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c.p.
c.p.
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what's $L^i_{\mu\nu}$, field strength? If so, it's "square" -what you wrote- is proportional to Killing form (which is essentially a trace); this is gauge invariant since $L$ transforms like $L\mapsto g^{-1}L g$$L\mapsto gLg^{-1} $ under gauge transformations.

what's $L^i_{\mu\nu}$, field strength? If so, it's "square" -what you wrote- is proportional to Killing form (which is essentially a trace); this is gauge invariant since $L$ transforms like $L\mapsto g^{-1}L g$ under gauge transformations.

what's $L^i_{\mu\nu}$, field strength? If so, it's "square" -what you wrote- is proportional to Killing form (which is essentially a trace); this is gauge invariant since $L$ transforms like $L\mapsto gLg^{-1} $ under gauge transformations.

Source Link
c.p.
c.p.
  • 1.5k
  • 13
  • 28

what's $L^i_{\mu\nu}$, field strength? If so, it's "square" -what you wrote- is proportional to Killing form (which is essentially a trace); this is gauge invariant since $L$ transforms like $L\mapsto g^{-1}L g$ under gauge transformations.