违反规范等价性
Violation of the gauge equivalence
摘要：
F. V. Gubarev et al.（"On the significance of the vector potential squared“，Phys. Rev. Lett. 86，2220）认为矢势本身可能有物理意义，这与规范等效原理相悖。阿利波斯河I. Khrapko提出了规范非不变电动力学自旋张量（"电磁波的自旋密度“）。标准电动力学自旋张量为零。在这里，我们指出，Biot-Savarat公式唯一的结果，在一个首选的，“真正的”矢量势场，这是从一个给定的磁场。一个类似的积分公式唯一允许找到一个“真正的”标量势场产生的一个给定的电场，即使在一个无势电场的情况下。使用了微分形式的概念。我们说一个形式的外导数是这个形式的边界，并且通过Biot-Savarat型公式对一个形式进行积分得到一个新的形式，称为生成。从一代生成的结果为零。边界的边界是零。边界关闭。一代人是不育的。考虑了共轭。接合将封闭形式转换为不育形式，然后再转换回来。它允许构建形式链。合取与霍奇星运算不同：共轭并不意味着对偶。考虑了圆极化波的电动力学自旋张量问题。提出了一种新的人择原理。
英文摘要：
F. V. Gubarev et al. (``On the significance of the vector potential squared'', Phys. Rev. Lett. 86, 2220) have argued that the vector potential itself may have physical meaning, in defiance of the gauge equivalence principle. Earlier R. I. Khrapko proposed a gauge noninvariant electrodynamics spin tensor (``Spin density of electromagnetic waves''). The standard electrodynamics spin tensor is zero. Here we point out that the Biot-Savarat formula uniquely results in a preferred, "true" vector potential field which is generated from a given magnetic field. A similar integral formula uniquely permits to find a "true" scalar potential field generated from a given electric field even in the case of a nonpotential electric field. A conception of differential forms is used. We say that an exterior derivative of a form is the boundary of this form and the integration of a form by the Biot-Savarat-type formula results in a new form named the generation. Generating from a generation yields zero. The boundary of a boundary is zero. A boundary is closed. A generation is sterile. A conjugation is considered. The conjugation converts closed forms to sterile forms and back. It permits to construct chains of forms. The conjunction differs from the Hodge star operation: the conjugation does not imply the dualization. A circularly polarized wave is considered in view of the electrodynamics spin tensor problem. A new anthropic principle is presented.
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