# String Worldsheet Area

Classical Mechanics Level pending

Consider a relativistic string lying on the y-axis at time $$\tau = 0$$, stretching from $$y=0$$ to $$y=1$$. The string is parameterized so that one endpoint is at $$\sigma=0$$ and the other is at $$\sigma=1$$, and so that $$\tau = t$$. Now allow the string to propagate from time $$\tau = 0$$ to time $$\tau = 1$$, leaving the string fixed on the y-axis. Find the area of the resulting string worldsheet.

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