Is it Possible to do Canonical Quantum Field Theory Rigorously?
The origins of this work lie in the mystical belief that quantum electrodynamics (QED), as developed by Tomonaga-Schwinger -Feynman-Dyson and others, cannot possibly be a “wrong” theory, despite its mathematical contradictions. More precisely, a theory which agrees so well with experiment cannot be fundamentally unsound. Its formalism requires not a massive change but rather a large-scale reinterpretation. Nature has been sending us a signal which we have not yet been able to interpret. Assuming this, the present work is an attempt to decipher this signal.
KeywordsBase Space Free Field Interaction Picture Vertical Derivation Horizontal Derivation
Unable to display preview. Download preview PDF.
- 1.J. M. Jauch and F. Rohrlich, “The Theory of Photons and Electrons,” Addison-Wesley, Cambridge, Mass. (1955).Google Scholar
- 2.S. S. Schweber, “An Introduction to Relativistic Quantum Field Theory,” Harper and Row, New York (1961).Google Scholar
- 3.A.S. Wightman, “Introduction to Some Aspects of the Relativistic Dynamics of Quantized Fields,” Cargèse Lectures (1964).Google Scholar
- 4.R. Haag, “On Quantum Field Theories,” Det Kgl. Danske Vidensk. Selsk. Mat.-fys. Medd. 29: No. 12 (1955).Google Scholar
- 6.K. Baumann, On Relativistic Irreducible Quantum Fields Fulfilling CCr, in: “IXth International Congress on Mathematical Physics, ” B. Simon, A. Truman and I.M. Davies, eds., Adam Hilger, Bristol (1989), and references cited therein.Google Scholar
- 8.R.N. Sen, The Galilei Group and Landau Excitations, in: “Statistical Mechanics and Field Theory”, R.N. Sen and C. Weil, eds., Israel Universities Press, Jerusalem (1972).Google Scholar
- 9.E. Inönü and E.P. Wigner, “Representations of the Galilei Group,” Nuovo Cimento, IX: 705 (1952).Google Scholar
- 10.R.N. Sen, “Nonrelativistic Zero-Mass Systems”, Göttingen lectures, 1973–74 (unpublished).Google Scholar