Role of the Anomalous <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">U</mi><mrow><msub><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi mathvariant="italic">A</mi></mrow></msub></mrow></math></span> for the Solution of the Doublet–Triplet Splitting Problem via the Pseudo-Goldstone Mechanism

Gia Dvali; Stefan Pokorski

doi:10.1103/PhysRevLett.78.807

Role of the Anomalous $U {(1)}_{A}$ for the Solution of the Doublet–Triplet Splitting Problem via the Pseudo-Goldstone Mechanism

Gia Dvali and Stefan Pokorski

Phys. Rev. Lett. 78, 807 – Published 3 February 1997

Abstract

The anomalous $U (1)_{A}$ symmetry provides a generic method of getting accidental symmetries. Therefore, it can play a crucial role in solving the doublet-triplet splitting problem via the pseudo-Goldstone mechanism to all orders in $M_{P}^{- 1}$ . No additional discrete or global symmetries are needed.