UNAMBIGUOUS FIELD-STRENGTH FORMULATION AND DUAL POTENTIALS FOR GAUGE THEORIES

被引：22

作者：

HALPERN, MB ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,LAWRENCE BERKELEY LAB,BERKELEY,CA 94720

来源：

PHYSICS LETTERS B | 1979年 / 81卷 / 02期

关键词：

D O I：

10.1016/0370-2693(79)90534-3

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Using completely fixed axial-like gauges, I construct the unique inversion A(F) for the potential A in terms of the field strength F. A change of variable to F results in an unambiguous field-strength formulation for any gauge theory; F is constrained to satisfy the Bianchi identities π{variant} F ∼ - eA(F) F ∼ = 0. Dual potentials A ∼ may also be introduced as functional Fourier conjugate to the Bianchi forms. For quantum electrodynamics in four dimensions, duality [F ↔ F ∼, A ↔ F ∼ is a perfect symmetry. Residuals of this symmetry persist in all theories however; e.g., F ∼ is always canonically conjugate to the magnetic fields. © 1979.

引用

页码：245 / 249

页数：5