Gregory Korchemsky

Research interests

My research focuses on nonperturbative and integrable structures in quantum field theory, with applications to QCD, supersymmetric gauge theories, AdS/CFT, scattering amplitudes, Wilson loops, energy correlators, and exactly solvable models:

• Quantum chromodynamics: infrared dynamics, factorization, parton distributions, high-energy scattering, Regge asymptotics, event shapes, and power corrections
• Wilson loops and cusp anomalous dimension: relation to infrared divergences and large-spin operators, and perturbative calculations in QCD and supersymmetric gauge theories
• Integrability in gauge and string theories: integrable spin chains, Baxter equation, the spectral problem and correlation functions in planar $\mathcal N=4$ super-Yang–Mills theory, and applications to high-energy QCD
• Scattering amplitudes and correlation functions: conformal and dual-conformal symmetry, amplitude/Wilson-loop/correlator dualities, and light-cone limits of correlation functions
• Collider and light-ray observables: energy-energy correlations, generalized event shapes, infrared-safe observables, and their extension from gauge theories to four-dimensional gravity
• Exactly solvable supersymmetric gauge theories: localization, matrix models, Fredholm determinants, Bessel kernels, Tracy–Widom distributions, strong-coupling expansions, resurgence, and nonperturbative transseries