Supersymmetric quantum mechanics for string bits
- Institute for Fundamental Theory, Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)
We develop possible versions of supersymmetric single-particle quantum mechanics, with application to superstring-bit models in view. We focus principally on space dimensions d=1,2,4,8, the transverse dimensionalities of superstring in 3, 4, 6, and 10 space-time dimensions. These are the cases for which {open_quotes}classical{close_quotes} superstring makes sense, and also the values of d for which Hooke{close_quote}s force law is compatible with the simplest superparticle dynamics. The basic question we address is the following: When is it possible to replace such harmonic force laws with more general ones, including forces which vanish at large distances? This is an important question because forces between string bits that do not fall off with distance will almost certainly destroy cluster decomposition. We show that the answer is affirmative for d=1,2, negative for d=8, and so far inconclusive for d=4. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 545072
- Journal Information:
- Physical Review, D, Vol. 56, Issue 10; Other Information: PBD: Nov 1997
- Country of Publication:
- United States
- Language:
- English
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