What aspects of "conventional" quantum field theory (i.e. what's used by most practicing physicists) are considered to be lacking mathematical rigor?
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Possible duplicates: http://physics.stackexchange.com/q/4068/2451 and links therein. – Qmechanic Jan 15 '13 at 06:16
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2You might get better answers if you ask mathematicians... – user1504 Jan 15 '13 at 13:19
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The Wick rotation comes to mind ... – Dilaton Jul 30 '13 at 19:06