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Shailesh Chandrasekharan (Duke University)
Date & Time
Thu, 11 May 2023, 15:45 to 17:30
Madhava Lecture Hall and Online

It is well known that continuum quantum field theories can emerge from lattice field theories when the latter are tuned to critical points. However, this understanding has taken a somewhat magical twist in recent years, where we are able to show that free Gaussian field theories with marginally relevant couplings seem to emerge at long distances from just a few discrete lattice degrees of freedom. After quickly reviewing an older result in the O(3) nonlinear sigma model which showed us this phenomenon, I will demonstrate that something similar occurs in the well-known BKT transition. Apparently, a simple loop-gas model on a square lattice with three degrees of freedom per lattice site can reproduce the massive phase of the transition automatically fine-tuned to the transition. An interesting question for the future is whether these few isolated cases we have seen are just “tips of icebergs” of a more elaborate hidden approach to other continuum quantum field theories.

Zoom link:
Meeting ID: 880 9276 6911
Passcode: 232322