# Massive gauge string sigma model action

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I want to know how to insert massive gauges in string sigma model action. For massless fields it is possible by integrating the U(1) field over the string worldsheet, but in the case of massive gauge if I use the same procedure to make massive gauge action I won't see the effect of mass in d-brane interaction, when massive gauges are living on the brane. I think that the procedure should be modified for massive gauges, the question is - how? I meane $\alpha_{-n}^\mu |0,k\rangle$ Which it's mass squared is $m^2={n-1 \over \alpha'}$

This post imported from StackExchange Physics at 2014-10-18 12:49 (UTC), posted by SE-user Mojtaba behzadi pour
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