Research program in theoretical high-energy physics

Physics – Fluid Dynamics

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Elementary Particles, Field Theory (Physics), High Energy Interactions, Phase Transformations, Quantum Chromodynamics, Theoretical Physics, Boundary Conditions, Boundary Value Problems, Broken Symmetry, Cosmology, Fluid Dynamics, Gauge Theory, Hall Effect, Homology, Monte Carlo Method

Scientific paper

Results were reached in: geometric structures of symmetry breaking relevant differential forms and cohomology theory; continuum strong coupling methods; fermions in quenched and non-quenched approximations field theory theoretical methods for fluid dynamics; dynamical SUSY breaking; non-Abelian monopoles in Kaluza-Klein theories; dual, non-linear sigma models in supergravity; skyrmions; grand unification models; naturalness criteria and color anomalies; multiple fermion generations; 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; quantum lattice theories; phase transitions in a variety of lattice gauge theories; 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 lattice QCD surfaces in the large-N limit.

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