- #1
"pi"mp
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I was recently familiarizing myself with T-duality and had a thought that I'm not sure is correct:
In QFT when we probe too short a distance, the theory explodes and gives infinite results. In string theory, from what I understand, we don't really have any business asking about length scales below [itex] \sqrt{\alpha'} [/itex]. Yet it seems that instead of exploding like QFT, the theory politely "cushions" us when we try to do so, and places us at some larger radius thanks to T-duality.
Is this a sensible way to interpret the result? Or is there a better way? Seems like something along these lines should hold also for strong/weak dualities in M-theory
In QFT when we probe too short a distance, the theory explodes and gives infinite results. In string theory, from what I understand, we don't really have any business asking about length scales below [itex] \sqrt{\alpha'} [/itex]. Yet it seems that instead of exploding like QFT, the theory politely "cushions" us when we try to do so, and places us at some larger radius thanks to T-duality.
Is this a sensible way to interpret the result? Or is there a better way? Seems like something along these lines should hold also for strong/weak dualities in M-theory