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evanberkowitz / supervillain

MCMC for modified Villain constructions
https://supervillain.readthedocs.io/
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SSB Scaling #87

Closed evanberkowitz closed 1 month ago

evanberkowitz commented 9 months ago

On the SSB side of the transition, the Vortex_Vortex two-point function roughly speaking should factorize, so that the natural scaling of the VortexSusceptibility is $L^2$. So it might be beneficial to present that scaling in addition to the critical scaling.

evanberkowitz commented 1 month ago

In #136 we equip ourselves for faithful computation of the long-distance tail of the Vortex_Vortex correlator. However, as discussed in #131 the VortexSusceptibility (with or without scaling) being a good probe of critical behavior is W-dependent. In #136 we add the {Spin,Vortex}CriticalMoment which nails the behavior mentioned here. See slides 16 and 17 of my LATTICE 2024 talk for evidence that these critical moments are doing the right thing.