S matrix of collective field theory

Details S matrix of collective field theory S matrix of collective field theory

1994-12-06

arxiv.org/abs/hep-th/9412043v1

Phys.Rev. D51 (1995) 5790-5796

Physics

High Energy Physics

High Energy Physics - Theory

19 page, LaTex

Scientific paper

10.1103/PhysRevD.51.5790

By applying the Lehmann-Symanzik-Zimmermann (LSZ) reduction formalism, we study the S matrix of collective field theory in which fermi energy is larger than the height of potential. We consider the spatially symmetric and antisymmetric boundary conditions. The difference is that S matrices are proportional to momenta of external particles in antisymmetric boundary condition, while they are proportional to energies in symmetric boundary condition. To the order of $g_{st}^2$, we find simple formulas for the S matrix of general potential. As an application, we calculate the S matrix of a case which has been conjectured to describe a "naked singularity".

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