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SUMMARY:Bosonisation of one-dimensional fermion systems and applications t
 o spin chains
DTSTART;VALUE=DATE-TIME:20260414T230000Z
DTEND;VALUE=DATE-TIME:20260414T230700Z
DTSTAMP;VALUE=DATE-TIME:20260413T083354Z
UID:indico-contribution-345@fisindico.uniandes.edu.co
DESCRIPTION:Speakers: Camilo Moreno Alfaro (Universidad de los Andes)\nBos
 onisation is a technique to solve one-dimensional fermion models by transf
 orming them to bosonic systems. S. Coleman (1975) showed that the correlat
 ors of the massive Thirring model\, a one-dimensional Dirac fermion with s
 elf-interactions\, coincide with those of the Sine-Gordon boson\, and late
 r\, S. Mandelstam (1975) found the explicit map between these two systems.
  The identities found by Mandelstam generalise to a broader set of one-dim
 ensional fermion models\, that is\, those that can be associated to a boso
 n\, and whose properties can hence be studied in an often simpler way by m
 eans of this mapping.\nThe transformation between fermions and bosons\, ho
 wever\, is but a particular case of seeking equivalent models to a particu
 lar system in order to examine its behaviour in a potentially simpler way.
  Another example of such transformations is that of Jordan and Wigner (192
 8)\, who developed a way to map quantum spin lattices to fermions. This pr
 oject seeks to examine quantum spin chains under the light of the Jordan-W
 igner transformation and a subsequent bosonisation\, which in many ways si
 mplify the study of the statistical and thermodynamic behaviour of the cha
 in.\n\nhttps://fisindico.uniandes.edu.co/event/23/contributions/345/
LOCATION:Universidad Nacional Edificio 564
URL:https://fisindico.uniandes.edu.co/event/23/contributions/345/
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