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39 papers · 1 filter
Splitting the Curvature of the Determinant Line Bundle
Simon Scott
It is shown that the determinant line bundle associated to a family of Dirac operators over a closed partitioned manifold has a canonical Hermitian metric with compatible connectio…
On Harmonic Superspace
P. S. Howe
A short survey of some aspects of harmonic superspace is given. In particular, the scalar supermultiplet and the tensor multiplet are described as analyti…
Exact two-particle Matrix Elements in S-Matrix Preserving Deformation of Integrable QFTs
M. Pillin
In a recent paper it was shown that the response of an integrable QFT under variation of the Unruh temperature can be computed from a S-matrix preserving deformation of the form fa…
Entropy production, dynamical localization and criteria for quantum chaos in the open quantum kicked rotor
Paul A. Miller, Sarben Sarkar
The von Neumann entropy production for a quantum mechanical kicked rotor coupled to a thermal environment is calculated. This rate of entropy increase is shown to be a good criteri…
Abelian-Higgs-Navier-Stokes Hydrodynamics for Nematic Films with Defects
G. Kurz, S. Sarkar
A new theory of hydrodynamics of uniaxial nematic liquid crystal films in the presence of defects is developed. A gauge field incorporating screening is introduced, resulting in th…
On-Line Learning with Restricted Training Sets: An Exactly Solvable Case
H. C. Rae, P. Sollich, A. C. C. Coolen
We solve the dynamics of on-line Hebbian learning in large perceptrons exactly, for the regime where the size of the training set scales linearly with the number of inputs. We cons…