Question: Does Epsilon = i A^+/p^+ for Zwiebach Page 178?

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The discussion centers on the interpretation of epsilon in Zwiebach's text, specifically regarding its role in the equation epsilon = i A^+/p^+. The original poster questions how this definition aligns with the notion of epsilon being an infinitesimal constant, suggesting a contradiction. However, it is clarified that Zwiebach refers to epsilon as an arbitrary function of the coordinates in an earlier section, resolving the confusion. This distinction indicates that epsilon can vary rather than being strictly constant. The conversation highlights the importance of context in understanding mathematical definitions in theoretical physics.
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Homework Statement


Below equation 10.77, Zwiebach claims that the gauge epsilon = i A^+/p^+ makes the vector potential component A^+ vanish.

However, I thought epsilon was supposed to be infinitesimal and a constant, both of which are violated by setting epsilon equal to the expression?


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I thought epsilon was supposed to be infinitesimal and a constant, both of which are violated by setting epsilon equal to the expression?
Actually, just above equation (10.68) on page 177, he refers you back to Section 3.3 where on page 43, just below equation (3.19) he writes that epsilon is an arbitrary function of the coordinates.
 
I see. Thanks.
 

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