中国物理B ›› 2001, Vol. 10 ›› Issue (5): 398-402.doi: 10.1088/1009-1963/10/5/307

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PARISI-SOURLAS CONFINEMENT MECHANISM OF QUANTUM CHROMODYNAMICS

寇谡鹏   

  1. Center for Advanced Study, Tsinghua University, Beijing 100084, China
  • 收稿日期:2000-08-25 修回日期:2000-12-04 出版日期:2001-05-15 发布日期:2005-06-12

PARISI-SOURLAS CONFINEMENT MECHANISM OF QUANTUM CHROMODYNAMICS

Kou Su-peng (寇谡鹏)   

  1. Center for Advanced Study, Tsinghua University, Beijing 100084, China
  • Received:2000-08-25 Revised:2000-12-04 Online:2001-05-15 Published:2005-06-12

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摘要： Using Parisi and Sourlas dimensional reduction, four-dimensional quantum chromodynamics is reduced to a two-dimensional principal chiral model by suitable superspace embedding. The frame Ta cannot be regarded as a fixed one and the frame connection field \varωμ(x) becomes a dynamical gauge field in two dimensions, giving rise to a confining potential. As a result of the original SU(3) Yang-Mills field obtains another SU(3) local symmetry and turns into SU(3)×SU(3) local symmetry－one group element as exp (iδ\varphiaTa) with fixed frame Ta, the other gauging the frame Ta.

Abstract: Using Parisi and Sourlas dimensional reduction, four-dimensional quantum chromodynamics is reduced to a two-dimensional principal chiral model by suitable superspace embedding. The frame Ta cannot be regarded as a fixed one and the frame connection field $\varpi_\mu(x)$ becomes a dynamical gauge field in two dimensions, giving rise to a confining potential. As a result of the original SU(3) Yang-Mills field obtains another SU(3) local symmetry and turns into SU(3)×SU(3) local symmetry－one group element as exp (i$\delta \varphi^aT^a$) with fixed frame Ta, the other gauging the frame Ta.

Key words: confinement, dimensional reduction, frame fluctuations, principal chiral model

中图分类号:  (Quantum chromodynamics)

  • 12.38.-t
11.30.Hv (Flavor symmetries) 11.30.Rd (Chiral symmetries) 11.15.-q (Gauge field theories)