The Setup
Let Greek indices be summed over 0,1,…,d and Latin indices over 1,2,…,d. Consider a vector potential Aμ on Rd,1 defined to gauge transform as Aμ→A′μ=Aμ+∂μθ
My Question
What, if any, is the physical justification for the smoothness and normalizability constraints on the gauge function θ?
EDIT 01/26/2013 Motivated by some of the comments, I'd like to add the following question: are there physically interesting examples in which the gauge function θ fails to be smooth and/or normalizable? References with more details would be appreciated. Lubos mentioned that perhaps monopoles or solitons could be involved in such cases; I'd like to know more!
Cheers!
No comments:
Post a Comment