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physics, mathematical physics, philosophy of physics
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Types of quantum field thories
algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
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interacting field quantization
Quantum chromodynamics (“QCD”) is the quantum field theory of Yang-Mills theory: it describes the quantum theory of gluons and quarks.
The corresponding effective field theory that describes bound states such as protons is quantum hadrodynamics.
See at confinement.
See at asymptotic freedom.
QCD has an intricate phase diagram (e.g. Hands 01, Schaefer 05) including
Introductions include
Peter Skands, Introduction to QCD (arXiv:1207.2389)
Y. Kurihara, QCD at LHC for beginners Lesson 1 (pdf), Lesson 2 (pdf) Lesson 3 (pdf)
Particle Data Group, Quantum Chromodynamics (pdf)
Textbook account with phenomenological emphasis:
Rigorous construction as a perturbative quantum field theory via causal perturbation theory is discussed in
Discussion of on-shell methods in QCD perturbation theory includes
See also
On the phase diagram of QCD
Edward Shuryak, The Phases of QCD (arXiv:hep-ph/9609249)
Simon Hands, The Phase Diagram of QCD, Contemp. Phys. 42:209-225, 2001 (arXiv:physics/0105022)
Thomas Schaefer, Phases of QCD (arXiv:hep-ph/0509068)
Due to confinement, the fundamental degrees of freedom in terms of which QCD is formulated, namely the quarks, are actually not the low-energy bound states of the theory, which instead are the hadrons. This leaves room to speculate that QCD is not really the fundamental theory of the strong nuclear force.
However, brute-force computation in lattice QCD shows that the quark-model does reproduce these hadron bound states somehow (even if the real understanding of how it does so remains open, this is the mass gap problem):
S. Durr, Z. Fodor, J. Frison, C. Hoelbling, R. Hoffmann, S.D. Katz, S. Krieg, T. Kurth, L. Lellouch, T. Lippert, K.K. Szabo, G. Vulvert,
Ab-initio Determination of Light Hadron Masses,
Science 322:1224-1227,2008 (arXiv:0906.3599)
conclusion on p. 4:
our study strongly suggests that QCD is the theory of the strong interaction, at low energies as well
Zoltan Fodor, Christian Hoelbling, Light Hadron Masses from Lattice QCD, Rev. Mod. Phys. 84, 449, (arXiv:1203.4789)
S. Aoki et. al. Review of lattice results concerning low-energy particle physics (arXiv:1607.00299)
Last revised on July 9, 2019 at 09:07:41. See the history of this page for a list of all contributions to it.