Beisert, N. Kazakov, V.A. Sakai, K.
Published in
Communications in Mathematical Physics

We construct the general algebraic curve of degree four solving the classical sigma model on ℝ×S5. Up to two loops it coincides with the algebraic curve for the dual sector of scalar operators in SYM, also constructed here.

Hitchin, Nigel
Published in
Communications in Mathematical Physics

Using the idea of a generalized Kähler structure, we construct bihermitian metrics on CP2 and CP1×CP1, and show that any such structure on a compact 4-manifold M defines one on the moduli space of anti-self-dual connections on a fixed principal bundle over M. We highlight the role of holomorphic Poisson structures in all these constructions.

Emsiz, E. Opdam, E.M. Stokman, J.V.
Published in
Communications in Mathematical Physics

In this paper we study root system generalizations of the quantum Bose-gas on the circle with pair-wise delta-function interactions. The underlying symmetry structures are shown to be governed by the associated graded algebra of Cherednik's (suitably filtered) degenerate double affine Hecke algebra, acting by Dunkl-type differential-reflection oper...

Glassey, Robert T.
Published in
Communications in Mathematical Physics

The Cauchy Problem for the relativistic Boltzmann equation is studied with small (i.e., near–vacuum) data. For an appropriate class of scattering cross sections, global ``mild'' solutions are obtained.

Chruściński, Dariusz
Published in
Open Systems & Information Dynamics

We propose a new formula for the adiabatic Berry phase which is based on phase-space formulation of quantum mechanics.This approach sheds a new light onto the correspon-dence between classical and quantum adiabatic phases – both phases are related with the av-eraging procedure:Hannay angle with averaging over the classical torus and Berry phase wit...

Friedlander, Susan Pavlović, Nataša Shvydkoy, Roman
Published in
Communications in Mathematical Physics

It is proved, using a bootstrap argument, that linear instability implies nonlinear instability for the incompressible Navier-Stokes equations in Lp for all p ∈ (1,∞) and any finite or infinite domain in any dimension n.

Lavenda, B. H.
Published in
Open Systems & Information Dynamics

Trigonometric and trigonometric-algebraic entropies are introduced and are given an axiomatic characterization. Regularity increases the entropy and the maximal entropy is shown to result when a regular n-gon is inscribed in a circle. A regular n-gon circumscribing a circle gives the largest entropy reduction, or the smallest change in entropy from...

Wu, Feng Chen, Lingen Sun, Fengrui Wu, Chih Guo, Fangzhong Li, Qing
Published in
Open Systems & Information Dynamics

The model of an irreversible Otto cycle using an ideal Fermi gas as the working fluid, which is called as the irreversible Fermi Otto cycle, is established in this paper. Based on the equation of state of an ideal Fermi gas, the ecological optimization performance of an irreversible Fermi Otto cycle is examined by taking an ecological optimization ...

Wang, Qiudong Young, Lai-Sang
Published in
Communications in Mathematical Physics

This paper attempts to make accessible a body of ideas surrounding the following result: Typical families of (possibly multi-model) 1-dimensional maps passing through ``Misiurewicz points'' have invariant densities for positive measure sets of parameters.

Banaszek, Konrad
Published in
Open Systems & Information Dynamics

The trade-off between the information gain and the state disturbance is derived for quantum operations on a single qubit prepared in a uniformly distributed pure state. The derivation is valid for a class of measures quantifying the state disturbance and the information gain which satisfy certain invariance conditions. This class includes in partic...