A mixed mean-field/BCS phase with an energy gap at high T c Abstract We construct a pair potential which in a scaling limit leads to a Hamiltonian that generates co-existing mean-field and superconducting phases. Depending on the relative values of the coupling constants, the superconducting phase may exist at arbitrarily high temperatures. ⋆ Work supported in part by " Fonds zur Förderung der ...

A relativistic constituent quark model is adopted to give an unified description of the leptonic and semileptonic decays of pseudoscalar mesons (π, K, D, Ds, B, Bs). The calculated leptonic decay constants and form factors are found to be in good agreement with available experimental data and the results of other approaches. Eventually, the model is found to reproduce the scaling behaviours of ...

We introduce a momentum subtraction scheme which obeys the power counting of Kaplan, Savage, and Wise (KSW), developed for systems with large scattering lengths, a. Unlike the power divergence subtraction scheme, coupling constants in this scheme obey the KSW scaling for all μR > 1/a. We comment on the low-energy theorems derived by Cohen and Hansen. We conclude that there is no obstruction to ...

A stochastic model for a chemical reaction network is embedded in a one-parameter family of models with species numbers and rate constants scaled by powers of the parameter. A systematic approach is developed for determining appropriate choices of the exponents that can be applied to large complex networks. When the scaling implies subnetworks have different time-scales, the subnetworks can be ...

Sengupta [Phys. Rev. E 61, 1072 (2000)] presented an elegant and simple finite-size scaling method for the calculation of elastic constants and their corresponding correlation lengths, which is suitable for many finite discrete systems considered through simulations or experiments. We take into account a mathematical finite-size effect that was neglected by the authors in order to propose a mor...

The effects of an aperiodic order or a random disorder on phase transitions in statistical mechanics are discussed. A heuristic relevance criterion based on scaling arguments as well as specific results for Ising models with random disorder or certain kinds of aperiodic order are reviewed. In particular, this includes an exact real-space renormalization treatment of the Ising quantum chains wit...

An essential problem in music information retrieval is to determine the similarity between two given melodies; there are several melodic similarity measures that have been proposed, among others, the Mongeau-Sankoff measure. In this work we implemented a modified version of the Mongeau-Sankoff measure. We conducted an experimental study to compare the implemented measure with other similarity m...

It is well known that, when normalized by n, the expected length of a longest common subsequence of d sequences of length n over an alphabet of size σ converges to a constant γσ,d. We disprove a speculation by Steele regarding a possible relation between γ2,d and γ2,2. In order to do that we also obtain some new lower bounds for γσ,d, when both σ and d are small integers.

Foundations of Artiicial Intelligence presents a number of chapters from major players in artiicial intelligence (AI) that discuss fundamental assumptions underlying the dominant approaches to AI today. Perhaps the best parts of the book are the critiques: each chapter is followed by an in-depth critique that evaluates the utility of those assumptions in pursuing the goal of AI. But what is the...

Theories of fundamental physics as well as cosmology must ultimately not only account for the structure and evolution of the universe and the physics of fundamental interactions, but also lead to an understanding of why this particular universe follows the physics that it does. Such theories must ultimately lead to an understanding of the values of the fundamental constants themselves. However,...