(Basic research in theoretical high energy physics. ) Progress report, April 30, 1984-April 30, 1985
Progress is reported on non-perturbative problems in quantum field theories, including a field-theoretic issue regarding the relationship between operators on the lattice and in the continuum. The phase diagram of SU(3) lattice gauge theories with light fermions was investigated as a function of the gauge coupling and the fermion mass. A formulation of higher derivative gravity on a simplicial lattice was developed. Analytical and numerical work was carried out in two- and four-dimensional lattice gravity to study the phase diagram of the theory, the existence of nontrivial fixed points, and the question of the renormalization of the cosmological constant. A study was conducted on hadronic decay amplitudes in lattice gauge theory. Other studies conducted include: a covariant functional Schroedinger formalism for quantum field theory in curved space-time, constraints on magnetic mass, anomalies in reparameterization invariance in Type I superstrings, the Wess-Zumino action as an effective description of the anomalies of a theory, quantum fluctuations that can produce small regions of chirally symmetric phase in QCD, and supersymmetry anomalies. Also, the electric charge of a nonabelian magnetic monopole in the presence of fermions was related to a nonabelian generalization of the eta-invariant and computed exactly using Gauss' law. The mathematical connections between chiral anomalies, Levinson's theorem and symmetry breaking have been studied. The physics of fermion number fractionization was reviewed and a general topological theory was developed. The effect of instantons in the field theoretic description of the integral quantum Hall effect was studied. Some aspects of the anomaly cancellation of SO(32) superstring theory after compactification were examined. Also studied were dynamical supersymmetry brreaking and properties of quasi-crystals. 70 refs. (LEW)
- Research Organization:
- Institute for Advanced Study, Princeton, NJ (USA)
- DOE Contract Number:
- AC02-76ER02220
- OSTI ID:
- 5088399
- Report Number(s):
- DOE/ER/02220-14; ON: DE86001840
- Resource Relation:
- Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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