caa a22 4500 467911517 CHVBK 20180406152850.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s11232-006-0076-7 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0076-7 Massive Majorana fermion coupled to two-dimensional gravity and the random-lattice Ising model [Elektronische Daten] [Al. Zamolodchikov, Y. Ishimoto] We consider the partition function of the two-dimensional free massive Majorana fermion coupled to the quantized metric of the spherical topology. By adding an arbitrary conformal "spectator” matter, we gain control over the total matter central charge. This provides an interesting continuously parameterized family of critical points and also allows making a connection with the semiclassical limit. We use the Liouville field theory as the effective description of the quantized gravity. The spherical scaling function is calculated approximately, but (we believe) to a good numerical precision, in almost the whole domain of the spectator parameter. An impressive comparison with the predictions of the exactly solvable matrix model yields a more general model of random-lattice statistics, which is most probably not solvable by the matrix-model technique but reveals a more general pattern of critical behavior. We hope that numerical simulations or series extrapolation will be able to reveal our family of scaling functions. Springer Science+Business Media, Inc., 2006 Liouville field theory nationallicence two-dimensional gravity nationallicence Ising model nationallicence random lattice nationallicence Zamolodchikov Al Laboratoire de Physique Théorique et Astroparticules, Université Montpellier II, Montpellier, France aut Ishimoto Y. Kawai Theoretical Laboratory, RIKEN, Saitama, Japan aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/3(2006-06-01), 755-776 0040-5779 147:3<755 2006 147 11232 https://doi.org/10.1007/s11232-006-0076-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0076-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zamolodchikov Al Laboratoire de Physique Théorique et Astroparticules, Université Montpellier II, Montpellier, France aut NATIONALLICENCE 700 1- Ishimoto Y. Kawai Theoretical Laboratory, RIKEN, Saitama, Japan aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/3(2006-06-01), 755-776 0040-5779 147:3<755 2006 147 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer