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On a Generalization of the Lambda-Limiting Process and the Non-Uniqueness in the Removal of Divergence Difficulties in the Quantum Theory of Elementary Particles
Phys. Rev. 76, 298 – Published 15 July, 1949
DOI: https://doi.org/10.1103/PhysRev.76.298
Abstract
A generalized process of the -limiting type is established, leading to the elimination of the divergences in the integrals of both the classical and quantum field theories. As a result, however, the process is not unique, and by a suitable choice of the convergence factor the observable quantities, such as the proper mass, may be given any finite value. This indicates either that limiting processes are not capable of solving the basic difficulties in the theory of fundamental particles, or that the necessity for additional postulates of the nature of selection rules.
References (9)
- B. Wentzel, Zeits. f. Physik 86, 479, 635 (1933) ibid.87, 726 (1934)
- P. A. M. Dirac, Ann. de l'Inst. Poincaré 9, 13 (1939)
- W. Pauli, Rev. Mod. Phys. 15, 175 (1943)
- I. Waller, Zeits. f. Physik 62, 673 (1930)
- P. A. M. Dirac, Proc. Roy. Soc. A180, 1 (1942)
- W. Pauli, Rev. Mod. Phys. 13, 203 (1941)
- F. Bloch, Physik. Zeits. Sowjetunion 5, 301 (1934)
- M. Markov, J. Phys. 10, 333 (1946)
- V. Weisskopf, Zeits. f. Physik 89, 90 (1934) Phys. Rev. 56, 72 (1939)