NON-RELATIVISTIC FERMIONS, COADJOINT ORBITS OF W∞ AND STRING FIELD THEORY AT c=1
NON-RELATIVISTIC FERMIONS, COADJOINT ORBITS OF W∞ AND STRING FIELD THEORY AT c=1
复制标题
非相对论费米子、W∞ 的共结轨道和 c=1 时的弦场理论
DOI：
10.1142/s0217732392002512
复制
发表时间：
1992
影响因子：
1.4
通讯作者：
S. Wadia
中科院分区：
文献类型：
--
作者：
A. Dhar;G. Mandal;S. Wadia
我们将W∞-代数的共伴轨道方法应用于一维非相对论费米子问题。这导致了量子理论根据费米流体的量子相空间分布的几何公式。该作用在弦耦合中具有无限级数展开，其主阶简化为先前讨论的基于保面积微分同胚组 w∞ 的经典费米流体的几何作用。我们简要讨论弦理论的强耦合极限，与弱耦合机制不同，弦理论似乎不承认二维时空图景。我们的方法同样适用于一维相互作用的费米子。
We apply the method of coadjoint orbits of W∞-algebra to the problem of non-relativistic fermions in one dimension. This leads to a geometric formulation of the quantum theory in terms of the quantum phase space distribution of the Fermi fluid. The action has an infinite series of expansion in the string coupling, which to leading order reduces to the previously discussed geometric action for the classical Fermi fluid based on the group w∞ of area-preserving diffeomorphisms. We briefly discuss the strong coupling limit of the string theory which, unlike the weak coupling regime, does not seem to admit a two-dimensional space-time picture. Our methods are equally applicable to interacting fermions in one dimension.