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Multiloop Noncommutative Open String Theory and their QFT Limit
Author(s) -
Chu ChongSun,
Russo Rodolfo
Publication year - 2001
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/1521-3978(200105)49:4/6<633::aid-prop633>3.0.co;2-m
Subject(s) - noncommutative geometry , string field theory , physics , feynman diagram , non critical string theory , relationship between string theory and quantum field theory , string (physics) , type i string theory , limit (mathematics) , amplitude , theoretical physics , heterotic string theory , vertex (graph theory) , mathematical physics , field (mathematics) , string theory , string phenomenology , quantum mechanics , mathematics , pure mathematics , discrete mathematics , mathematical analysis , quantum gravity , graph , quantum
The multiloop amplitudes for open bosonic string in presence of a constant B ‐field are derived from first principles. The basic ingredients of the construction are the commutation relations for the string modes and the Reggeon vertex describing the interaction among three generic string states. The modifications due to the presence of the B ‐field affect non‐trivially only the zero modes. This makes it possible to write in a simple and elegant way the general expression for multiloop string amplitudes in presence of a constant B ‐field. The field theory limit of these string amplitudes is also considered, and we show that it reproduces exactly the Feynman diagrams of noncommutative field theories.