A Gauge field Induced by the Global Gauge Invariance of Action Integral

TL;DR

This paper shows that removing the localized assumption reveals that global gauge invariance can induce gauge fields, challenging the common belief that it does not cause such fields.

Contribution

It demonstrates that excluding the localized assumption leads to gauge field induction from global gauge invariance, providing a new perspective on gauge theories.

Findings

Gauge field can be induced by global gauge invariance when the localized assumption is excluded.

An example supports the theoretical conclusion.

Challenges the traditional view that global gauge invariance does not produce gauge fields.

Abstract

As a general rule, it is considered that the global gauge invariance of an action integral does not cause the occurrence of gauge field. However, in this paper we demonstrate that when the so-called localized assumption is excluded, the gauge field will be induced by the global gauge invariance of the action integral. An example is given to support this conclusion.