten E. Adv. Theor. Math. Phys., 1998, 2: 253-291;Gross D J, Ooguri H. Phys. Rev. D, 1998, 58(10): 10600222. Cho Y M, Pak D G. Phys. Rev. D, 2002, 65(7): 07402723. Teper M J. hep-lat/9711011

[1]	Wei Sun , Long-Cheng Gui , Ying Chen , Ming Gong , Chuan Liu , Yu-Bin Liu , Zhaofeng Liu , Jian-Ping Ma , Jian-Bo Zhang . Glueball spectrum from N_f=2 lattice QCD study on anisotropic lattices. Chinese Physics C, 2018, 42(9): 093103. doi: 10.1088/1674-1137/42/9/093103
[2]	XU Xiao-Mei , FU Yong-Ping , LI Yun-De . η string formation in QCD chiral phase transition. Chinese Physics C, 2010, 34(4): 444-447. doi: 10.1088/1674-1137/34/4/004
[3]	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.
[4]	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.
[5]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[6]	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.
[7]	HUI Ping , CHEN QiZhou . 0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT. Chinese Physics C, 2000, 24(9): 805-809.
[8]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[9]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[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]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[12]	Zheng Xite , Chen Hong , Lu Zao , He Yuan . Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model. Chinese Physics C, 1995, 19(2): 137-142.
[13]	Zheng Xite , Chen Hong , Lu Zhao , He Yuan . Analytical Calculation for the Fixed Length Lattice SU/(2)-Higgs Model. Chinese Physics C, 1995, 19(S1): 69-75.
[14]	Zheng Xite , Liu Beishu . Analytical Treatment of SU(2)-Higgs System on Lattice at Finite Temperature. Chinese Physics C, 1990, 14(S4): 367-375.
[15]	ZHENG Xi-Te , LIU Bei-Shu . ANALYTICAL TREATMENT OF SU(2)-HIGGS SYSTEM ON LATTICE AT FINITE TEMPERATURE. Chinese Physics C, 1990, 14(10): 892-899.
[16]	ZHENG Xi-Te , LIU Bei-Shu . CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL. Chinese Physics C, 1990, 14(1): 36-41.
[17]	Zheng Xite , Liu Beishu . Calculation of a Fixed Length Fundamental SU(2) Higgs Model. Chinese Physics C, 1990, 14(S1): 45-52.
[18]	Zheng Weihong , Guo Shuohong . Variational Calculation of the Glueball Mass in 2+1 Dimensional SU(2) LGT. Chinese Physics C, 1989, 13(S1): 33-36.
[19]	WU DAN-DI , LI TIE-ZHONG . HIGGS MIXING AND PROTON DECAY IN THE UNIFIED GAUGE MODEL SU(4)_C×SU(2)_L×SU(2)_R. Chinese Physics C, 1983, 7(6): 702-708.
[20]	NI GUANG-JIONG , SU RU-KENG , CHEN SU-QING . BOSE CONDENSATION OF SU(2) HIGGS FIELDS AND THE ELECTRON MASS IN WEINBERG-SALAM MODEL. Chinese Physics C, 1981, 5(4): 429-440.

Access

Get Citation

JIA Duojie. Abelian-Higgs phase of SU(2) QCD and glueball energy[J]. Chinese Physics C, 2008, 32(7): 509-514. doi: 10.1088/1674-1137/32/7/001

JIA Duojie. Abelian-Higgs phase of SU(2) QCD and glueball energy[J]. Chinese Physics C, 2008, 32(7): 509-514. doi: 10.1088/1674-1137/32/7/001 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2007-07-17
Revised: 2007-12-16

Article Metric

Article Views(3307)
PDF Downloads(665)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Abelian-Higgs phase of SU(2) QCD and glueball energy

Corresponding author: JIA Duojie,

Institute of Theoretical Physics, College of Physics and Electronic Engineering,Northwest Normal University, Lanzhou 730070, ChinaDepartment of Physics, North Carolina State University, Raleigh, NC, 27695-8202, USA

Received Date: 2007-07-17

Accepted Date: 2007-12-16

Available Online: 2008-07-05

Abstract:

It is shown that SU(2) QCD admits an dual Abelian-Higgs phase, with a Higgs vacuum of a type-II superconductor. This is done by using a connection decomposition for the gluon field and the random-direction approximation. Using a bag picture with soft wall, we presented a calculational procedure for the glueball energy based on the recent proof for wall-vortices [Nucl. Phys. B 741(2006)1].

HTML

Reference (1)

Abelian-Higgs phase of SU(2) QCD and glueball energy

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, [email protected]

Email This Article