Geometry, stochastic calculus and quantum fields in a non-commutative space-time

The algebras of non-relativistic and of classical mechanics are unstable algebraic structures. Their deformation towards stable structures leads, respectively, to relativity and to quantum mechanics. Likewise, the combined relativistic quantum mechanics algebra is also unstable. Its stabilization requires the non-commutativity of the space-time coordinates and the existence of a fundamental length constant. The new relativistic quantum mechanics algebra has important consequences on the geometry of space-time, on quantum stochastic calculus and on the construction of quantum fields. Some of these effects are studied in this paper.Comment: 36 pages Latex, 1 eps figur

Stratification of the orbit space in gauge theories. The role of nongeneric strata

Gauge theory is a theory with constraints and, for that reason, the space of physical states is not a manifold but a stratified space (orbifold) with singularities. The classification of strata for smooth (and generalized) connections is reviewed as well as the formulation of the physical space as the zero set of a momentum map. Several important features of nongeneric strata are discussed and new results are presented suggesting an important role for these strata as concentrators of the measure in ground state functionals and as a source of multiple structures in low-lying excitations.Comment: 22 pages Latex, 1 figur

Field sexual attraction in the sorghum midge, Contarinia sorghicola (Coquillett, 1899) (Diptera, Cecidomyiidae).

No campo, fêmeas da mosca do sorgo, Contarinia sorghicola (Coquillett, 1899), atraem machos da especie para o acasalamento atraves da emissao de feromonio, o que foi comprovado atraves da utilizacao de armadilhas adesivas contendo femeas virgens ou extratos destas, a nivel de campo. O periodo de maior atratividade ocorreu entre 7:30 e 8:30 horas.Suplemento