nLab Alexander A. Migdal

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Selected writings

Introducing discussion of D=2 Yang-Mills theory:

• Alexander A. Migdal, Recursion equations in gauge field theories, Zh. Eksp. Teor. Fiz. 69 (1975) 810–822 (Sov. Phys. JETP 42, 413–418) [pdf, pdf spire:100330]

On the Schwinger-Dyson equation for expectation values of Wilson loop quantum observables in the context of Yang–Mills theory in the large N limit, now known as the Makeenko-Migdal equation:

• Yuri M. Makeenko, Alexander A. Migdal: Exact equation for the loop average in multicolor QCD, Physics Letters B 88 1–2 (1979) 135–137 [doi:10.1016/0370-2693(79)90131-X]

Early discussion of flux tubes/Wilson lines as effective strings in Yang-Mills theory (Gauge/String duality):

• Yuri Makeenko, Alexander A. Migdal, Quantum chromodynamics as dynamics of loops, Nuclear Physics B 188 2 (1981) 269-316 [doi:10.1016/0550-3213(81)90258-3]

  “So the world sheet of string should be interpreted as the color magnetic dipole sheet. The string itself should be interpreted as the electric flux tube in the monopole plasma.”

On the large-N limit of QCD:

• Alexander A. Migdal, Loop equations and $1/N$ expansion, Physics Reports 102 4 (1983) 199-290 [doi:10.1016/0370-1573(83)90076-5]

• Alexander Migdal: Geometric QCD I: The Hodge-Dual Surface and Quark Confinement [arXiv:2511.13688]

• Alexander Migdal: Geometric QCD II: The Confining Twistor String and Meson Spectrum [arXiv:2602.21129]

• Alexander Migdal: Geometric QCD III: Exact transition amplitudes and the glueball spectrum [arXiv:2605.02373^rbrack;

On hydrodynamics and quantum chromodynamics formulated on free loop space:

• Alexander Migdal: Geometric Solution of Turbulence as Diffusion in Loop Space [arXiv:2511.02165]

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