Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-12-07
Class.Quant.Grav.12:1385-1400,1995
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 18 pages, no figures
Scientific paper
10.1088/0264-9381/12/6/006
The most general version of a renormalizable $d=4$ theory corresponding to a dimensionless higher-derivative scalar field model in curved spacetime is explored. The classical action of the theory contains $12$ independent functions, which are the generalized coupling constants of the theory. We calculate the one-loop beta functions and then consider the conditions for finiteness. The set of exact solutions of power type is proven to consist of precisely three conformal and three nonconformal solutions, given by remarkably simple (albeit nontrivial) functions that we obtain explicitly. The finiteness of the conformal theory indicates the absence of a conformal anomaly in the finite sector. The stability of the finite solutions is investigated and the possibility of renormalization group flows is discussed as well as several physical applications.
Elizalde Emilio
Jacksenaev A. G.
Odintsov Sergei D.
Shapiro Ilya L.
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