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Parisi-Sourlas confinement mechanism of quantum chromodynamics

Kou Su-peng

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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 varpiµ(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 (iδvarphiaTa) with fixed frame Ta, the other gauging the frame Ta.


PACS

12.38.-t Quantum chromodynamics

11.15.-q Gauge field theories

11.30.Rd Chiral symmetries

11.30.Hv Flavor symmetries

Subjects

Particle physics and field theory

Dates

Issue 5 (May 2001)

Received 25 August 2000



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