Initial conditions and degrees of freedom of non-local gravity
Abstract We prove the equivalence between non-local gravity with an arbitrary form factor and a non-local gravitational system with an extra rank-2 symmetric tensor. Thanks to this reformulation, we use the diffusion-equation method to transform the dynamics of renormalizable non-local gravity with...
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2018-05-01
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Online Access: | http://link.springer.com/article/10.1007/JHEP05(2018)087 |
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doaj-760764588fc34afb93693c66a65879d22020-11-25T00:51:33ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018514610.1007/JHEP05(2018)087Initial conditions and degrees of freedom of non-local gravityGianluca Calcagni0Leonardo Modesto1Giuseppe Nardelli2Instituto de Estructura de la Materia, CSICDepartment of Physics, Southern University of Science and TechnologyDipartimento di Matematica e Fisica, Università Cattolica del Sacro CuoreAbstract We prove the equivalence between non-local gravity with an arbitrary form factor and a non-local gravitational system with an extra rank-2 symmetric tensor. Thanks to this reformulation, we use the diffusion-equation method to transform the dynamics of renormalizable non-local gravity with exponential operators into a higher-dimensional system local in spacetime coordinates. This method, first illustrated with a scalar field theory and then applied to gravity, allows one to solve the Cauchy problem and count the number of initial conditions and of non-perturbative degrees of freedom, which is finite. In particular, the non-local scalar and gravitational theories with exponential operators are both characterized by four initial conditions in any dimension and, respectively, by one and eight degrees of freedom in four dimensions. The fully covariant equations of motion are written in a form convenient to find analytic non-perturbative solutions.http://link.springer.com/article/10.1007/JHEP05(2018)087Classical Theories of GravityModels of Quantum GravityNonperturbative Effects |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Gianluca Calcagni Leonardo Modesto Giuseppe Nardelli |
spellingShingle |
Gianluca Calcagni Leonardo Modesto Giuseppe Nardelli Initial conditions and degrees of freedom of non-local gravity Journal of High Energy Physics Classical Theories of Gravity Models of Quantum Gravity Nonperturbative Effects |
author_facet |
Gianluca Calcagni Leonardo Modesto Giuseppe Nardelli |
author_sort |
Gianluca Calcagni |
title |
Initial conditions and degrees of freedom of non-local gravity |
title_short |
Initial conditions and degrees of freedom of non-local gravity |
title_full |
Initial conditions and degrees of freedom of non-local gravity |
title_fullStr |
Initial conditions and degrees of freedom of non-local gravity |
title_full_unstemmed |
Initial conditions and degrees of freedom of non-local gravity |
title_sort |
initial conditions and degrees of freedom of non-local gravity |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-05-01 |
description |
Abstract We prove the equivalence between non-local gravity with an arbitrary form factor and a non-local gravitational system with an extra rank-2 symmetric tensor. Thanks to this reformulation, we use the diffusion-equation method to transform the dynamics of renormalizable non-local gravity with exponential operators into a higher-dimensional system local in spacetime coordinates. This method, first illustrated with a scalar field theory and then applied to gravity, allows one to solve the Cauchy problem and count the number of initial conditions and of non-perturbative degrees of freedom, which is finite. In particular, the non-local scalar and gravitational theories with exponential operators are both characterized by four initial conditions in any dimension and, respectively, by one and eight degrees of freedom in four dimensions. The fully covariant equations of motion are written in a form convenient to find analytic non-perturbative solutions. |
topic |
Classical Theories of Gravity Models of Quantum Gravity Nonperturbative Effects |
url |
http://link.springer.com/article/10.1007/JHEP05(2018)087 |
work_keys_str_mv |
AT gianlucacalcagni initialconditionsanddegreesoffreedomofnonlocalgravity AT leonardomodesto initialconditionsanddegreesoffreedomofnonlocalgravity AT giuseppenardelli initialconditionsanddegreesoffreedomofnonlocalgravity |
_version_ |
1725245191457079296 |