Comments on Spontaneous Spin-Statistics Violation by Fermion Condensates

2007/11/26 by Apostolos Pilaftsis, Pilaftsis, Apostolos
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.0711.4146

7 pages, major revision w.r.t. earlier versions

openalex publication_date 2007/11/26 · arxiv created 2008/01/25 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Scalar condensation, the well-established Higgs phenomenon, is the standard paradigm for building up renormalizable gauge-invariant theories of massive gauge bosons. In this short note, we demonstrate the uniqueness of the Higgs vacuum state under the possible presence of fermion condensates in a renormalizable U(1) model. In the same context, we explain why spontaneous spin-statistics violation is technically not admitted in conventional Quantum Field Theory.

Citations

• On the Pauli principle violation in QFT

Related

• Violation of the Spin-Statistics Theorem and the Bose-Einstein Condensation of Particles with Half-Integer Spin
• The Higgs condensate as a quantum liquid: A critical comparison with observations
• Is the standard singlet Higgs a true massive field ?
• Symmetry allowed, but unobservable, phases in renormalizable Gauge Field Theory Models
• Allowed and observable phases in two-Higgs-doublet Standard Models