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Feb 26, 2019 at 15:30 vote accept Riccardo
Feb 25, 2019 at 18:39 comment added Chris Gerig The iteration occurs because we are trying to find out where the energy is really going/concentrating. Consider the base case: If no energy is concentrating at a point along the sphere, then no ghost bubble is going to form there, the renormalization process does nothing. It’s only when you had energy concentrating at some point that you’ll get a bubble tree based at that point, so the concentrated energy is now somewhere in that tree and we repeat the process.
Feb 25, 2019 at 17:58 comment added Riccardo dear Chris, thanks a lot for the clarifying answer. I must apologise in advance but I still don't see why I can't just keep on attaching ghost bubbles to ghost bubbles. I think the problem in my understanding is that, in the presence of Ghost bubbles, I don't clearly see why every iteration of this procedure costs $\hslash$ energy. Because if the procedure has to end, by lemma 4.2 I agree that eventually there must be a non-constant bubble that "ends" the branch of my tree.
Feb 25, 2019 at 4:01 history edited Chris Gerig CC BY-SA 4.0
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Feb 25, 2019 at 0:21 history edited Chris Gerig CC BY-SA 4.0
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Feb 24, 2019 at 23:53 history edited Chris Gerig CC BY-SA 4.0
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Feb 24, 2019 at 23:48 history edited Chris Gerig CC BY-SA 4.0
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Feb 24, 2019 at 23:31 history answered Chris Gerig CC BY-SA 4.0