1 / 4

Lagrangian for E&M Fields

(Homogeneous equations satisfied if ). Lagrangian for E&M Fields. Equations we would like to see emerge from Lagrangian. Maxwell’s inhomogeneous equations:. Energy Density:. Momentum flow:. Constraint: Gauge Invariance of Lagrangian.

ferdinand-leonard
Download Presentation

Lagrangian for E&M Fields

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. (Homogeneous equations satisfied if ) Lagrangian for E&M Fields Equations we would like to see emerge from Lagrangian Maxwell’s inhomogeneous equations: Energy Density: Momentum flow: Constraint: Gauge Invariance of Lagrangian

  2. Normal Type Lagrangian Density Normal Kinetic Term for Fields: However, not gauge invariant If and You get gauge invariance back. Note, in Lorentz gauge Total divergences don’t contribute to action

  3. E&M Lagrangian Equations of motion Inhomogeneous Maxwell’s equations

  4. Stress Energy Tensor Not obviously symmetric (but can be made so in the absence of sources – see Goldstein, p. 583) Total divergences – go to zero in surface integration for currents Not symmetric: angular momentum conservation?

More Related