Nonabelian Berry Phases in Baryons
نویسندگان
چکیده
منابع مشابه
Nonabelian Berry Phases in Baryons
We show how generic nonabelian gauge fields can be induced in baryons when a hierarchy of fast degrees of freedom is integrated out. We identify them with nonabelian Berry potentials and discuss their role in transmuting quantum numbers in bag and soliton models of baryons. The resulting baryonic spectra both for light and heavy quark systems are generic and resemble closely the excitation spec...
متن کاملVanishing of non-Abelian Berry phases in heavy solitonic baryons.
In this article, we show – using a reasoning applicable to both the excitation spectrum in the chiral bag model and the hyperfine structure of diatomic molecules – that the generic form of a nonabelian Berry potential appears in heavy quark effective theory (HQET) and that the Berry potential vanishes for the solitonheavy meson bound state in the heavy-quark limit. The vanishing of the Berry po...
متن کاملRotation Symmetry and Nonabelian Berry Potential
We study the role of rotational symmetry in the systems where nonabelian Berry potentials emerge as a result of integrating out fast degrees of freedom. The conserved angular momentum is constructed in the presence of a non-abelian Berry potential, which is formulated using Grassmann variables. The modifications on conventional angular momentum are discussed in close analogy with monopole syste...
متن کاملCartan - Hannay - Berry Phases and Symmetry
We give a systematic treatment of the treatment of the classical Hannay-Berry phases for mechanical systems in terms of the holonomy of naturally constructed connections on bundles associated to th~ system. We make the costructions using symmetry and reduction and, for moving systems, we use the Cartan connection. These ideas are woven with the idea of Montgomery [1988] on the averaging of conn...
متن کاملNon-Abelian Berry Phases and BPS Monopoles
We study a simple quantum mechanical model of a spinning particle moving on a sphere in the presence of a magnetic field. The system has two ground states. As the magnetic field is varied, the ground states mix through a non-Abelian Berry phase. We show that this Berry phase is the path ordered exponential of the smooth SU(2) ’t Hooft-Polyakov monopole. We further show that, by adjusting a pote...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Physics
سال: 1993
ISSN: 0003-4916
DOI: 10.1006/aphy.1993.1079