nLab
D=2 QCD

Contents

Context

Algebraic Qunantum Field Theory

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

Introduction

Concepts

field theory:

Lagrangian field theory

quantization

quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization

renormalization

Theorems

States and observables

Operator algebra

Local QFT

Perturbative QFT

Contents

Idea

quantum chromodynamics in 2 spacetime dimensions

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

References

General

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

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

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)

Last revised on November 22, 2019 at 02:04:05. See the history of this page for a list of all contributions to it.