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- Thread starter suyver
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Probably Lagrangian is more fundamental when considering path integral and gauge symmetry. But I think it's just a kind of notation. You can also start from Lagrangian and correspondingly modify the forms of path integral and gauge symmetry.

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Cool, thanks for the clear answers!

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Janitor

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The basic laws of dynamics can be formulated in several ways other than that given by Newton. The most important of these are: (a) D'Alembert's principle; (b) Lagrange's equations, (c) Hamilton's equations, (d) Hamilton's principle. All are basically equivalent.

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- #7

Haelfix

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In classical mechanics, Hamiltons principle is more general than the lagrangian. So too is it in quantum field theory. The lagrangian manifold is typically a subspace of the more general symplectic space

But like you said, it is more convenient to work with the lagrangian since it admits a path integral formulation, and is manifestly covariant.

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