Initial value problem in string-inspired nonlocal field theory
Autor: | Harold Erbin, Atakan Hilmi Fırat, Barton Zwiebach |
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Přispěvatelé: | Département Intelligence Ambiante et Systèmes Interactifs (DIASI), Laboratoire d'Intégration des Systèmes et des Technologies (LIST), Direction de Recherche Technologique (CEA) (DRT (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Direction de Recherche Technologique (CEA) (DRT (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay, Laboratoire d'Intégration des Systèmes et des Technologies (LIST (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA) |
Jazyk: | angličtina |
Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics causality superluminal FOS: Physical sciences QC770-798 field theory: string 01 natural sciences string: open tachyon Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences field theory: nonlocal 010306 general physics 010308 nuclear & particles physics Tachyon Condensation [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] potential: scalar Effective Field Theories oscillation boundary condition field theory: scalar Hamiltonian High Energy Physics - Theory (hep-th) time dependence String Field Theory light cone |
Zdroj: | Journal of High Energy Physics, Vol 2022, Iss 1, Pp 1-52 (2022) Journal of High Energy Physics Journal of High Energy Physics, 2022, 01, pp.167. ⟨10.1007/JHEP01(2022)167⟩ |
ISSN: | 1029-8479 1126-6708 |
DOI: | 10.1007/jhep01(2022)167 |
Popis: | We consider a nonlocal scalar field theory inspired by the tachyon action in open string field theory. The Lorentz-covariant action is characterized by a parameter $\xi^2$ that quantifies the amount of nonlocality. Restricting to purely time-dependent configurations, we show that a field redefinition perturbative in $\xi^2$ reduces the action to a local two-derivative theory with a $\xi^2$-dependent potential. This picture is supported by evidence that the redefinition maps the wildly oscillating rolling tachyon solutions of the nonlocal theory to conventional rolling in the new scalar potential. For general field configurations we exhibit an obstruction to a local Lorentz-covariant formulation, but we can still achieve a formulation local in time, as well as a light-cone formulation. These constructions provide an initial value formulation and a Hamiltonian. Their causality is consistent with a lack of superluminal behavior in the nonlocal theory. Comment: 49 pages, 14 figures |
Databáze: | OpenAIRE |
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