Closed Strings, World-sheets, and Stoke's Theorem

Posted by Mike2 on September 29, 2003 at 07:15:08:

I'm trying to discover the geometric necessity of the Lagrangian and/or the Action integral as it applies to string theory. So I'm looking at calculations that relate surfaces with curves.

When dealing with the world-sheet of closed strings, the world-sheet looks more like a tube. It occurs to me that there is a connection between surfaces (like a world-tube) and closed loops (like closed string) called Stoke's Theorem. If we assume that at some distant point in the past the tube at time = 0 is closed, then the world tube is a surface to which Stoke's theorem can be applied. We could simply subtract the calculation of Stoke's Theorem around the closed loop (string) at one time from the calculation of a future time. Is there anything in the literature about this? Of course we would be dealing with a higher dimensional generalization of Stoke's Theorem.

Thanks.


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Follow Ups: (Reload page to see most recent)

• Re: Closed Strings, World-sheets, and Stoke's Theorem -- DickT 9/29/03 (5)
  • Re: Closed Strings, World-sheets, and Stoke's Theorem -- Mike2 9/29/03 (4)
    • Re: Closed Strings, World-sheets, and Stoke's Theorem -- DickT 9/30/03 (3)
      • Re: Closed Strings, World-sheets, and Stoke's Theorem -- Mike2 9/30/03 (2)
        • Re: Closed Strings, World-sheets, and Stoke's Theorem -- DickT 9/30/03 (1)
          • Re: Closed Strings, World-sheets, and Stoke's Theorem -- Mike2 9/30/03 (0)

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