185 citations · 632 across the 27 of their papers we have counts for
27 papers
A discretization of Holst's action for general relativity
Carlos E. Beltrán, José A. Zapata
We present a simplicial model for gravity written in terms of a discretized Lorentz connection and a discretized tetrad field. The continuum limit of its action is Holst's action f…
Homotopy data as part of the lattice field: A first study
Pietro Dall'Olio, José A. Zapata
Fields exhibit a variety of topological properties, like different topological charges, when field space in the continuum is composed by more than one topological sector. Lattice t…
Macroscopic observables from the comparison of local reference systems
Claudio Meneses, Jose A. Zapata
Parallel transport as dictated by a gauge field determines a collection of local reference systems. Comparing local reference systems in overlapping regions leads to an ensemble of…
Gauge from holography and holographic gravitational observables
José A. Zapata
In a spacetime divided into two regions and by a hypersurface , a perturbation of the field in is coupled to perturbations in by means of the holographic…
Observable currents and a covariant Poisson algebra of physical observables
Homero G. Díaz-Marín, José A. Zapata
Observable currents are locally defined gauge invariant conserved currents; physical observables may be calculated integrating them on appropriate hypersurfaces. Due to the conserv…
Homotopy classes of gauge fields and the lattice
Claudio Meneses, José A. Zapata
For a smooth manifold , possibly with boundary and corners, and a Lie group , we consider a suitable description of gauge fields in terms of parallel transport, as groupoid h…