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

  • 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].

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

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].

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