Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-26
Phys.Lett. B341 (1994) 195-204
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, ESI 110 Minor changes (including title); version to appear in Phys. Lett. B
Scientific paper
10.1016/0370-2693(94)90310-7
We use the Hamiltonian framework to study massless QCD$_{1+1}$, i.e.\ Yang-Mills gauge theories with massless Dirac fermions on a cylinder (= (1+1) dimensional spacetime $S^1\times \R$) and make explicite the full, non-perturbative structure of these quantum field theory models. We consider $N_F$ fermion flavors and gauge group either $\U(N_C)$, $\SU(N_C)$ or another Lie subgroup of $\U(N_C)$. In this approach, anomalies are traced back to kinematical requirements such as positivity of the Hamiltonian, gauge invariance, and the condition that all observables are represented by well-defined operators on a Hilbert space. We also give equal time commutators of the energy momentum tensor and find a gauge-covariant form of the (affine-) Sugawara construction. This allows us to represent massless QCD$_{1+1}$ as a gauge theory of Kac-Moody currents and prove its equivalence to a gauged Wess-Zumino-Witten model with a dynamical Yang-Mills field.
Langmann Edwin
Semenoff Gordon W.
No associations
LandOfFree
QCD(1+1) with massless quarks and gauge covariant Sugawara construction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with QCD(1+1) with massless quarks and gauge covariant Sugawara construction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and QCD(1+1) with massless quarks and gauge covariant Sugawara construction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-262497