INDUCED GAUGE-THEORY AT LARGE-N

被引：90

作者：

KAZAKOV, VA ^{[1
]}

MIGDAL, AA ^{[1
]}

机构：

[1] PRINCETON UNIV, DEPT PHYS, PRINCETON, NJ 08544 USA

来源：

NUCLEAR PHYSICS B | 1993年 / 397卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(93)90342-M

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We Propose and study at large N a new lattice gauge model, in which the Yang-Mills interaction is induced in the naive one-loop approximation by the heavy scalar field in the adjoint representation. At any dimension of space and any N the gauge fields can be integrated out yielding an effective field theory for the gauge-invariant scalar field, corresponding to eigenvalues of the initial matrix field. This field develops a vacuum average, the fluctuations of which describe elementary excitations of our gauge theory. At N = infinity we find two phases of the model: the strong-coupling phase which may be relevant to QCD (if there are no phase transitions at some critical N), and the weak-coupling phase. We have derived exact nonlinear integral equations for the vacuum average and for the scalar excitation spectrum.

引用

页码：214 / 238

页数：25

共 7 条

[1] EXACTLY SOLVABLE FIELD-THEORIES OF CLOSED STRINGS [J].