[Talk] four poynting theorems
http://arxiv.org/PS_cache/arxiv/pdf/0908/0908.1721v1.pdf
The correct definition of electromagnetic flux has long been controversial,
with the main competition being between the Abraham and Minkowski forms.
...
We have summarized four distinct electromagnetic continuity equations, each
being derived from Maxwell's equations and the standard constitutive relations.
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http://en.wikipedia.org/wiki/Gauge_theory
In physics, a gauge theory is a type of field theory in which the Lagrangian
is invariant under a continuous group of local transformations.
The term gauge refers to redundant degrees of freedom in the Lagrangian. The
transformations between possible gauges, called gauge transformations, form
a Lie group which is referred to as the symmetry group or the gauge group of
the theory. Associated with any Lie group is the Lie algebra of group
generators. For each group generator there necessarily arises a corresponding
vector field called the gauge field. Gauge fields are included in the
Lagrangian to ensure its invariance under the local group transformations.
When such a theory is quantized, the quanta of the gauge fields are called
gauge bosons. If the symmetry group is non-commutative, the gauge theory is
referred to as non-abelian, the usual example being the Yang-Mills theory.
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http://en.wikipedia.org/wiki/Yang%E2%80%93Mills_theory
Wolfgang Pauli formulated in 1953 the first consistent generalization of
the five-dimensional theory of Kaluza, Klein, Fock and others to a higher
dimensional internal space. Because Pauli saw no way to give masses to the
gauge bosons, he refrained from publishing his results formally.
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