The stepwise path integral of the relativistic point particle

In this paper we present a stepwise construction of the path integral over relativistic orbits in Euclidean spacetime. It is shown that the apparent problems of this path integral, like the breakdown of the naive Chapman-Kolmogorov relation, can be solved by a careful analysis of the overcounting associated with local and global symmetries. Based on this, the direct calculation of the quantum propagator of the relativistic point particle in the path integral formulation results from a simple and purely geometric construction.Comment: 10 pages, 5 figure

Ceramic in the graphic and pictorical works of Murillo

Con esta breve comunicación pretendemos divulgar el gran número de obras de Bartolomé Esteban Murillo (1617/1682) en las que el artista representa objetos cerámicos. Incluimos un primer apartado en el que analizamos la terminología empleada en nuestro texto. En un segundo epígrafe examinaremos todas aquellas obras murillescas en las aparezcan objetos cerámicos.Through this written communication we pretend to offer an overview of the vast work of Bartolomé Esteban Murillo (1617/1682), concretely those where the artist represents ceramic objects. We analyze the terminology used in our text in a first section. In the second one we examine those Murillo's works where the artist shows ceramic objects

Domingo Martínez: a new addition to his catalogue. Precisions on its iconography

En los últimos años están apareciendo en el mercado de arte una serie de obras que tras ser expoliadas de su localización original pasaron a manos privadas. En este artículo damos a conocer una pintura firmada por el artista sevillano Domingo Martínez, que no ha sido, hasta el momento, recogida en los catálogos de la producción del artista. Se analiza la procedencia de la obra, vinculada posiblemente al convento de San Francisco de Sevilla, y se determina su iconografía y su mensaje doctrinal.A series of artworks are emerging in the art market in the last years after being dispossessed from its original location to private hands. We introduce in this paper a painting signed by the Sevillian artist Domingo Martínez, which has not been included in his catalogue until now. The origin of the work, possibly linked to the San Francisco Convent, will be discussed in the same way as iconography and doctrinal message