Symmetry breaking in a gas of bosons - an approach using constructive field theory
Duration: 1 hour 9 mins
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About this item
| Description: |
Knoerrer, H
Wednesday 5th September 2018 - 11:30 to 12:30 |
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| Created: | 2018-09-05 17:15 |
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| Collection: | Scaling limits, rough paths, quantum field theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Knoerrer, H |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | T.Balaban, J.Feldman, E.Trubowitz and the speaker have the long term goal to rigorously demonstrate symmetry breaking in a gas of weakly interaction bosons hopping on a three-dimensional lattice. Technically, to show that the correlation functions decay at a nonintegrable rate when the chemical potential is sufficiently positive, the nonintegrability reflecting the presence of a long range Goldstone boson mediating the inteaction between quasiparticles in the superfluid condensate. In addition to a report on the status of this program, I will try to describe in more detail the method of block spin transformations that we use to define and control a renormalization group flow. |
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