2007/12/19 by Remo Garattini · 1 citation
Physics and Astronomy · #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Generalization #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Regularization (linguistics) #Renormalization #Renormalization group #Zeta function regularization #gr-qc #hep-th
paper · pdf · doi:10.1088/1751-8113/41/16/164057
published as J.Phys.A41:164057,2008 · Talk given at QFEXT 07, Workshop on Quantum Field Theory Under the Influence of External Conditions, Leipzig, 17-21 Sep 2007 and talk given at 9th International Conference on Path Integrals - New Trends and Perspectives, Dresden, 23-28 September 2007. 8 pages, accepted for publication in Journal of Physics A
arxiv created 2007/12/19 · openalex publication_date 2008/04/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss how to extract information about the cosmological constant from the Wheeler–DeWitt equation, considered as an eigenvalue of a Sturm–Liouville problem. A generalization to a f ( R ) theory is taken under examination. The equation is approximated to one loop with the help of a variational approach with Gaussian trial wave functionals. We use a zeta function regularization to handle with divergences. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation.