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SUMMARY:Leonardo Goller (SISSA)
DTSTART:20260219T100000Z
DTEND:20260219T120000Z
DTSTAMP:20260423T004037Z
UID:PSMQFT/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PSMQFT/6/">L
 ong Range Order in a Euclidean Gross-Neveu model on the lattice</a>\nby Le
 onardo Goller (SISSA) as part of Probability\, Statistical Mechanics and Q
 uantum Fields\n\n\nAbstract\nThe Gross–Neveu (GN) model is a quantum fie
 ld theory in $1+1$ dimensions describing $N$ massless Dirac fermions inter
 acting through an attractive four-fermion coupling. Introduced by Gross an
 d Neveu \\cite{PhysRevD.10.3235} as a toy model for QCD\, it shares two of
  its key features: asymptotic freedom and dynamical mass generation via sp
 ontaneous breaking of a $\\mathbb{Z}_2$ chiral symmetry\, allowing the fer
 mion bilinear $(\\overline{\\psi}\\psi)(x)$ to acquire a non-zero expectat
 ion value.\n\nIn this talk\, we rigorously prove that a Euclidean lattice 
 formulation of the Gross–Neveu model introduced by Cohen\, Elitzur and R
 abinovici exhibits long-range order in the $\\mathbb{Z}_2$-charged fermion
  bilinear $\\overline{\\psi}\\psi$ for sufficiently large $N$ in two space
 time dimensions.\n\nThe proof relies on reflection positivity of the boson
 ized measure obtained via a Hubbard–Stratonovich transformation of the f
 ermionic action and\, in particular\, on chessboard estimates in the spiri
 t of Fröhlich and Lieb (1978).\n\nJoint work with Simone Fabbri (SISSA)\n
LOCATION:https://researchseminars.org/talk/PSMQFT/6/
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