• Corpus ID: 54196172

# Observable currents and a covariant Poisson algebra of physical observables

@article{DiazMarin2017ObservableCA,
title={Observable currents and a covariant Poisson algebra of physical observables},
author={Homero G. D'iaz-Mar'in and Jos{\'e} A. Zapata},
journal={arXiv: General Relativity and Quantum Cosmology},
year={2017}
}
• Published 25 April 2017
• Mathematics, Physics
• arXiv: General Relativity and Quantum Cosmology
Observable currents are locally defined gauge invariant conserved currents; physical observables may be calculated integrating them on appropriate hypersurfaces. Due to the conservation law the hypersurfaces become irrelevant up to homology, and the main objects of interest become the observable currents them selves. Gauge inequivalent solutions can be distinguished by means of observable currents. With the aim of modeling spacetime local physics, we work on spacetime domains $U\subset M$ which…
5 Citations

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## References

SHOWING 1-10 OF 43 REFERENCES

### A finite-dimensional canonical formalism in the classical field theory

AbstractA canonical formalism based on the geometrical approach to the calculus of variations is given. The notion of multi-phase space is introduced which enables to define whole the canonical

### Local subsystems in gauge theory and gravity

• Physics
• 2016
A bstractWe consider the problem of defining localized subsystems in gauge theory and gravity. Such systems are associated to spacelike hypersurfaces with boundaries and provide the natural setting

### Local and gauge invariant observables in gravity

It is well known that general relativity (GR) does not possess any non-trivial local (in a precise standard sense) and diffeomorphism invariant observable. We propose a generalized notion of local

### Covariant phase space, constraints, gauge and the Peierls formula

It is well known that both the symplectic structure and the Poisson brackets of classical field theory can be constructed directly from the Lagrangian in a covariant way, without passing through the

### L ∞ -ALGEBRAS OF LOCAL OBSERVABLES FROM HIGHER PREQUANTUM BUNDLES

• Mathematics
• 2017
. To any manifold equipped with a higher degree closed form, one can associate an L ∞ -algebra of local observables that generalizes the Poisson algebra of a symplectic manifold. Here, by means of an

### Categorified Symplectic Geometry and the Classical String

• Mathematics
• 2009
A Lie 2-algebra is a ‘categorified’ version of a Lie algebra: that is, a category equipped with structures analogous to those of a Lie algebra, for which the usual laws hold up to isomorphism. In the