nLab
Lorenz gauge

Contents

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Contents

Idea

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

On Minkowski spacetime in standard coordinates this is the condition μA μ=0\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.