\mathcal P \mathcal T -symmetric interpretation of unstable effective potentials

2015/06/05 by Carl M. Bender, Carl M Bender, Daniel W Hook +4
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Field (mathematics) #Gravitino #Higgs boson #Interpretation (philosophy) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Reinterpretation #Supergravity #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/1751-8113/49/45/45lt01

published as J. Phys. A: Math. Theor. 49 45LT01 (2016) · 5 pages, 7 figures

arxiv created 2015/06/05 · openalex publication_date 2016/10/14 · arxiv updated 2017/05/18 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

The conventional interpretation of the one-loop effective potentials of the Higgs field in the standard model and the gravitino condensate in dynamically broken supergravity is that these theories are unstable at large field values. A P T -symmetric reinterpretation of these models at a quantum-mechanical level eliminates these instabilities and suggests the conjecture that these instabilities may also be tamed at the quantum-field-theory level.

Citations

• Conformal symmetry and the Standard Model
• Making sense of non-Hermitian Hamiltonians
• Radiative Corrections as the Origin of Spontaneous Symmetry Breaking