Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I have a short question about gauge theories and constraints. Imagine I have a symmetry algebra, and I gauge it. With N generators in the algebra I get N gauge fields and N gauge curvatures. In realizing the algebra on the gauge fields I assume the gauge parameters are independent and don't act on each-other; in this way I can check that the commutators of the algebra are realized on the gauge fields.

Now I introduce a curvature constraint. My question is: is it guaranteed that the Jacobi identity still realized on the gauge field? Even if the constraint is not invariant under all gauge transformations?

Many thanks in forward! :)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Gauge theories and constraints

**Physics Forums | Science Articles, Homework Help, Discussion**