×

Conservation of isotopic spin and isotopic gauge invariance. (English) Zbl 1378.81075

Summary: It is pointed out that the usual principle of invariance under isotopic spin rotation is not consistant with the concept of localized fields. The possibility is explored of having invariance under local isotopic spin rotations. This leads to formulating a principle of isotopic gauge invariance and the existence of a b field which has the same relation to the isotopic spin that the electromagnetic field has to the electric charge. The b field satisfies nonlinear differential equations. The quanta of the b field are particles with spin unity, isotopic spin unity, and electric charge \(\pm e\) or zero.

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] W. Heisenberg, Z. Physik 77 pp 1– (1932) · JFM 58.0940.01 · doi:10.1007/BF01342433
[2] Breit, Phys. Rev. 50 pp 825– (1936) · Zbl 0015.13402 · doi:10.1103/PhysRev.50.825
[3] J. Schwinger, Phys. Rev. 78 pp 135– (1950) · Zbl 0036.27705 · doi:10.1103/PhysRev.78.135
[4] E. Wigner, Phys. Rev. 51 pp 106– (1937) · Zbl 0015.38003 · doi:10.1103/PhysRev.51.106
[5] B. Cassen, Phys. Rev. 50 pp 846– (1936) · Zbl 0015.13304 · doi:10.1103/PhysRev.50.846
[6] T. Lauritsen, Ann. Rev. Nuclear Sci. 1 pp 67– (1952) · doi:10.1146/annurev.ns.01.120152.000435
[7] D. R. Inglis, Revs. Modern Phys. 25 pp 390– (1953) · doi:10.1103/RevModPhys.25.390
[8] R. H. Hildebrand, Phys. Rev. 89 pp 1090– (1953) · doi:10.1103/PhysRev.89.1090
[9] W. Pauli, Revs. Modern Phys. 13 pp 203– (1941) · Zbl 0028.38003 · doi:10.1103/RevModPhys.13.203
[10] W. Heisenberg, Z. Physik 56 pp 1– (1929) · doi:10.1007/BF01340129
[11] M. Gell-Mann, Phys. Rev. 92 pp 833– (1953) · doi:10.1103/PhysRev.92.833
[12] F. J. Dyson, Phys. Rev. 75 pp 486– (1949) · Zbl 0032.23702 · doi:10.1103/PhysRev.75.486
[13] J. Schwinger, Phys. Rev. 76 pp 790– (1949) · Zbl 0035.13201 · doi:10.1103/PhysRev.76.790
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.