ar X iv : c on d - m at / 0 10 60 67 5 Ju n 20 01

ar X iv : h ep - l at / 0 10 60 07 v 1 1 3 Ju n 20 01 Renormalization Constants using Quark States in Fixed Gauge LA - UR - 01 - 0355

We present a status report on our calculation of the renormalization constants for the quark bilinears in quenched O(a) improved Wilson theory at β = 6.4 using quark states in Landau gauge.

ar X iv : m at h / 06 06 67 1 v 1 [ m at h . A C ] 2 7 Ju n 20 06 PRÜFER ⋆ – MULTIPLICATION DOMAINS AND ⋆ – COHERENCE

ar X iv : h ep - l at / 0 30 60 33 v 1 2 5 Ju n 20 03 Fermions in 2 D Lorentzian Quantum Gravity

We implement Wilson fermions on 2D Lorentzian triangulation and determine the spectrum of the Dirac-Wilson operator. We compare it to the spectrum of the corresponding operator in the Euclidean background. We use fermionic particle to probe the fractal properties of Lorentzian gravity coupled to c = 1/2 and c = 4 matter. We numerically determine the scaling exponent of the mass gap M ∼ N −1/dH ...

ar X iv : m at h - ph / 0 30 60 62 v 1 2 5 Ju n 20 03 VECTOR COHERENT STATES WITH AN UNBOUNDED INVERSE FRAME OPERATOR

We present a class of vector coherent states in the domain D × D × .... × D (n-copies), where D is the complex unit disc, using a specific class of hermitian matrices. Further, as an example, we build vector coherent states in the unit disc by considering the unit disc as the homogeneous space of the group SU (1, 1).

ar X iv : c on d - m at / 0 10 11 04 9 Ja n 20 01 Classical and quantum magnetization reversal studied in nanometer - sized particles and clusters