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The spin-1/2 Green's function in an Einstein universe is computed explicitly and used to evaluate the vacuum-averaged stress-energy tensor. In the massless limit we find Ford's value 〈 T 00 〉 = 17 ( 1920 π 2 a 4 ) - 1 .
Hawking has suggested that a particular Taub-NUT (Newman-Unti-Tamburino) metric might give rise to the gravitational analog of the Yang-Mills pseudoparticle. We extend Hawking's treatment by using the Atiyah-Patodi-Singer index theorem for manifolds with boundaries and conclude that the Taub-NUT...
The description of massive spin-3 fields by the Lagrangian formulation based on the symmetric tensor field of rank 3 requires auxiliary fields in order to derive all of the subsidiary conditions. We construct the Lagrangian formulation of the symmetric theory of massive spin-3 fields by...
The perturbation-theory mechanism for the exponentiation of all infrared divergences in the bare skeleton expansion of the color-singlet fermion form factor is exhibited. It is observed that infrared exponentiation is also a property of many infinite subsums of the full bare skeleton expansion....
We exhibit a complex, self-dual gauge field configuration in Minkowski space-time, with the property that its real part satisfies the Yang-Mills equations of motion.
We study the model which results from quantum electrodynamics if all photons are replaced by their longitudinal parts - i λ k μ k ν ( k 2 ) 2 . The model is formulated in terms of a Lagrangian which features the higher-order or "grandfather" potential S which becomes a local field after...
A gauge-invariant expression is given for the angular momentum of a scalar, isospinor doublet in the field of a magnetic monopole.
It is pointed out that a certain class of nonrenormalizable theories can be made renormalizable if a theory possesses an ultraviolet-stable fixed point. As an example, four-fermion theories of the Nambu-Jona-Lasinio-type are considered.
The formulation of the theory of the Dirac monopole first introduced by Cabibbo and Ferrari is extended in a manner analogous to the Mandelstam theory of electrodynamics.
A new variational principle is presented which provides a lower bound to the eigenvalues of a general quantum Hamiltonian. Applications are made to ground and excited states in Schrödinger theory. The variational principle leads naturally to localized (classical-like) states that nevertheless...
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