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SUMMARY:Hao Lan-Xu (Stony Brook University)
DTSTART:20230921T183000Z
DTEND:20230921T193000Z
DTSTAMP:20260423T005744Z
UID:nhetc/88
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/nhetc/88/">A
 nalyticity properties of 2d Ising Field Theories</a>\nby Hao Lan-Xu (Stony
  Brook University) as part of NHETC Seminar\n\n\nAbstract\nIn this talk\, 
 I will discuss the analyticity properties of 2d Ising field theories (IFTs
 ). I will start with a short introduction to 2d Ising field theory\, which
  is the continuous limit of the 2d Ising model on square lattice. Then the
  different spectrum scenarios for high-T and low-T domains will be introdu
 ced. Generally speaking\, an IFT which sits not at the critical temperatur
 e and has a non-vanishing external field is neither solvable nor integrabl
 e. However\, it's possible to look into the analytical properties of vario
 us quantities in the theory space\, then further non-perturbative informat
 ion can be extracted. I will focus on the analyticity properties for mass 
 of the first excitation\, and discuss its critical behaviours and dispersi
 on relation in both ordered and disordered phase. Finally\, if time allowe
 d\, I will switch the topic and discuss the analyticity properties of the 
 analytical structure of S-matrices\, and show various related interesting 
 phenomenons together with unsolved questions.\n\nReferences:\n[1] Ising fi
 eld theory in a magnetic field: Analytic properties of the free energy\, P
 . Fonseca and A. Zamolodchikov\, hep-th/0112167 [hep-th].\n[2] Ising Spect
 roscopy II: Particles and poles at T > Tc\, A. Zamolodchikov\, 1310.4821 [
 hep-th].\n[3] 2D Ising Field Theory in a magnetic field: the Yang-Lee sing
 ularity\, H. Xu and A. Zamolodchikov\, 2203.11262 [hep-th].\n[4] On the S-
 matrix of Ising field theory in two dimensions\, B. Gabai and X. Yin\, 190
 5.00710 [hep-th]\n[5] Ising Field Theory in a Magnetic Field: Extended ana
 lyticity properties of M1\, H. Xu\, in preparation.\n
LOCATION:https://researchseminars.org/talk/nhetc/88/
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