Anomaly-induced effective actions in even dimensions and reliability of s-wave approximation |
| |
| Affiliation: | 1. Institute of Oceanology, Polish Academy of Sciences, IO PAN, ul. Powstańców Warszawy 55, 81-712 Sopot, Poland;2. Leibniz Institute for Baltic Sea Research, IOW, Seestrasse 15 Warnemünde, D-18119 Rostock, Germany;1. Universite de Sousse, ISITCom, MARS Research Laboratory, LR17ES05, 4011, Hammam Sousse, Tunisia |
| |
| Abstract: | The reduction of 4d matter-gravity theory to S2, H2 or R2 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. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
