2003/03/18 by E. Farhi, N. Graham, R. L. Jaffe +3
Computer Science · Physics and Astronomy · #Ansatz #Computational Physics and Python Applications #Electroweak interaction #Fermion #Gauge (firearms) #Gauge theory #Particle physics theoretical and experimental studies #Quantum #Quantum Chromodynamics and Particle Interactions #Soliton #Sphaleron #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1016/s0550-3213(03)00487-5
published as Nucl.Phys. B665 (2003) 623-648 · 30 pages LaTeX, 3 eps-figures
arxiv created 2003/03/18 · openalex publication_date 2003/07/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We explore the effects of a heavy fermion doublet in a simplified version of the standard electroweak theory. We integrate out the doublet and compute the exact effective energy functional of spatially varying gauge and Higgs fields. We perform a variational search for a local minimum of the effective energy and do not find evidence for a soliton carrying the quantum numbers of the decoupled fermion doublet. The fermion vacuum polarization energy offsets the gain in binding energy previously argued to be sufficient to stabilize a fermionic soliton. The existence of such a soliton would have been a natural way to maintain anomaly cancellation at the level of the states. We also see that the sphaleron energy is significantly increased due to the quantum corrections of the heavy doublet. We find that when the doublet is slightly heavier than the quantum--corrected sphaleron, its decay is exponentially suppressed owing to a new barrier. This barrier exists only for an intermediate range of fermion masses, and a heavy enough doublet is indeed unstable.