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A new formalism for the perturbative construction of algebraic quantum field theory is developed.
Dirac, P.A.M., “Classical theory of radiating electrons,” Proc. Roy. Soc
1938
Earlier work this paper cites.
Stückelberg, E.C.G. and Rivier, D., “A propos des divergences en théorie des champs quantifiés,” Helv. Phys. Acta
1950
Earlier work this paper cites.
Stückelberg, E.C.G., Petermann, A., “La normalisation des constantes dans la théorie des quanta,” Helv. Phys. Acta
1953
Earlier work this paper cites.
Bogoliubov, N.N., Shirkov, D.V., Introduction to the Theory of Quantized Fields
1959
Earlier work this paper cites.
Gelfand, I.M., Schilow, G.E., Verallgemeinerte Funktionen (Distributionen)
1960
Earlier work this paper cites.
Güttinger, W., Rieckers, A., “Spectral representations of Lorentz invariant distributions and scale transformation,” Commun. Math. Phys
1968
Earlier work this paper cites.
Zimmermann, W., “The power counting theorem for Minkowski metric,” Commun. Math. Phys
1968
Earlier work this paper cites.
Zimmermann, W. “Convergence of Bogoliubov’s method of renormalization in momentum space,” Commun. Math. Phys
1969
Earlier work this paper cites.
Schroer, B., “Quantization of m 2 < 0 m^{2}<0 Field Equations," Phys. Rev. D
1971
Earlier work this paper cites.
Steinmann, O., “Perturbation Expansions in Axiomatic Field Theory,” Lecture Notes in Physics 11
1971
Earlier work this paper cites.
Epstein, H., Glaser, V., “The role of locality in perturbation theory,” Ann. Inst. H. Poincaré A
1973
Earlier work this paper cites.
Collins, J. C., “Scaling behavior of φ 4 \varphi^{4} theory and dimensional regularization,” Phys. Rev
1974
Earlier work this paper cites.
Benettin, G., Di Castro, C., Jona-Lasinio, G., Peliti, L., Stella, A. L., “On the equivalence of different renormalization groups,” in: New developments in quantum field theory and statistical mechanics : proceedings of Cargèse Summer School 1976, ed. M. Levy and P. Mitter, NATO Advanced Study Institute, Series B: Physics, v. 26, Plenum Press, 1977
1977
Earlier work this paper cites.
Hamilton, R. S., “The Inverse Function Theorem of Nash and Moser," Bullettin (New Series) of the American Mathematical Society, 7
1982
Earlier work this paper cites.
Polchinski, J., “ Renormalization and Effective Lagrangians,” Nucl. Phys
1984
Earlier work this paper cites.
Gallavotti, G., Nicolo, F., “Renormalization Theory in Four-Dimensional Scalar Fields (I),” Commun. Math. Phys
1985
Cited alongside, same era.
Hörmander, L., The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis
1990
Cited alongside, same era.
Freedman, D.Z., Johnson, K. and Latorre, J.I., “Differential regularization and renormalization: a new method of calculation in quantum field theory”, Nucl. Phys
1992
Cited alongside, same era.
Buchholz, D. and Verch, R., “Scaling algebras and renormalization group in algebraic quantum field theory,” Rev. Math. Phys
1995
Cited alongside, same era.
Bollini, C.G., Giambiagi, J.J., “Dimensional regularization in configuration space,” Phys. Rev. D
1996
Cited alongside, same era.
Dütsch, M., Fredenhagen, K., “Algebraic Quantum Field Theory, Perturbation Theory, and the Loop Expansion,” Commun. Math. Phys
2001
Later among the works it cites.
Dütsch, M., Fredenhagen, K., “Perturbative algebraic field theory, and deformation quantization,” Fields Institute Communications
2001
Later among the works it cites.
Hollands, S., Wald, R. M., “Local Wick Polynomials and Time-Ordered-Products of Quantum Fields in Curved Spacetime,” Commun. Math. Phys
2001
Later among the works it cites.
Buchholz, D., Ojima, I., Roos, H., “Thermodynamic properties of non-equilibrium states in quantum field theory,” Ann. Physics
2002
Later among the works it cites.
Hollands, S., Wald, R. M., “Existence of Local Covariant Time-Ordered-Products of Quantum Fields in Curved Spacetime,” Commun. Math. Phys
2002
Later among the works it cites.
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Brunetti, R., Fredenhagen, K., Köhler, M., “The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes,” Commun. Math. Phys
1996
Cited alongside, same era.
Radzikowski, M. J., “Micro-local approach to the Hadamard condition in quantum field theory on curved space-time,” Commun. Math. Phys
1996
Cited alongside, same era.
Keller, G., Kopper, C., Schophaus, C., “Perturbative renormalization with flow equations in Minkowski space,” Helv. Phys. Acta
1997
Cited alongside, same era.
Kreimer, D., “On the Hopf algebra structure of perturbative quantum field theories,” Adv. Theor. Math. Phys
1998
Cited alongside, same era.
Muta, T., Foundations of quantum chromodynamics
1998
Cited alongside, same era.
Salmhofer, M., Renormalization. An introduction
1999
Cited alongside, same era.
Brunetti, R., Fredenhagen, K., “Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds,” Commun. Math. Phys
2000
Cited alongside, same era.
Salmhofer, M., “Perturbative Renormalizability of ϕ 6 3 \phi^{3}_{6} by Renormalization Group Differential Equations,” Proceedings of the 2002 Hesselberg workshop “Theory of Renormalization and Regularization.”
2002
Later among the works it cites.
Brunetti, R., Fredenhagen, K., Verch, R.,“The generally covariant locality principle – A new paradigm for local quantum physics,” Commun. Math. Phys
2003
Later among the works it cites.
Gracia-Bondia, J.M., Lazzarini, S., “Improved Epstein-Glaser renormalization in coordinate space II. Lorentz invariant framework,” J. Math. Phys
2003
Later among the works it cites.
Hollands, S., Wald, R. M., “On the Renormalization Group in Curved Spacetime,” Commun. Math. Phys
2003
Later among the works it cites.
Dütsch, M., Fredenhagen, K., “Causal perturbation theory in terms of retarded products, and a proof of the Action Ward Identity,” Rev. Math. Phys
2004
Later among the works it cites.
Hollands, S., Wald, R. M., “Conservation of the stress tensor in interacting quantum field theory in curved spacetimes,” Rev. Math. Phys
2005
Later among the works it cites.
Dütsch, M., Fredenhagen, K., “Action Ward Identity and the Stückelberg-Petermann renormalization group,” in ’Rigorous Quantum Field Theory’, editors A. Boutet de Monvel, D. Buchholz, D. Iagolnitzer, U. Moschella, Birkhäuser Verlag (2006) 113-123
2006
Later among the works it cites.
Brennecke, F., Dütsch, M., “Removal of violations of the Master Ward Identity in perturbative QFT,” Rev. Math. Phys
2008
Later among the works it cites.
Hollands, S., “Renormalized Quantum Yang-Mills Fields in Curved Spacetime,” Rev. Math. Phys
2008
Later among the works it cites.