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The zero trace of the known energy-momentum tensors (EMT) of theelectromagnetic field (EMF) leads to contradictions in the virial theorem for asystem of charged particles and incorrect conclusions on the equilibrium stateof the plasma. From the EMF and induction tensors, in the form of their matrixproduct, a EMT with a non-zero trace is obtained. Its trace is a quadraticinvariant of the EMF. The consequences of the new EMT for electromagneticforces, the virial theorem and the conditions of the equilibrium state of asystem of charged particles and long-lived plasma phenomena are shown.

The energy-momentum tensor of the electromagnetic field with a non-zero trace, the virial theorem and plasma equilibrium