A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary
Facultad de Ciencias Físico-Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia C.P. 58060, Mexico
Current address: Ciudad Universitaria, Morelia C.P. 58060, Michoacán, México.
Received: 28 May 2019 / Accepted: 4 June 2019 / Published: 4 July 2019
PDF [357 KB, uploaded 4 July 2019]
We define a family of observables for abelian Yang-Mills fields associated to compact regions
with smooth boundary in Riemannian manifolds. Each observable is parametrized by a first variation of solutions and arises as the integration of gauge invariant conserved current along admissible hypersurfaces contained in the region. The Poisson bracket uses the integration of a canonical multisymplectic current.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
Díaz-Marín, H.G. A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary. Symmetry 2019, 11, 880.
Díaz-Marín HG. A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary. Symmetry. 2019; 11(7):880.
Díaz-Marín, Homero G. 2019. "A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary." Symmetry 11, no. 7: 880.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
For more information on the journal statistics, click here
Multiple requests from the same IP address are counted as one view.