Accidental Peccei-Quinn Symmetry Protected to Arbitrary Order.
@article{DiLuzio2017AccidentalPS, title={Accidental Peccei-Quinn Symmetry Protected to Arbitrary Order.}, author={Luca Di Luzio and Enrico Nardi and Lorenzo Ubaldi}, journal={Physical review letters}, year={2017}, volume={119 1}, pages={ 011801 } }
A SU(N)_{L}×SU(N)_{R} gauge theory for a scalar multiplet Y transforming in the bifundamental representation (N,N[over ¯]) preserves, for N>4, an accidental U(1) symmetry first broken at operator dimension N. A vacuum expectation value for Y can break the symmetry to H_{s}=SU(N)_{L+R} or to H_{h}=SU(N-1)_{L}×SU(N-1)_{R}×U(1)_{L+R}. In the first case the accidental U(1) gets also broken, yielding a pseudo-Nambu-Goldstone boson with mass suppression controlled by N. In the second case a global U…
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This point is important for the PQ solution: it ensures that the VEV of the axion will not end up canceling the SU (N )L,R θ-terms rather than θQCD
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The reader might be more familiar with the double trace Tr
All other invariants can be expressed in terms of the set {C1(x), C2(x), . . . , CN−1(x), D}, see
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