Mathematics
Scientific paper
Apr 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983sci...220..491w&link_type=abstract
Science (ISSN 0036-8075), vol. 220, April 1983, p. 491-493.
Mathematics
1
Cosmology, Gravitation Theory, Particle Theory, Quantum Theory, Supergravity, Supersymmetry, Unified Field Theory, Bosons, Charged Particles, Fermions, Mathematical Models
Scientific paper
It is noted that the supersymmetry principle of relations among such subatomic particle classes as bosons and fermions eliminates the arbitrary proliferation of particles. A given supersymmetric field theory may call for a very large number of particles (some versions have hundreds), but this always remains a finite number. The particles must, in addition, fall into precisely defined groups. Supersymmetry also appears to ameliorate the infinities that have plagued quantum field theory since it was conceived in the 1930s. A divergent integral describing the quantum fluctuations of each fermion field must be added to a similar contribution from its bosonic partner, but it is added with the opposite sign. In some supersymmetric field theories, the infinities cancel out perfectly and yield answers that are completely finite. Supersymmetry, finally, holds out the hope of a true quantum theory of gravity, permitting the union of the geometric picture of the forces used in general relativity with the particle picture used in field theory, so that supergravity can be expressed in terms of geometry in superspace.
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