Speaker
Description
The covariant phase space (CPS) formalism provides a geometric framework to derive equations of motion and endow the space of solutions with a symplectic structure. This variational approach additionally provides Noether charges and plays a central role in modern gravitational physics and gauge theories. Despite its conceptual elegance, explicit computations in physically relevant models (particularly in gravitational theories with higher-derivative or non-minimal couplings) can become technically demanding and error-prone.
In this talk, after a brief introduction to the the CPS formalism, I will present xCPS, a Mathematica package designed to automate the covariant phase space formalism for general Lagrangian field theories. The package computes equations of motion, presymplectic potentials, symplectic currents, Noether currents and charges, and related geometric structures in a fully covariant manner. I will conclude with some interesting examples.
| Keyword-1 | Covariant Phase Space |
|---|---|
| Keyword-2 | Gravity |
| Keyword-3 | Computational implementation |