Question

Is a non-abelian gauge field's strength observable?

Answer 1

Hey mate ^_^

For an abelian gauge field, the field strength Gμν is gauge-invariant....

This means it is a physically observable quantity, e.g. we can build an apparatus to measure electromagnetic field strength....

#Be Brainly❤️

Answer 2

Hello mate here is your answer.

For an abelian gauge field, the field strength GμνGμν is gauge-invariant. This means it is a physically observable quantity, e.g. we can build an apparatus to measure electromagnetic field strength.

For a non-abelian gauge field, GμνGμνtransforms non-trivially under infinitesimal gauge transformations ξaξa:

Gμν→G′μν=Gμν+[ξata,Gμν

Hope it helps you.