1993/12/14 by Costas Efthimiou, André LeClair, Andre LeClair
Physics and Astronomy · #Black Holes and Theoretical Physics #Duality (order theory) #Neighbourhood (mathematics) #Noncommutative and Quantum Gravity Theories #Position and momentum space #Quantum Electrodynamics and Casimir Effect #Space (punctuation) #Vertex (graph theory) #Vertex model #hep-th
paper · pdf · doi:10.1007/bf02104677
published as Commun.Math.Phys.171:531-546,1995 · 17 pages, 2 figures, CLNS 93/???
arxiv created 1993/12/14 · openalex publication_date 1995/08/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using a duality between the space of particles and the space of fields, we show how one can compute form factors directly in the space of fields. This introduces the notion of vertex operators, and form factors are vacuum expectation values of such vertex operators in the space of fields. The vertex operators can be constructed explicitly in radial quantization. Furthermore, these vertex operators can be exactly bosonized in momentum space. We develop these ideas by studying the free-fermion point of the sine-Gordon theory, and use this scheme to compute some form-factors of some non-free fields in the sine-Gordon theory. This work further clarifies earlier work of one of the authors, and extends it to include the periodic sector.