ELFT HÍRADÓ

[somogyi <somogyi.gabor AT wigner.hun-ren.hu>]

Wigner FK RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk


                Yizhuang Liu
                (Jagiellonian University, Cracow)


"Marginal perturbative series of integrable critical XXX spin chain: 
renormalon, resurgence and power corrections”


címmel tartandó szemináriumára.


Kivonat:



In this talk, I present our recent work on perturbative/trans-series of 
integrable critical XXX antiferromagnetic spin chains with arbitrary 
spin s, for the ground state energy in the small external field limit.  
By applying Wiener-Hopf analysis to thermodynamic Bethe ansatz (TBA) 
equations, we generated in a systematic way the perturbative series in 
natural running coupling constants, obtained their singularity 
structures in the Borel plane, and revealed the conspiracy between the 
Borel singularities and non-perturbative exponentially small 
contributions (eg, resurgence structure). It turns out that the 
perturbative series relates to that for a class of massive integrable 
deformations of  SU(2) WZW CFT at level 2s by sign flip in the coupling 
constants. Moreover, for s>1, the leading singularities in the Borel 
plane are located at t=k/s (k>=1), and they conspire with fractional 
power-corrections at h^{2+k/s}. In the large s limit, such fractional 
power corrections condense into a new branch cut and the perturbative 
series in this limit is controlled by the O(4) non-linear sigma model's 
integral kernel.



Helye: Wigner FK RMI III. ép. Tanácsterem
Ideje: 2024 február 12. hétfő d.u. 1 óra (SZOKÁSOSTÓL ELTÉRŐ NAP ÉS 
IDŐPONT)

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                           Somogyi Gábor