Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-04
Phys.Rev. D53 (1996) 939-951
Physics
High Energy Physics
High Energy Physics - Theory
1 Latex file & 9 Postscript files; tarred, compressed and uuencoded
Scientific paper
10.1103/PhysRevD.53.939
The formalism for a non-abelian pure gauge theory in (2+1) dimensions has recently been derived within Discretized Light-Cone Quantization, restricting to the lowest {\it transverse} momentum gluons. It is argued why this model can be a paradigm for full QCD. The physical vacuum becomes non-trivial even in light-cone quantization. The approach is brought here to tractable form by suppressing by hand both the dynamical gauge and the constraint zero mode, and by performing a Tamm-Dancoff type Fock-space truncation. Within that model the Hamiltonian is diagonalized numerically, yielding mass spectra and wavefunctions of the glue-ball states. We find that only color singlets have a stable and discrete bound state spectrum. The connection with confinement is discussed. The structure function of the gluons has a shape like $ [{x(1-x)}] ^{1\over 3} $. The existence of the continuum limit is verified by deriving a coupled set of integral equations.
Bayer Rolf
Pauli Hans-Christian
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