Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-09-02
Nucl.Phys. B415 (1994) 29-70
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 8 figures not included, available by mail upon request, T93-079 (talk at the Workshop on string theory, gauge theory
Scientific paper
10.1016/0550-3213(94)90066-3
We explain, in a slightly modified form, an old construction allowing to reformulate the U(N) gauge theory defined on a D-dimensional lattice as a theory of lattice strings (a statistical model of random surfaces). The world surface of the lattice string is allowed to have pointlike singularities (branch points) located not only at the sites of the lattice, but also on its links and plaquettes. The strings become noninteracting when $N\to\infty$. In this limit the statistical weight a world surface is given by exp[ $-$ area] times a product of local factors associated with the branch points. In $D=4$ dimensions the gauge theory has a nondeconfining first order phase transition dividing the weak and strong coupling phase. From the point of view of the string theory the weak coupling phase is expected to be characterized by spontaneous creation of ``windows'' on the world sheet of the string.
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