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It was shown by Kijowski and Tulczjew that pure gravity with a cosmological constant can be obtained by a covariant Legendre transformation of a purely affine Lagrangian "in the manner of Eddington" constructed from a symmetric linear connection. In this paper I prove by explicit calculations...
All classical solutions of the Liouville theory for strings having finite stable minimum energies are calculated explicitly together with their minimal energies. Our treatment automatically includes the set of natural solitonlike singularities described by Jorjadze, Pogrebkov, and Polivanov....
Many grand unified theories (GUT's) predict non-Abelian monopoles which are sources of non-Abelian (and Abelian) magnetic flux. In the preceding paper, we discussed in detail the topological obstructions to the global implementation of the action of the "unbroken symmetry group" H on a classical...
Grand unified models are considered in relation to the cosmological constraint of vanishing domain walls, to solving the strong- CP problem and hypercolor unification. A semisimple theory of SU ( 9 ) 3 is found to be the best example.
We report the results of measurements of the cosmic background radiation temperature at wave-lengths of 9.1 and 3.3 mm. The 9.1-mm result, T CBR = 2.87 ± 0.21 K, is in good agreement with previous results and those obtained at longer wavelengths during the same experiment. The 3.3-mm result, T...
We show that the difficulties encountered by Kakudo, Taguchi, Tanaka, and Yamamoto in the canonical quantization of gauge fields in the temporal gauge stem only from insufficient care in their handling of eigenvectors belonging to continuous spectra.
It is pointed out that there is no way to define linear momentum and supercharge for a generic solution to 2 + 1 supergravity, whose asymptotic symmetries only include time translations and spatial rotations. A Hamiltonian expression for the energy and the angular momentum is also given.
The Coleman-Weinberg mechanism of symmetry breaking in a Bianchi type-I universe is investigated. The one-loop effective potential for a φ 4 theory and for scalar electrodynamics is calculated by the ζ -function method. The result indicates that the symmetry of the theory will be restored in...
Master fields are formulated for finite- N (3+1)-dimensional QCD. They satisfy classical Yang-Mills equations with an infinite number of internal indices and an infinite number of constraints. Master fields and constraints on them in the large- N limit ( N → ∞ with fixed g 2 N ) are derived...
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