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The aim of this paper is to describe how to use regularization and renormalization to construct a perturbative quantum field theory from a Lagrangian.
On the formulation of quantized field theories
H. Lehmann, K. Symanzik, and W. Zimmermann · 1955
Earlier work this paper cites.
On structure of the algebra of field operators
H.-J. Borchers · 1962
Earlier work this paper cites.
Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas IV
A. Grothendieck · 1967
Earlier work this paper cites.
Analytic continuation of generalized functions with respect to a parameter
I. N. Bernstein · 1972
Earlier work this paper cites.
PCT, spin and statistics, and all that
R. F. Streater and A. S. Wightman · 1978
Earlier work this paper cites.
Path-integral measure for gauge-invariant fermion theories
Kazuo Fujikawa · 1979
Cited alongside, same era.
Hopf algebras
Eiichi Abe · 1980
Cited alongside, same era.
Diagrammar
G. ’t Hooft and M. Veltman · 1994
Cited alongside, same era.
On the Hopf algebra structure of perturbative quantum field theories
Dirk Kreimer · 1998
Cited alongside, same era.
Note on dimensional regularization
Pavel Etingof · 1999
Later among the works it cites.
Local BRST cohomology in gauge theories
Glenn Barnich, Friedemann Brandt, and Marc Henneaux · 2000
Later among the works it cites.
Renormalization in quantum field theory and the Riemann-Hilbert problem. I. The Hopf algebra structure of graphs and the main theorem
Alain Connes and Dirk Kreimer · 2000
Later among the works it cites.
The analysis of linear partial differential operators. I
Lars Hormander · 2003
Later among the works it cites.
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