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SUMMARY: Variations of the Mermin--Wagner theorem - Yuri Suhov (Cambridge)
DTSTART:20120619T131500Z
DTEND:20120619T141500Z
UID:TALK38038@talks.cam.ac.uk
CONTACT:24873
DESCRIPTION:The Mermin--Wagner theorem originates from\n theoretical physi
 cs\; in its initial form it states that\n two-dimensional systems of stati
 stical mechanics do not exhibit\n a continuous symmertry breakdown. In mod
 ern terms\, the theorem\n asserts that for random fields with continuous v
 alues\n on bi-dimensional graphs\, if the conditional probabilities of the
 \n field are invariant under a continuous transformation group\n then the 
 field itself is invariant under the same group.\n Also\, for point random 
 fields in a plane\, if the conditional\n probabilities are invariant under
  space-shifts then the\n field itself is shift-invariant. (Most recent res
 ults in this\n direction belong to T Richthammer.)\n\nThe talk will focus 
 on modifications of the above theorems\ncovering various classes of system
 s in quantum statistical\n mechanics. No preliminary knowledge from Quantu
 m Mechanics\n will be assumed.\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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