Strong evidence in favor of the existence of S-matrix for strings in plane waves | Zendy

Dongsu Bak | Zendy; M. M. Sheikh-Jabbari | Zendy

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Strong evidence in favor of the existence of S-matrix for strings in plane waves

Author(s) -

Dongsu Bak,

M. M. Sheikh-Jabbari

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/02/019

Subject(s) - scalar field , plane wave , physics , field (mathematics) , s matrix theory , scattering amplitude , s matrix , matrix (chemical analysis) , classical mechanics , field theory (psychology) , plane (geometry) , gauge theory , scalar (mathematics) , theoretical physics , wave packet , scattering , mathematics , mathematical physics , quantum mechanics , geometry , pure mathematics , materials science , composite material

Field theories on the plane wave background are considered. We discuss thatfor such field theories one can only form 1+1 dimensional freely propagatingwave packets. We analyze tree level four point functions of scalar field theoryas well as scalars coupled to gauge fields in detail and show that these fourpoint functions are well-behaved so that they can be interpreted as S-matrixelements for 2 particle $\to$ 2 particle scattering amplitudes. Therefore, atleast classically, field theories on the plane wave background have S-matrixformulation.Comment: Latex file, 26 pages, 4 eps figures. v3: In the end of paper there is a "Note Added" as an update of the result

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