Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-02
Phys.Rev.D50:622-626,1994
Physics
High Energy Physics
High Energy Physics - Theory
latex, 12 pages
Scientific paper
10.1103/PhysRevD.50.R622
The theory of a massless two-dimensional scalar field with a periodic boundary interaction is considered. At a critical value of the period this system defines a conformal field theory and can be re-expressed in terms of free fermions, which provide a simple realization of a hidden $SU(2)$ symmetry of the original theory. The partition function and the boundary $S$-matrix can be computed exactly as a function of the strength of the boundary interaction. We first consider open strings with one interacting and one Dirichlet boundary, and then with two interacting boundaries. The latter corresponds to motion in a periodic tachyon background, and the spectrum exhibits an interesting band structure which interpolates between free propagation and tight binding as the interaction strength is varied.
Polchinski Joseph
Thorlacius Larus
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