Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-26
Phys.Rev.Lett. 85 (2000) 3087-3090
Physics
High Energy Physics
High Energy Physics - Theory
Typos corrected. 7 pages
Scientific paper
10.1103/PhysRevLett.85.3087
We consider the nonrelativistic field theory with a quartic interaction on a noncommutative plane. We compute the four point scattering amplitude within perturbative analysis to all orders and identify the beta function and the running of the coupling constant. Since the theory admits an equivalent description via the N particle Schrodinger equation, we regain the scattering amplitude by finding an exact scattering wavefunction of the two body equation. The wave function for the bound state is also identified. These wave functions unusually have two center positions in the relative coordinates. The separation of the centers is in the transverse direction of the total momentum and grows linearly with the noncommutativity scale and the total momentum, exhibiting the stringy nature of the noncommutative field theory.
Bak Dongsu
Kim Sung Ku
Soh Kwang-Sup
Yee Jae Hyung
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