The nature of the gauge group of the free massless string and the relevance of gauge conditions for a consistent quantization scheme are carefully examined and clarified. To enable these models to confront experiment, a procedure for constructing the eigenvectors and determining the physical subspace was developed and applied to some low-lying states and trajectories. The classical solutions of the string in one spatial dimension are studied in detail. A string-type model with massive quarks is presented. The questions of spin and unitary symmetry were addressed by studying the spectrum of a model derived from the SLAC bag. The single compelling assumption present throughout these investigations is Poincare invariance. The requirement effectively specifies the form of gauge conditions, the nature of the quantization scheme, and the positive-definiteness of the physical subspace without necessity of restrictions on spacetime dimensions or other artifices of any kind.
- Pub Date:
- January 1977
- Physics: Elementary Particles and High Energy;
- Mathematical Models;
- Gauge Invariance;
- Poincare Problem;
- Nuclear and High-Energy Physics