The electromagnetic energy-momentum tensor
Ricardo E. Gamboa Sarav\'i
TL;DR
This paper clarifies the relationship between different electromagnetic energy-momentum tensors and introduces a natural, symmetric, and gauge-invariant tensor derived from Noether's Theorem applicable to any space-time.
Contribution
It provides a unified definition of the electromagnetic energy-momentum tensor that is symmetric and gauge-invariant, based on Noether's Theorem, for arbitrary space-time dimensions.
Findings
Derived a natural, symmetric energy-momentum tensor from Noether's Theorem.
Established the gauge invariance of the tensor.
Applicable to electromagnetic theories in any space-time dimension.
Abstract
We clarify the relation between canonical and metric energy-momentum tensors. In particular, we show that a natural definition arises from Noether's Theorem which directly leads to a symmetric and gauge invariant tensor for electromagnetic field theories on an arbitrary space-time of any dimension.
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