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The influence of macroscopic intermediate-range forces (such as the recently postulated ‘‘fifth force’’) on stellar structure is investigated through the use of the Lane-Emden equation. It emerges that their effects are similar in magnitude to general-relativistic effects. The Lane-Emden...
An effective generating function F(q, Q ) is introduced for any given pair of quantum-mechanical systems whose classical Hamiltonians are canonically equivalent. Using e iF as a kernel, an integral transform relates the wave functions of the corresponding quantum systems. The function F reduces...
The Mikheyev-Smirnov-Wolfenstein model of resonant solar-neutrino oscillations is discussed for three generations of leptons. Assuming adiabatic transitions, bounds for the μ - and e -neutrinos mass-squared difference Δ 21 , 0 are obtained as a function of the e - μ mixing angle theta 1 . The...
We evaluate the double-twisted, parity-violating, one-loop, six-point function with external gauge bosons in type-I superstring theory. Potential unitarity-violating branch points are shown to cancel to this order, thus preserving the particle interpretation of intermediate graviton poles.
The string-length-parameter ( α ) independence of the on-shell physical N -string amplitudes in the covariant string field theory presented by the authors is shown to all loop orders in perturbation theory and for N≤d=26 . The proof is based on the new invariance of the string action under the...
The transfer-matrix formalism for relating Hamiltonian quantum mechanics and Euclidean path integrals is discussed in the context of fermionic fields. Particular emphasis is placed on the extra fermionic species encountered with the naive discretization of time. When both particles and...
A theory of connections on a principal bundle with structure group SL(4, R ), the highest-dimensional simple subgroup of the Clifford algebra associated with a space-time of signature ( 1 , -1 , -1 , -1 ), is used to interpret Dirac’s equation geometrically. The proposed theory unifies...
The decay of false-vacuum states through a first-order phase transition in the presence of a Schwarzschild black hole is studied in the zero-temperature limit. The equations of motion for a thin-wall bubble which forms in a spherically symmetric fashion around a Schwarzschild – de Sitter (or...
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