2003
DOI: 10.1016/s0370-2693(03)00411-8
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Stabilizing the axion by discrete gauge symmetries

Abstract: The axion solution to the strong CP problem makes use of a global Peccei-Quinn U (1) symmetry which is susceptible to violations from quantum gravitational effects. We show how discrete gauge symmetries can protect the axion from such violations. PQ symmetry emerges as an approximate global symmetry from discrete gauge symmetries. Simple models based on Z N symmetries with N = 11, 12, etc are presented realizing the DFSZ axion and the KSVZ axion. The discrete gauge anomalies are cancelled by a discrete version… Show more

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Cited by 66 publications
(71 citation statements)
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“…[69]. (For other works using discrete symmetries to protect the axion's interactions in models with extended gauge groups, see for example [104][105][106], and the recent [107,108]). …”
Section: Jhep02(2018)103mentioning
confidence: 99%
“…[69]. (For other works using discrete symmetries to protect the axion's interactions in models with extended gauge groups, see for example [104][105][106], and the recent [107,108]). …”
Section: Jhep02(2018)103mentioning
confidence: 99%
“…Usually, there is an unbroken discrete Z N subgroup of the U(1) A gauge symmetry, which is protected against quantum gravitational violation. We shall consider this Z N discrete symmetry as an approximate global U(1) P Q symmetry [23].…”
Section: Stabilization Of the Axion Solution And Peccei-quinn Symentioning
confidence: 99%
“…Usually, one only considers non-Abelian anomaly cancellations because the associated KacMoody level for U (1) is not an integer in general, hence this condition is not very useful from a low-energy effective theory point of view [23,24].…”
Section: Stabilization Of the Axion Solution And Peccei-quinn Symentioning
confidence: 99%
“…According to this definition, baryon number is an automatic symmetry at the renormalizable level due to the SM gauge symmetry. To this end, large discrete gauge symmetries such as Z n≥10 are conventionally invoked [16][17][18][19][20]. More recently, there have been some interesting alternative proposals for PQ symmetry protection which involve extra dimensions [21] and anthropic considerations [22,23].…”
Section: Jhep06(2010)074mentioning
confidence: 99%
“…In particular, we can retrofit the Yukawa interactions for the top and bottom quarks with the only allowed gauge invariant dimension 6 operators 19) where (bras) kets represent (anti-)fundamentals of SU (3) f . The vev of φ ± generates the heavy quark Yukawa couplings.…”
Section: A Simple Renormalizable Uv Completionmentioning
confidence: 99%