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SUMMARY:Simone Fabbri (SISSA)
DTSTART:20260317T130000Z
DTEND:20260317T150000Z
DTSTAMP:20260423T004038Z
UID:PSMQFT/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PSMQFT/8/">N
 on-perturbative renormalization for lattice massive QED2: the ultraviolet 
 problem</a>\nby Simone Fabbri (SISSA) as part of Probability\, Statistical
  Mechanics and Quantum Fields\n\n\nAbstract\nI will consider a lattice reg
 ularization of the massive QED in 2d\, describing a Dirac fermion interact
 ing with a massive vector field\, in the regime in which the fermion mass 
 is much smaller than the boson mass and the latter is much smaller than th
 e ultraviolet cut-off\, which is the suitable one to mimic a realistic 4d 
 massive gauge theory like the Electroweak sector. The presence of the latt
 ice and of non-zero fermion mass breaks any solvability property. I will s
 how that the effective action obtained after the integration of the ultrav
 iolet degrees of freedom is expressed by expansions which are convergent f
 or values of the coupling (electric charge) independent on the fermion mas
 s and the ultraviolet cut-off\, and with cut-off-independent bare paramete
 rs. By combining this result with the analysis of the infrared part in pre
 vious papers we get a complete construction of the model and a number of p
 roperties whose analogous are expected to hold in 4d. As I will discuss\, 
 the choice of lattice rather than momentum regularization\, essential for 
 ensuring Ward Identities\, requires the development of new methods to get 
 the necessary non-perturbative bounds. \nBased on a recent joint work with
  V. Mastropietro (Roma La Sapienza) and B. Renzi (SISSA).\n
LOCATION:https://researchseminars.org/talk/PSMQFT/8/
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