At one loop, quantum kinks are described by a free theory. The nonlinearity and so the interesting phenomenology arrives at two loops, where, for example, internal excitations couple to continuum excitations. We calculate two-loop mass of scalar kink. Unlike previous calculations, we include counterterm which cancels vacuum energy density this order, that our result kink is finite even when non...

Crystalline 4-nitro-1-phenylimidazole, C9H7N3O2, (I), and 4'-nitro-1-phenyl-4,1'-biiimidazole, C12H9N5O2, (II), contain C-H...O and C-H...N hydrogen bonds, connecting the molecules into infinite chains. The aromatic fragments in both compounds are nearly planar. The dihedral angles between the benzene and imidazole rings are 26.78 (5) degrees in (I) and 29.36 (8) degrees in (II).

γνωσι πoλλoυς αι µπνoιης The goal of this paper is to prove two new congruences involving 4–cores using elementary techniques; namely, if a 4 (n) denotes the number of 4–cores of n, then a 4 (9n+2) ≡ 0 (mod 2) and a 4 (9n + 8) ≡ 0 (mod 4).