The Geometry of the solution space of first order Hamiltonian field theories II: non-Abelian gauge theories

Ciaglia, Florio M.; Di Cosmo, Fabio; Ibort, Alberto; Marmo, Giuseppe; Schiavone, Luca; Zampini, Alessandro

The Geometry of the solution space of first order Hamiltonian field theories II: non-Abelian gauge theories

Florio M. Ciaglia
(
- UC3M - Dept. Math., Madrid
)
,
Fabio Di Cosmo
(
- ICMAT, Madrid and
- UC3M - Dept. Math., Madrid
)
,
Alberto Ibort
(
- ICMAT, Madrid and
- UC3M - Dept. Math., Madrid
)
,
Giuseppe Marmo
(
- INFN, Naples and
- Naples U.
)
,
Luca Schiavone
(
- INFN, Naples and
- U. Naples (main)
)

Aug 30, 2022

e-Print:

2208.14155 [math-ph]

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Abstract: (arXiv)

We go on with the program started in the companion paper [CDI+] of defining a Poisson bracket structure on the space of solutions of the equations of motion of first order Hamiltonian field theories. The case of non-Abelian gauge theories is addressed by using a suitable version of the coisotropic embedding theorem.

gauge field theory: nonabelian
Hamiltonian formalism
Poisson bracket
embedding
symplectic
field equations: solution
Yang-Mills

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