Electromagnetic tensor: Difference between revisions

Revision as of 03:53, 3 February 2006

Revision as of 16:56, 5 February 2006

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:<math>B_x = \partial_3 A_2 - \partial_2 A_3 \,</math>

EvatualtingEvaluating all the components results in a second-rank, antisymmetric and covariant tensor:

:<math>F_{a b} = \partial_a A_b - \partial_b A_a \,</math>

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==Role in Quantum Electrodynamics and Field Theory==

The [[Lagrangian]] of QED extends beyond the classical Lagrangian established in relativity from <math>L = - \frac{1}{4\pi}F^{\mu\nu}F_{\mu\nu},</math> to incorporate the creation and annhilationannihilation of photons (and electrons).

In Quantum field theory, it is used for the template of the gauge field strength tensor. That is used in addition to the local interaction Lagrangian, nearly identical to its role in QED.