We review in simple terms the covariant approaches to the canonical formulation of classical relativistic field theories (in particular gauge field theories) and we discuss the relationships between these approaches as well as the relation with the standard (non-covariant) Hamiltonian formulation. Particular attention is paid to conservation laws related to Poincaré invariance within the different approaches. To make the text accessible to a wider audience, we have included an outline of Poisson and symplectic geometry for both classical mechanics and field theory
19 pages, no figuresHamiltonian mechanics of field theory can be formulated in a generally covariant...
We review the Lagrangian formulation of (generalised) Noether symmetries in the framework of Calculu...
This 2002 book discusses the classical foundations of field theory, using the language of variationa...
We review in simple terms the covariant approaches to the canonical formulation of classical relativ...
In a gauge theory, one can define the Poisson brackets of gauge-invariant functions ("observables") ...
International audienceWe generalize Koopman-von Neumann classical mechanics to relativistic field th...
A covariant hamiltonian description was introduced in the dynamics of charges and electromagnetic in...
Poisson brackets that are spacetime covariant are presented for a variety of relativistic field theo...
Poisson brackets that are spacetime covariant are presented for a variety of relativistic field theo...
Poisson brackets that are spacetime covariant are presented for a variety of relativistic field theo...
In this paper I shall present some result from the theory of classical non-relativistic field theory...
this paper.) In Part I we develop some of the basic theory of classical fields from a spacetime cov...
A canonical quantization approach to classical field theory, this text includes an introduction to d...
International audienceWe address the Hamiltonian formulation of classical gauge field theories while...
By definition, gauge theories - among the cornerstones of fundamental theoretical physics - involve ...
19 pages, no figuresHamiltonian mechanics of field theory can be formulated in a generally covariant...
We review the Lagrangian formulation of (generalised) Noether symmetries in the framework of Calculu...
This 2002 book discusses the classical foundations of field theory, using the language of variationa...
We review in simple terms the covariant approaches to the canonical formulation of classical relativ...
In a gauge theory, one can define the Poisson brackets of gauge-invariant functions ("observables") ...
International audienceWe generalize Koopman-von Neumann classical mechanics to relativistic field th...
A covariant hamiltonian description was introduced in the dynamics of charges and electromagnetic in...
Poisson brackets that are spacetime covariant are presented for a variety of relativistic field theo...
Poisson brackets that are spacetime covariant are presented for a variety of relativistic field theo...
Poisson brackets that are spacetime covariant are presented for a variety of relativistic field theo...
In this paper I shall present some result from the theory of classical non-relativistic field theory...
this paper.) In Part I we develop some of the basic theory of classical fields from a spacetime cov...
A canonical quantization approach to classical field theory, this text includes an introduction to d...
International audienceWe address the Hamiltonian formulation of classical gauge field theories while...
By definition, gauge theories - among the cornerstones of fundamental theoretical physics - involve ...
19 pages, no figuresHamiltonian mechanics of field theory can be formulated in a generally covariant...
We review the Lagrangian formulation of (generalised) Noether symmetries in the framework of Calculu...
This 2002 book discusses the classical foundations of field theory, using the language of variationa...