Spatially asymptotic S-matrix from general boundary formulation

Details Spatially asymptotic S-matrix from general boundary formulation Spatially asymptotic S-matrix from general boundary formulation

2008-02-15

arxiv.org/abs/0802.2274v2

Phys.Rev.D78:025020,2008

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, LaTeX + revtex4; v2: various corrections, references updated

Scientific paper

10.1103/PhysRevD.78.025020

We construct a new type of S-matrix in quantum field theory using the general boundary formulation. In contrast to the usual S-matrix the space of free asymptotic states is located at spatial rather than at temporal infinity. Hence, the new S-matrix applies to situations where interactions may remain important at all times, but become negligible with distance. We show that the new S-matrix is equivalent to the usual one in situations where both apply. This equivalence is mediated by an isomorphism between the respective asymptotic state spaces that we construct. We introduce coherent states that allow us to obtain explicit expressions for the new S-matrix. In our formalism crossing symmetry becomes a manifest rather than a derived feature of the S-matrix.

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