Broken quantum symmetry and confinement phases in planar physics.
نویسندگان
چکیده
Many two-dimensional physical systems have symmetries which are mathematically described by quantum groups (quasitriangular Hopf algebras). In this Letter we introduce the concept of a spontaneously broken Hopf symmetry and show that it provides an effective tool for analyzing a wide variety of phases exhibiting many distinct confinement phenomena.
منابع مشابه
On methods for extracting exact non-perturbative results in non-supersymmetric gauge theories
At large N , a field theory and its orbifolds (given by projecting out some of its fields) share the same planar graphs. If the parent-orbifold relation continues even nonperturbatively, then properties such as confinement and chiral symmetry breaking will appear in both parent and orbifold. N = 1 supersymmetric Yang-Mills has many nonsupersymmetric orbifolds which resemble QCD. A nonperturbati...
متن کاملSteric self-assembly of laterally confined organic semiconductor molecule analogues.
Self-assembly of planar molecules can be a critical route to control morphology in organic optoelectronic systems. In this study, Monte Carlo simulations were performed with polygonal disc analogues to planar semiconducting molecules under confinement. By examining statistically the molecular density and configurations of such analogues, we have observed that the symmetry of the confining mediu...
متن کاملEffects of on-center impurity on energy levels of low-lying states in concentric double quantum rings
In this paper, the electronic eigenstates and energy spectra of single and two-interacting electrons confined in a concentric double quantum rings with a perpendicular magnetic field in the presence of on-center donor and acceptor impurities are calculated using the exact diagonalization method. For a single electron case, the binding energy of on-center donor and acceptor impurities ar...
متن کاملHopf symmetry breaking and confinement in (2+1)-dimensional gauge theory
Gauge theories in 2+1 dimensions whose gauge symmetry is spontaneously broken to a finite group enjoy a quantum group symmetry which includes the residual gauge symmetry. This symmetry provides a framework in which fundamental excitations (electric charges) and topological excitations (magnetic fluxes) can be treated on equal footing. In order to study symmetry breaking by both electric and mag...
متن کاملA Hopf symmetry approach to the physics of ordinary and liquid crystals
We analyze the modes (excitations) of phases that arise via spontaneous global symmetry breaking from the isotropic phase. We focus on ordinary and liquid crystals. The modes can be classified into three categories: regular or electric modes, which refer to regular excitations of the ground state; topological or magnetic modes, which have a core in which the symmetry is (partially) restored; an...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review letters
دوره 89 18 شماره
صفحات -
تاریخ انتشار 2002