nLab canonical quantization of gauge theories -- references

Canonical quantization of gauge theories

On canonical quantization of gauge theories with Gauss law constraint (predominantly of Yang-Mills theory/QCD and Maxwell theory/QED – for the quantization of Chern-Simons theory see also there):

• P. Hasenfratz, P. Hraskó: Canonical quantization of gauge theories, Phys. Rev. D 13 (1976) 2235 [doi:10.1103/PhysRevD.13.2235, pdf]

• Taichiro Kugo, Izumi Ojima, Manifestly Covariant Canonical Formulation of the Yang-Mills Field Theories. I: General Formalism, Progress of Theoretical Physics 60 6 (1978) 1869–1889 [doi:10.1143/PTP.60.1869]

• John L. Friedman, Nicholas J. Papastamatiou, On the canonical quantization of Yang-Mills theories, Nuclear Physics B 219 1 (1983) 125-142 [doi:10.1016/0550-3213(83)90431-5]

• A. Bassetto, I. Lazzizzera, R. Soldati, Yang-Mills theories in space-like axial and planar gauges, Nuclear Physics B 236 2 (1984) 319-335 [doi:10.1016/0550-3213(84)90538-8]

• D. M. Gitman, S. L. Lyakhovich & I. V. Tyutin, Canonical quantization of the Yang-Mills Lagrangian with higher derivatives, Soviet Physics Journal 28 (1985) 554–556 [doi:10.1007/BF00896182]

• Kurt Haller: Yang-Mills theory and quantum chromodynamics in the temporal gauge, Phys. Rev. D 36 (1987) 1839 [doi:10.1103/PhysRevD.36.1839]

• Marc Henneaux, Claudio Teitelboim; §19.1.1 in: Quantization of Gauge Systems, Princeton University Press (1992) [doi:10.2307/j.ctv10crg0r]

• P. E. Haagensen, On The Exact Implementation Of Gauss’ Law In Yang-Mills Theory [arXiv:hep-ph/9307319]

• Sarada G. Rajeev, O. T. Turgut, Poisson Algebra of Wilson Loops in Four-Dimensional Yang-Mills Theory, Int. J. Mod. Phys. A 10 (1995) 2479 [doi:10.1142/S0217751X95001194, arXiv:hep-th/9410053]

  (in light-front formalism)

• Jonathan Dimock: Canonical Quantization of Yang-Mills on a circle, Reviews in Mathematical Physics 08 01 (1996) 85-102 [doi:10.1142/S0129055X96000044]

• Alejandro Corichi, Introduction to the Fock Quantization of the Maxwell Field, Rev. Mex. Fis. 44 4 (1998) 402-412 [arXiv:physics/9804018]

• F. Lenz, K. Ohta, K. Yazaki: Canonical quantization of gauge fields in static space-times with applications to Rindler spaces, Phys. Rev. D 78 (2008) 065026 [doi:10.1103/PhysRevD.78.065026, arXiv:0803.2001]

• Daniel N. Blaschke, François Gieres, On the canonical formulation of gauge field theories and Poincaré transformations, Nuclear Physics B 965 (2021) 115366 [doi:10.1016/j.nuclphysb.2021.115366, arXiv:2004.14406]

• Aldo Riello, Symplectic reduction of Yang-Mills theory with boundaries: from superselection sectors to edge modes, and back, SciPost Phys. 10 125 (2021) [doi:10.21468/SciPostPhys.10.6.125]