Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-06-02
Mod.Phys.Lett. A8 (1993) 359-371
Physics
High Energy Physics
High Energy Physics - Lattice
PUPT-1323
Scientific paper
10.1142/S0217732393000374
We find the exact solution of a recently proposed model of the lattice gauge theory induced by heavy scalar field in adjoint representation at $ N= \infty $ for arbitrary dimension $D$. The nonlinear integral equation for the gauge invariant density of eigenvalues of the vacuum average of the scalar field is derived. In the continuum limit, the density grows as $ \phi^{\alpha} $ where $ \alpha = 1 + \frac{1}{\pi}\arccos\frac{D}{3D-2} $.
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