|
Título:
|
Thiemann transform for gravity with matter fields
|
|
Autores:
|
Garay Elizondo, Luis Javier ;
Mena Marugán, Guillermo A.
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
IOP publishing ltd, 1998-12
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/openAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Física: Física-Modelos matemáticos
,
Materia = Ciencias: Física: Física matemática
,
Tipo = Artículo
|
|
Resumen:
|
The generalized Wick transform discovered by Thiemann provides a well established relation between the Euclidean and Lorentzian theories of general relativity. We extend this Thiemann transform to the Ashtekar formulation for gravity coupled with spin-1/2 fermions, a non-Abelian Yang-Mills field and a scalar field. It is proved that, on functions of the gravitational and matter phase space variables, the Thiemann transform is equivalent to the composition of an inverse Wick rotation and a constant complex scale transformation of all fields. This result also holds for functions that depend on the shift vector, the lapse function and the Lagrange multipliers of the Yang-Mills and gravitational Gauss constraints, provided that the Wick rotation is implemented by means of an analytic continuation of the lapse. In this way, the Thiemann transform is furnished with a geometric interpretation. Finally, we confirm the expectation that the generator of the Thiemann transform can be determined just from the spin of the fields and give a simple explanation for this fact.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/29939/1/Garay37preprint.pdf
|
