In the aspon model solution of the strong CP problem, there is a gauged U(1) symmetry, spontaneously broken by the same vacuum expectation value which breaks CP , whose massive gauge boson provides an additional mechanism of weak CP violation. We calculate the CP asymmetries in B decays for the aspon model and show that they are typically smaller than those predicted from the standard model. A ...

The best quadratic approximation to the retarded polaron action due to Adamowski et al. and Saitoh is investigated numerically for a wide range of coupling constants. The non-linear variational equations are solved iteratively with an efficient method in order to obtain the ground state energy and the effective mass of the polaron. The virial theorem and expansions for small and large couplings...

The report presents the development of the time-boundary element methodology and a description of the related software based on a stepped method of numerical inversion of the integral Laplace transform in combination with a family of Runge-Kutta methods for analyzing 3-D mixed initial boundary-value problems of the dynamics of inhomogeneous elastic and poro-elastic bodies. The results of the nu...

We study and generalize in various ways the model of rational expectation (RE) bubbles introduced by Blanchard and Watson in the economic literature. Bubbles are argued to be the equivalent of Goldstone modes of the fundamental rational pricing equation, associated with the symmetry-breaking introduced by non-vanishing dividends. Generalizing bubbles in terms of multiplicative stochastic maps, ...

For an abelian variety A over a number field k we discuss the space of sections of its fundamental group extension π1(A/k). By analyzing the maximal divisible subgroup of the Weil–Châtelet group H(k,A) we show that the space of sections of π1(A/k) contains a copy of Ẑ[k:Q]·dim(A) and is never in bijection with A(k). This is essentially a result about the structure of H(k,T`(A)). 1. Galois secti...

We apply the work of Bourgain, Fremlin and Talagrand on compact subsets of the first Baire class to show new results about φ-types for φ NIP. In particular, we show that if M is a countable model, then an M -invariant φ-type is Borel definable. Also the space of M invariant φ-types is a Rosenthal compactum, which implies a number of topological tameness properties. Shelah introduced the indepen...

In this paper, we associate canonically to every imaginary quadratic field K = Q(√−D) one or two isogenous classes of CM (complex multiplication) abelian varieties over K, depending on whether D is odd or even (D 6= 4). These abelian varieties are characterized as of smallest dimension and smallest conductor, and such that the abelian varieties themselves descend to Q. When D is odd or divisibl...

Horn formulas are a subclass of CNF expressions, where every clause contains at most one unnegated variable. This class is tractable in the sense that many problems that are hard for CNF expressions in general are polynomially solvable for Horn formulas (such as satisfiability and equivalence). It is partly for this reason that Horn formulas are of basic importance in artificial intelligence an...

Consider the multivariate polynomial problem over the integers; that is, Gcd(A,B) where A,B ∈ Z[x1, x2, . . . xn]. We can solve this problem by solving the related Gcd problem in Zp[x1, x2, . . . xn] for several primes p, and then reconstructing the solution in the integers using Chinese Remaindering. The question we address in this paper is how fast can we solve the problem Gcd(A,B) in Zp[x1, ...

We derive predictions for the Nadir angle (θn) dependence of the ratio Nμ−/Nμ+ of the rates of the μ− and μ+ multi-GeV events, and for the μ−−μ+ event rate asymmetry, Aμ−μ+ = [N(μ −)−N(μ+)]/[N(μ−)+N(μ+)], in iron-magnetized calorimeter detectors (MINOS, INO, etc.) in the case of 3-neutrino oscillations of the atmospheric νμ and ν̄μ, driven by one neutrino mass squared difference, |∆m31| ∼ (2.0−3...