/ 94 05 01 1 v 1 1 6 M ay 1 99 4 Bifurcations of two coupled classical spin oscillators

ar X iv : h ep - p h / 94 05 25 5 v 1 9 M ay 1 99 4 6453 April , 1994 ( T / E ) Spin , Mass , and Symmetry

ep - t h / 94 05 09 1 v 1 1 3 M ay 1 99 4 OHSTPY - HEP - TH - 93 - 15 The Light - Cone Field Theory Paradigm for Spontaneous Symmetry Breaking 1

ar X iv : h ep - t h / 95 05 05 9 v 1 1 0 M ay 1 99 5 orthochronous The Conformal Spin and Statistics Theorem

ar X iv : h ep - t h / 94 05 08 7 v 1 1 3 M ay 1 99 4 Hirota equation as an example of integrable symplectic map ∗

The hamiltonian formalism is developed for the Sine-Gordon model on the space-time light-like lattice, first introduced by Hirota. The evolution operator is explicitely constructed in the quantum variant of the model, the integrability of corresponding classical finite-dimensional system is established.

94 05 03 4 v 1 1 5 M ay 1 99 4 Preprint : NZ - CAN - RE - 94 / 1 Inflationary Perturbations and Exponential Potentials Richard

We consider the spectrum of primordial fluctuations produced by inflationary models where the inflaton potential is the sum of two exponential terms. A wide range of spectra result, with the only constraint being that the scalar spectrum must have more tilt than the tensor spectrum. This model can mimic the spectra of most inflationary models, as well as producing combinations of scalar and ten...