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## Main Question or Discussion Point

Please teach me this:

Why do we only consider symmetry group(Lie group and Lie algebras) but not general symmetry(the transform that keeps Lagrangian invarian) in QFT?Is it because the symmetry group is more simple and more beautiful and in reality the forces of Nature obey the symmetry U(1)xSU(2)xSU(3)?

Thank you very much for your kind helping.

Why do we only consider symmetry group(Lie group and Lie algebras) but not general symmetry(the transform that keeps Lagrangian invarian) in QFT?Is it because the symmetry group is more simple and more beautiful and in reality the forces of Nature obey the symmetry U(1)xSU(2)xSU(3)?

Thank you very much for your kind helping.