# nLab Lorenz gauge

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## Surveys, textbooks and lecture notes

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• Axiomatizations

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• Tools

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• Structural phenomena

• Types of quantum field thories

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• examples

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# Contents

## Idea

For electromagnetism the Lorenz gauge condition is one possible gauge fixing condition: It requests that the divergence of the gauge potential $A$ differential 1-form vanishes: $d \star A = 0$.

On Minkowski spacetime in standard coordinates this is the condition $\partial_\mu A^\mu = 0$ (using Einstein summation convention).

In BV-BRST formalism this gauge (and its variants) is implement by introducing the auxiliary “Nakanishi-Lautrup field” together with its “antighost field”, see at quantization of Yang-Mills theory.

## References

Named after Ludvik Lorenz (not to be confused with Hendrik Lorentz whose name is attached to the Lorentz group).

• Marc Henneaux, section 9.1 of Lectures on the Antifield-BRST formalism for gauge theories, Nuclear Physics B (Proceedings Supplement) 18A (1990) 47-106 (pdf)

Last revised on December 18, 2017 at 04:53:27. See the history of this page for a list of all contributions to it.