Equivalence Between Two-dimensional SU() {QCD} and Schwinger Model: An Analysis of Strong Coupling Phase
Jul, 198122 pages
Published in:
- Nucl.Phys.B 205 (1982) 461-482
- Published: 1982
Report number:
- DAMTP 81/20
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Abstract: (Elsevier)
The {U(1)} n Schwinger model is shown to have a hidden global SU( n ) invariance where the fermion fields are coupled to n 2 −1 vector fields forming the adjoint multiplet. Of these vector fields only n −1 are the gauge fields while the others are dependent degrees of freedom. This model, which is called SU( n ) torus QCD, is shown, in the Coulomb gauge, to be equivalent to the full SU( n ) QCD 2 in a fixed gauge where A 1 , aa = 0 and A 1, ab = 0 for a ≠ b . All the gauge-invariant consequences of the two models are, therefore, the same. The quarks are topologically confined for any finite n . However, in the strong coupling phase the quarks are liberated in the limit n → ∞.- QUANTUM CHROMODYNAMICS: TWO-DIMENSIONAL
- GAUGE FIELD THEORY: SU(N)
- FIELD THEORETICAL MODEL: SCHWINGER
- MODEL: STRONG COUPLING
- STRONG COUPLING: MODEL
- QUARK: CONFINEMENT
- CHARGE: TOPOLOGICAL
- EXPANSION 1/N
- QUARK: MASSLESS
- MASSLESS: QUARK
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