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[Somogyi Gábor <somogyi.gabor AT wigner.hu>]

Wigner FK RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk


               Ramon Miravitllas Mas
               (HUN-REN Wigner RCP)


"Trans-series from condensates”


címmel tartandó szemináriumára.


Kivonat:



Perturbation theory fails to describe the low-energy phenomenology of QCD, 
like confinement, the mass gap, and the masses of hadrons. Invoking the 
Wilson’s operator expansion, one can extend perturbative expansions to 
trans-series, which contain some non-perturbative information encoded in the 
vacuum condensates. Motivated by this, we will discuss the Gross--Neveu 
model, a toy QFT of N fermions in 1+1 dimensions which shares some of the 
non-perturbative properties of QCD. This toy model is amenable to some exact 
results when the number of fermions N is large. In particular, the two-point 
function of the fermions can be computed exactly at the first non-trivial 
order in 1/N. We then compare this result with a direct computation of the 
first coefficients of the Wilson’s operator expansion, also at large N, and 
find a perfect match. This provides a precise test for the validity of the 
operator expansion and the methods used to compute its coefficients.



Helye: Wigner FK RMI III. ép. Tanácsterem
Ideje: 2024 február 16. péntek d.u. 2 óra

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                          Somogyi Gábor