nLab D=2 QCD



Algebraic Qunantum Field Theory

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)



field theory:

Lagrangian field theory


quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization



States and observables

Operator algebra

Local QFT

Perturbative QFT



quantum chromodynamics in 2 spacetime dimensions

First considered in ‘t Hooft 74, whence also called the ‘t Hooft model.



The original account is:

See also:

In Ads/CFT

In view of AdS/CFT duality and holographic entanglement entropy:

  • William Donnelly, Sydney Timmerman, Nicolás Valdés-Meller, Entanglement entropy and the large NN expansion of two-dimensional Yang-Mills theory (arxiv:1911.09302)

On intersecting D-branes

Specifically geometric engineering of 2d QCD in intersecting D-brane models (AdS/QCD):


top-down model building

construction of 2d QCD analogous to the Witten-Sakai-Sugimoto model for 4d QCD

  • Yi-hong Gao, Weishui Xu, Ding-fang Zeng, NGN, QCD 2QCD_2 and chiral phase transition from string theory, Nucl.Phys. B400:181-210, 1993 (arXiv:hep-th/0605138)

Specifically concerning the 3d Chern-Simons theory on the D8-branes:

  • Ho-Ung Yee, Ismail Zahed, Holographic two dimensional QCD and Chern-Simons term, JHEP 1107:033, 2011 (arXiv:1103.6286)

and its relation to baryons:

  • Hideo Suganuma, Yuya Nakagawa, Kohei Matsumoto, 1+1 Large N cN_c QCD and its Holographic Dual \sim Soliton Picture of Baryons in Single-Flavor World, JPS Conf. Proc. 13, 020013 (2017) (arXiv:1610.02074)


bottom up model building

in terms of worldline formalism:

  • Adi Armoni, Oded Mintakevich, Comments on Mesonic Correlators in the Worldline Formalism, Nuclear Physics B, Volume 852, Issue 1, 1 November 2011, Pages 61-70 (arxiv:1102.5318)

As a string theory

On D=2 Yang-Mills theory as the effective field theory of a string theory:

Last revised on December 20, 2023 at 08:20:01. See the history of this page for a list of all contributions to it.