Running of Newton's constant and noninteger powers of the d'Alembertian
The running of Newton's constant can be taken into account by considering covariant, nonlocal generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d'Alembertian, as (-□)-α, with α a noninteger number, and ln [-□]. In this...
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| Autores principales: | , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15507998_v75_n2_p_LopezNacir |
| Aporte de: |
| Sumario: | The running of Newton's constant can be taken into account by considering covariant, nonlocal generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d'Alembertian, as (-□)-α, with α a noninteger number, and ln [-□]. In this paper we define these nonlocal operators in terms of the usual two point function of a massive field. We analyze some of their properties, and present specific calculations in flat and Robertson Walker spacetimes. © 2007 The American Physical Society. |
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