1993/01/26 by E. Elizalde, S. Naftulin, S. D. Odintsov · 4 citations
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Covariant transformation #Effective action #Formalism (music) #Gauge theory #Noncommutative and Quantum Gravity Theories #Quantum #Quantum gravity #Renormalization #hep-th
paper · pdf · doi:10.1007/bf01474630
published in The European Physical Journal C 60(2), 327-336 (Springer Science+Business Media) · 25 pages, LaTeX file, HUPD-93-03
arxiv created 1993/01/26 · openalex publication_date 1993/06/01 · arxiv updated 2010/05/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The structure of one-loop divergences of two-dimensional dilaton-Maxwell quantum gravity is investigated in two formalisms: one using a convenient effective action and the other a unique effective action. The one-loop divergences (including surface divergences) of the convenient effective action are calculated in three different covariant gauges: (i) De Witt, (ii) Ω-degenerate De Witt, and (iii) simplest covariant. The on-shell effective action is given by surface divergences only (finiteness of the S-matrix), which yet depend upon the gauge condition choice. Off-shell renormalizability is discussed and classes of renormalizable dilaton and Maxwell potentials are found which coincide in the cases of convenient and unique effective actions. A detailed comparison of both situations, i.e. convenient vs. unique effective action, is given. As an extension of the procedure, the one-loop effective action in two-dimensional dilaton-Yang-Mills gravity is calculated.