Publications Influence

Share This Author

Quantization of diffeomorphism invariant theories of connections with local degrees of freedom

- A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao, T. Thiemann
- Mathematics
- 12 April 1995

Quantization of diffeomorphism invariant theories of connections is studied and the quantum diffeomorphism constraint is solved. The space of solutions is equipped with an inner product that is shown… Expand

On the support of the Ashtekar-Lewandowski measure

AbstractWe show that the Ashtekar-Isham extension
$$\overline {A/G}$$
of the configuration space of Yang-Mills theories
$$A/G$$
is (topologically and measure-theoretically) the projective limit of… Expand

Coherent State Transforms for Spaces of Connections

- A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao, T. Thiemann
- Mathematics
- 5 December 1994

Abstract The Segal–Bargmann transform plays an important role in quantum theories of linear fields. Recently, Hall obtained a non-linear analog of this transform for quantum mechanics on Lie groups.… Expand

On the Cosmology of Massive Vector Fields with SO(3) Global Symmetry

- M. C. Bento, O. Bertolami, P. Moniz, J. Mourao, P. M. S'a
- Physics, Mathematics
- 23 February 1993

The authors study the dynamics of flat Friedmann-Robertson-Walker cosmologies (FRW) in the presence of a triplet of massive vector fields with SO(3) global symmetry. They find an E3-symmetric ansatz… Expand

Dynamics of Euclideanized Einstein-Yang-Mills systems with arbitrary gauge groups

- O. Bertolami, J. Mourao, R. Picken, I. P. Volobujev
- Mathematics
- 30 September 1991

We describe the dynamics of euclideanized SO(4)-symmetric Einstein-Yang-Mills (EYM) systems with arbitrary compact gauge groups . For the case of SO(n) and SU(n) gauge groups and simple embeddings of… Expand

Integration on the space of Connections Modulo Gauge Transformations

- A. Ashtekar, D. Marolf, J. Mourao
- Physics
- 22 March 1994

A summary of the known results on integration theory on the space of connections modulo gauge transformations is presented and its significance to quantum theories of gauge fields and gravity is… Expand

Toric K\"ahler metrics seen from infinity, quantization and compact tropical amoebas

- Thomas Baier, C. Florentino, J. Mourao, J. P. Nunes
- Mathematics
- 3 June 2008

We consider the metric space of all toric K\"ahler metrics on a compact toric manifold; when "looking at it from infinity" (following Gromov), we obtain the tangent cone at infinity, which is… Expand

Coherent state transform and abelian varieties

- C. Florentino, J. Mourao, J. P. Nunes
- Mathematics
- 10 July 2002

We extend the coherent state transform (CST) of Hall to the context of abelian varieties by considering them as quotients of the complexification of the abelian group K=U(1)g. We show that this… Expand

Dimensional Reduction of Gauge Theories, Spontaneous Compactification and Model Building

- Y. Kubyshin, I. Volobuev, J. Mourao, G. Rudolph
- Physics
- 11 December 1989

This monograph presents in detail the reduction method for studying the unification of fundamental actions. The mathematical (differential geometrical) methods make extensive use of Lie Groups and… Expand

...

1

2

3

4

5

...