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Accidental Peccei-Quinn symmetry protected to arbitrary order · Around

2017

Accidental Peccei-Quinn symmetry protected to arbitrary order

Di Luzio, Luca, Nardi, Enrico, Ubaldi, Lorenzo

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A $SU(N)_L\times SU(N)_R$ gauge theory for a scalar multiplet $Y$ transforming in the bi-fundamental representation $(N,\bar N)$ preserves, for $N>4$, an accidental $U(1)$ symmetry firstly broken at operator dimension $N$.

Two configurations are possible for the vacuum expectation value of $Y$, which correspond to the (maximal) little groups $\mathcal{H}_s=SU(N)_{L+R}$ and $\mathcal{H}_h=SU(N-1)_L\times SU(N-1)_R\times U(1)_{L+R}$.
In the first case the accidental $U(1)$ gets also broken, yielding a pseudo Nambu-Goldstone boson with mass suppression controlled by $N$, while in the second case a global $U(1)$ remains unbroken.
The strong CP problem is solved by coupling $Y$ to new fermions carrying color.

Built on

N. Cabibbo and L. Maiani, in:
1970
Earlier work this paper cites.
H. Georgi and A. Pais, Phys. Rev. D16
1977
Earlier work this paper cites.
S. Weinberg, Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
F. Wilczek, Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
J. E. Kim, Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
G. ’t Hooft, in Recent Developments in Gauge Theories. Proceedings, Nato Advanced Study Institute, Cargese, France, August 26 - September 8, 1979 , Vol. 59, edited by G. ’t Hooft, C. Itzykson, A. Jaffe, H. Lehmann, P. K. Mitter, I. M. Singer, and R. Stora (1980) p. 135
1980
Earlier work this paper cites.
M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B166
1980
Earlier work this paper cites.

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R. D. Peccei and H. R. Quinn, Phys. Rev. D16

Cited in the paper.

R. D. Peccei and H. R. Quinn, Phys. Rev. Lett. 38

Cited in the paper.

The reader might be more familiar with the double trace Tr [ Y Y † Y Y † ] = T 2 − 2 A \hbox{Tr}[YY^{\dagger}YY^{\dagger}]=T^{2}-2A as a second invariant

Cited in the paper.

All other invariants can be expressed in terms of the set { C 1 ( x ) , C 2 ( x ) , … , C N − 1 ( x ) , 𝒟 } \{C_{1}(x),C_{2}(x),\dots,C_{N-1}(x),\mathcal{D}\} , see [ 13 ]

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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 S U ( N ) L , R SU(N)_{L,R} θ \theta -terms rather than θ Q C D \theta_{QCD}

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L. Di Luzio, F. Mescia, and E. Nardi, Phys. Rev. Lett. 118

2017

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