Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-04-21
Phys.Lett.B463:57-62,1999
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 12 pages, the discussion of the Hawking radiation is added
Scientific paper
10.1016/S0370-2693(99)00946-6
The reduction of 4d matter-gravity theory to $S_2$, $H_2$ or $R_2$ leads to effective 2d dilatonic gravity with dilaton coupled matter. Spinors give the exceptional example of the theory which is conformally invariant in 4d as well as in 2d, after reduction. We find 4d and 2d conformal anomaly induced effective action (EA) for Majorana spinor. It is expected for some time that s-wave EA (i.e. the one for dilaton coupled 2d matter) is some (s-wave) approximation to 4d EA. We compare such 2d and 4d spinor EAs on the same gravitational background and argue that s-wave EA indeed qualitatively corresponds to no higher derivatives approximation for 4d EA.
Nojiri Shin'ichi
Odintsov Sergei D.
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