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SUMMARY:Christophe Garban (Université Lyon 1)
DTSTART;VALUE=DATE-TIME:20211012T140000Z
DTEND;VALUE=DATE-TIME:20211012T150000Z
DTSTAMP;VALUE=DATE-TIME:20211022T091215Z
UID:IAMP_seminars/70
DESCRIPTION:Title: Continuous symmetry breaking along the Nishimori line\nby Chris
tophe Garban (Université Lyon 1) as part of One world IAMP mathematical p
hysics seminar\n\n\nAbstract\nI will discuss a new way to prove continuous
symmetry breaking for (classical) spin systems on Z^d\, d\\geq 3 which do
es not rely on "reflection positivity". \nOur method applies to models wh
ose spins take values in S^1\, SU(n) or SO(n) in the presence of a certain
quenched disorder called the Nishimori line. The proof of continuous symm
etry breaking is based on two ingredients

\n1) the notion of "group sy
nchronization" in Bayesian statistics. In particular a recent result by Ab
be\, Massoulié\, Montanari\, Sly and Srivastava (2018) which proves group
synchronization when d\\geq 3.

\n2) a gauge transformation on both th
e disorder and the spin configurations due to Nishimori (1981).

\nI wi
ll end the talk with an application of these techniques to a deconfining t
ransition for U(1) lattice gauge theory on the Nishimori line. \nThis is a
joint work with Tom Spencer (https://arxiv.org/abs/2109.01617).\n
LOCATION:https://researchseminars.org/talk/IAMP_seminars/70/
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