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Physical degrees of freedom of non-local theories

2003/11/30 by Joaquim Gomis, Kiyoshi Kamimura, Toni Ramirez +1 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Topological and Geometric Data Analysis #advanced mathematical theories #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2004.06.046

published as Nucl.Phys. B696 (2004) 263-291 · 27 pages, 2 figures

openalex publication_date 2004/08/10 · arxiv created 2004/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the physical (reduced) space of non-local theories, around the fixed points of these systems, by analyzing: i) the Hamiltonian constraints appearing in the 1+1 formulation of those theories, ii) the symplectic two form in the surface on constraints. P-adic string theory for spatially homogeneous configurations has two fixed points. The physical phase space around q=0 is trivial, instead around q=\frac 1g is infinite dimensional. For the special case of the rolling tachyon solutions it is an infinite dimensional lagrangian submanifold. In the case of string field theory, at lowest truncation level, the physical phase space of spatially homogeneous configurations is two dimensional around q=0, which is the relevant case for the rolling tachyon solutions, and infinite dimensional around q=\frac M2g.

Citations

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