I consulted some textbooks about string theory, but they only told me that the Nambu-Goto action and the Polyakov action is equivalent. So I searched relevant questions here and got some ways of derivation however I want to know relation between the two actions and lagrangian multiplier.
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Possible duplicates: https://physics.stackexchange.com/q/17349/2451 and links therein. – Qmechanic Aug 29 '19 at 08:55
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Did you mean to ask for the opposite derivation? To reopen this post (v2), consider to align title and main body. – Qmechanic Aug 29 '19 at 08:56