06 v 1 2 9 N ov 1 99 5 How to measure spatial distances ?

ar X iv : h ep - t h / 99 11 20 9 v 1 2 5 N ov 1 99 9 Monopole Solutions in AdS Space

We find monopole solutions for a spontaneously broken SU (2)-Higgs system coupled to gravity in asymptotically anti-de Siter space. We present new analytic and numerical results discussing, in particular, how the gravitational instability of self-gravitating monopoles depends on the value of the cosmological constant.

ua nt - p h / 99 09 06 3 v 2 8 N ov 1 99 9 Smooth adiabatic evolutions with leaky power tails

Adiabatic evolutions with a gap condition have, under a range of circumstances, exponentially small tails that describe the leaking out of the spectral subspace. Adiabatic evolutions without a gap condition do not seem to have this feature in general. This is a known fact for eigenvalue crossing. We show that this is also the case for eigenvalues at the threshold of the continuous spectrum by c...

1 v 1 1 8 N ov 1 99 9 UCCHEP - 06 / 99 November 1999 Thermal Renormalons in Scalar Field Theory

In the frame of the scalar theory λφ 4 , we explore the occurrence of thermal renormalons, i. e. temperature dependent singularities in the Borel plane. Using Thermofield Dynamics, we found in fact a series of singularities of this kind, which are located to the right of the well known zero temperature pole, being therefore of a subleading character in the ambiguity of the Borel sum.

ar X iv : m at h / 99 11 10 9 v 1 [ m at h . R A ] 1 5 N ov 1 99 9 – 1 – BIRKHOFF ’ S THEOREM FOR PANSTOCHASTIC MATRICES

The panstochastic analogue of Birkhoff's Theorem on doubly-stochastic matrices is proved in the case n = 5. It is shown that this analogue fails when n > 1, n = 5.

/ 99 09 12 3 v 2 1 8 N ov 1 99 9 Correct Treatment of 1 ( η · k ) p Singularities in the Axial