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models:speculative_models:axion [2019/07/01 07:27]
jakobadmin [Criticism]
models:speculative_models:axion [2019/07/01 07:27] (current)
jakobadmin [Criticism]
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 <​blockquote>​The notion of Peccei–Quinn (PQ) symmetry may seem contrived. Why should there be a U(1) symmetry which is broken at the quantum level but which is exact at the classical level? However, the reason for PQ symmetry may be deeper than we know at present. String theory contains many examples of symmetries which are exact classically but which are broken by quantum anomalies, including PQ symmetry [17–19]. Within field theory, there are examples of theories with automatic PQ symmetry, i.e. where PQ symmetry is a consequence of just the particle content of the theory without adjustment of parameters to special values. <​cite>​[[https://​www.sciencedirect.com/​science/​article/​pii/​S1631070511002039|The strong CP problem by Pierre Sikivie]]</​cite></​blockquote>​ <​blockquote>​The notion of Peccei–Quinn (PQ) symmetry may seem contrived. Why should there be a U(1) symmetry which is broken at the quantum level but which is exact at the classical level? However, the reason for PQ symmetry may be deeper than we know at present. String theory contains many examples of symmetries which are exact classically but which are broken by quantum anomalies, including PQ symmetry [17–19]. Within field theory, there are examples of theories with automatic PQ symmetry, i.e. where PQ symmetry is a consequence of just the particle content of the theory without adjustment of parameters to special values. <​cite>​[[https://​www.sciencedirect.com/​science/​article/​pii/​S1631070511002039|The strong CP problem by Pierre Sikivie]]</​cite></​blockquote>​
  
-<​blockquote>​There,​ a global U(1) symmetry (the PQ symmetry) which is almost exact but broken by the axial anomaly of QCD plays a crucial role. After spontaneous breaking, the effective θ-angle of QCD is cancelled by the vacuum expectation value (VEV) of the associated pseudo Nambu-Goldstone boson, the axion a. The origin of such a convenient global symmetry is, however, quite puzzling from the theoretical point of view in many aspects. By definition, the PQ symmetry is not an exact symmetry. Besides, the postulation of global symmetries is not comfortable in the sense of general relativity. It is also argued that all global symmetries are broken by quantum gravity effects [5–10].<​cite>​https://​arxiv.org/​abs/​1703.01112</​cite></​blockquote>​+<​blockquote>​There,​ a global U(1) symmetry (the PQ symmetry) which is almost exact but broken by the axial anomaly of QCD plays a crucial role. After spontaneous breaking, the effective θ-angle of QCD is cancelled by the vacuum expectation value (VEV) of the associated pseudo Nambu-Goldstone boson, the axion a. The origin of such a convenient global symmetry is, however, quite puzzling from the theoretical point of view in many aspects. By definition, the PQ symmetry is not an exact symmetry. Besides, the postulation of global symmetries is not comfortable in the sense of general relativity. It is also argued that all global symmetries are broken by quantum gravity effects [5–10]. If we 
 +could regard the PQ symmetry as a U(1) gauge symmetry, there would be no suspicion about the exactness and 
 +the consistency with quantum gravity. The PQ symmetry is, however, broken by the QCD anomaly, and hence, 
 +it cannot be a consistent gauge symmetry as it is. <​cite>​https://​arxiv.org/​abs/​1703.01112</​cite></​blockquote>​
  
 </​tabbox>​ </​tabbox>​
  
  
models/speculative_models/axion.txt · Last modified: 2019/07/01 07:27 by jakobadmin