Семинар 3 апреля 2018. Николай Громов. Quantum Spectral Curve and Structure Constants in N = 4 SYM: Cusps in the Ladder Limit

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3 апреля 2018, в 15:00

Кафедра физики высоких энергий и элементарных частиц

Николай Громов (King's Coll.London, Dept.Math & St.Petersburg, INP)

Quantum Spectral Curve and Structure Constants in N = 4 SYM: Cusps in

the Ladder Limit

We give a pedagogical introduction to the Quantum Spectral Curve of N=4

SYM

and discuss its applications to correlation functions. We find a

massive

simplification in the non-perturbative expression for the structure

constant of Wilson lines with 3 cusps when expressed in terms of the

key

Quantum Spectral Curve quantities, namely Q-functions. Our calculation

is

done for the configuration of 3 cusps lying in the same plane with

arbitrary angles in the ladders limit. This provides strong evidence

that

the Quantum Spectral Curve is not only a highly efficient tool for

finding

the anomalous dimensions but also encodes correlation functions with

all

wrapping corrections taken into account to all orders in the `t Hooft

coupling. We also show how to study the insertions of scalars coupled

to

the Wilson lines and extend our result for the spectrum and the

structure

constant for these states. We discuss an OPE expansion of two cusps in

terms of these states. Our results give additional support to the

Separation of Variables strategy in solving the planar N = 4 SYM

theory.