rp_ClassicalFieldTheory.tex

\chapter{Classical Field Theory}

The final goal would be to extend the results from classical mechanics to classical field theory, with the idea that the state is described by field configurations and the independent DOFs are the values of the fields at each point. It is yet unclear how to make this link properly.

\ifdraft

\openproblembreak

\openproblem{Conjugate quantities for fields}{rp-cf-conjugateFields}{Classical field theory, Symplectic field theory}
{We need to understand what are the correct relationship in terms of units and quantity definition that allow us to generalize the relationships from classical mechanics.}

\openproblem{Information theory for fields}{rp-cf-infoFields}{Classical field theory, Information theory}
{We need to understand how we can put probability measure and define information entropy over the space of fields configurations.}

\fi