Numerical solution of the one-pair equation in the massive Schwinger model
Numerical solution of the one-pair equation in the massive Schwinger model
复制标题
大规模施温格模型中一对方程的数值解
DOI：
10.1016/0021-9991(89)90044-2
复制
发表时间：
1989
影响因子：
4.1
通讯作者：
J. Hiller
中科院分区：
文献类型：
--
作者：
Ya Ma;J. Hiller
大质量薛温格模型[L]经常被引用作为基本费米子受到限制的理论的一个例子。费米子之间的线性势能直接从场论中获得，这是只有一个空间自由度的自然结果。这一性质和降维的数量使得研究Schwinger模型成为理解禁闭理论的第一步。质量本征值问题的场论表述可以转化为一组无限的耦合积分方程组[3]。这是通过在Fock态上的总和中展开质量本征态来实现的。这种膨胀在光锥上量子化的理论中工作得最好[4，51。
The massive Schwinger model [l] is frequently cited [2] as an example of a theory in which the elementary fermions are confined. A linear potential between fermions is obtained directly from field theory and is a natural result of having only one spatial degree of freedom. This property and the reduced number of dimensions make study of the Schwinger model ideal as a first step in any attempt to understand confining theories.A field-theoretic statement of the mass-eigenvalue problem can be converted to an infinite set of coupled integral equations [3]. This is done by expanding the mass eigenstate in a sum over Fock states. The expansion works best in theories quantized on the light cone [4, 51.