Results 1 to 10 of about 934,461 (135)
q-Boson in Quantum Integrable Systems [PDF]
q-bosonic realization of the underlying Yang-Baxter algebra is identified for a series of quantum integrable systems, including some new models like two-mode q-bosonic model leading to a coupled two-component derivative NLS model, wide range of q ...
Kundu, Anjan
core +4 more sources
Introduction: GDH and related topics [PDF]
The formulation of the Gerasimov-Drell-Hearn sum rule is revisited, showing its connection with other sum rules occurring in electron scattering and discussing the problem of its saturation, both from the theoretical and experimental point of v iew.
Giannini, M. M.
core +3 more sources
Freeness of hyperplane arrangements and related topics [PDF]
This is the expanded notes of the lecture by the author in "Arrangements in Pyrenees", June 2012. We are discussing relations of freeness and splitting problems of vector bundles, several techniques proving freeness of hyperplane arrangements, K. Saito's
Yoshinaga, Masahiko
core +2 more sources
Exact chiral symmetry, topological charge and related topics [PDF]
It has been shown recently that Dirac operators satisfying the Ginsparg-Wilson relation provide a solution of the chirality problem in QCD at finite lattice spacing. We discuss different ways to construct these operators and their properties.
Atiyah +33 more
core +2 more sources
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian [PDF]
We introduce the so-called Clifford-Hermite polynomials in the framework of Dunkl operators, based on the theory of Clifford analysis. Several properties of these polynomials are obtained, such as a Rodrigues formula, a differential equation and an ...
De Bie, Hendrik
core +8 more sources
R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain [PDF]
The problem of constructing the $SL(N,\mathbb{C})$ invariant solutions to the Yang-Baxter equation is considered. The solutions ($\mathcal{R}$-operators) for arbitrarily principal series representations of $SL(N,\mathbb{C})$ are obtained in an explicit ...
Derkachov, Sergey E. +1 more
core +3 more sources
Two effects relevant for the study of astrophysical reaction rates: gamma transitions in capture reactions and Coulomb suppression of the stellar enhancement [PDF]
Nucleosynthesis processes involve reactions on several thousand nuclei, both close to and far off stability. The preparation of reaction rates to be used in astrophysical investigations requires experimental and theoretical input.
Andreas Zilges +4 more
core +2 more sources
Low Mass Scalar Mesons and Related Topics
We give a brief survey on the physical significance of the low-mass scalar mesons in QCD, and also report on recent lattice studies on the sigma and kappa mesons.
Kunihiro, Teiji
core +1 more source
de Sitter tachyons and related topics
We present a complete study of a family of tachyonic scalar fields living on the de Sitter universe. We show that for an infinite set of discrete values of the negative squared mass the fields exhibit a gauge symmetry and there exists for them a fully ...
Epstein, Henri, Moschella, Ugo
core +1 more source
Some Recent Developments on Kink Collisions and Related Topics
We review recent works on modeling of dynamics of kinks in 1+1 dimensional $\phi^4$ theory and other related models, like sine-Gordon model or $\phi^6$ theory.
A Halavanau +43 more
core +1 more source

