Progress report for a research program in theoretical high-energy physics. [Brown University]
New results have been reached in: geometric structures of symmetry breaking and contracted symmetry groups; relevant differential forms and cohomology theory; continuum strong coupling methods by infrared extraction; fermions in quenched and non-quenched approximations in both Abelian and non-Abelian infrared models; methods of approximating ordered exponentials in opposite strong-coupling limits; field theoretical methods for fluid dynamics; dynamical SUSY breaking; non-Abelian monopoles in Kaluza-Klein theories; dual, non-linear sigma models in supergravity; global SUSY; skyrmions; new approaches to lattice gravity; grand unification models involving the invisible axion and cosmological constraints; naturalness criteria and color anomalies; multiple fermion generations without domain walls as criteria for uniqueness of allowable GUT models; the mass hierarchy problem; axion implications for cosmology; anomalies and anomly-free representations of gauge theories; a field theoretic explanation of the quantum Hall effect, localization, and two-dimensional electron gases; chirally invariant lattice gauge theories, and the unacceptability of the SLAC model; axial anomalies in compact manifolds with boundary conditions; simulation of Weyl fermion theories; the correct criteria for exponential decay of correlation functions in quantum lattice theories; a formulation of a quantum lattice theory of gravitation; phase transitions in a variety of lattice gauge theories using an improved Migdal-Kadanoff RG procedure; polarized photon structure functions; Monte Carlo estimates of hadronic masses and numerical studies of Gribov gauge ambituities; Hamiltonian quantization of an SL(2,C) gauge theory; variational approach to lattice ground states; and planar and non-planar lattice QCD surfaces in the large-N limit.
- Research Organization:
- Brown Univ., Providence, RI (USA). Dept. of Physics
- DOE Contract Number:
- AC02-76ER03130
- OSTI ID:
- 6650190
- Report Number(s):
- DOE/ER/03130-366; COO-313-TA-366; ON: DE84013717
- Country of Publication:
- United States
- Language:
- English
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