Confinement of quarks

被引:13
作者
t' Hooft, G
机构
[1] Univ Utrecht, Inst Theoret Phys, NL-3584 CC Utrecht, Netherlands
[2] Spinoza Inst, NL-3508 TD Utrecht, Netherlands
关键词
D O I
10.1016/S0375-9474(03)01012-1
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
A general introduction to the topological mechanism responsible for the absolute confinement of quarks inside hadronic bound states is given, including the effects of a finite instanton angle. We then propose a calculational technique for computing these states and their properties, where instead of topology we rely on a perturbative mechanism. It assumes that already before the topological mechanism can come into effect there is already a strong inclination of quarks to be confined. In particular the planar limit of large N QCD should exhibit this mechanism. By renormalizing the infrared divergence of one-loop diagrams, one may already realize a confining potential. In practice, our procedure will require gauge-fixing in advance, but it would be more elegant if, at an intermediate level, the theory with infrared counter terms included could be written as a gauge-invariant effective model. Models of the desired kind are described. They are not renormalizable, but they are local, gauge- and lorentz invariant.
引用
收藏
页码:3C / 19C
页数:17
相关论文
共 24 条
  • [1] PSEUDOPARTICLE SOLUTIONS OF YANG-MILLS EQUATIONS
    BELAVIN, AA
    POLYAKOV, AM
    SCHWARTZ, AS
    TYUPKIN, YS
    [J]. PHYSICS LETTERS B, 1975, 59 (01) : 85 - 87
  • [2] Coleman S., 1979, Whys of Subnuclear Physics. Proceedings of the 1977 International School of Subnuclear Physics, P805
  • [3] GREENSITE J, HEPPH0112326
  • [4] VACUUM PERIODICITY IN A YANG-MILLS QUANTUM-THEORY
    JACKIW, R
    REBBI, C
    [J]. PHYSICAL REVIEW LETTERS, 1976, 37 (03) : 172 - 175
  • [5] VACUUM POLARIZATION AND ABSENCE OF FREE QUARKS IN 4 DIMENSIONS
    KOGUT, J
    SUSSKIND, L
    [J]. PHYSICAL REVIEW D, 1974, 9 (12): : 3501 - 3512
  • [6] VORTICES AND QUARK CONFINEMENT IN NON-ABELIAN GAUGE THEORIES
    MANDELSTAM, S
    [J]. PHYSICS LETTERS B, 1975, B 53 (05) : 476 - 478
  • [7] VORTEX-LINE MODELS FOR DUAL STRINGS
    NIELSEN, HB
    OLESEN, P
    [J]. NUCLEAR PHYSICS B, 1973, B 61 (SEP24) : 45 - 61
  • [8] POLYAKOV AM, 1974, JETP LETT+, V20, P194
  • [9] QUARK CONFINEMENT AND TOPOLOGY OF GAUGE THEORIES
    POLYAKOV, AM
    [J]. NUCLEAR PHYSICS B, 1977, 120 (03) : 429 - 458
  • [10] 't Hooft C., 1976, EPS INT C HIGH EN PH