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A “gauged” U(1) Peccei–Quinn symmetry

Research paper by HajimeFukudaa, MasahiroIbeab, MotooSuzukiab, Tsutomu T.Yanagidaa

Indexed on: 01 Nov '17Published on: 01 Aug '17Published in: Physics Letters B



Abstract

The Peccei–Quinn (PQ) solution to the strong CP problem requires an anomalous global U(1)<math class="math"><mi is="true">U</mi><mo stretchy="false" is="true">(</mo><mn is="true">1</mn><mo stretchy="false" is="true">)</mo></math> symmetry, the PQ symmetry. The origin of such a convenient global symmetry is quite puzzling from the theoretical point of view in many aspects. In this paper, we propose a simple prescription which provides an origin of the PQ symmetry. There, the global U(1)<math class="math"><mi is="true">U</mi><mo stretchy="false" is="true">(</mo><mn is="true">1</mn><mo stretchy="false" is="true">)</mo></math> PQ symmetry is virtually embedded in a gauged U(1)<math class="math"><mi is="true">U</mi><mo stretchy="false" is="true">(</mo><mn is="true">1</mn><mo stretchy="false" is="true">)</mo></math> PQ symmetry. Due to its simplicity, this mechanism can be implemented in many conventional models with the PQ symmetry.