Comments on Spontaneous Spin-Statistics Violation by Fermion Condensates
Apostolos Pilaftsis
TL;DR
This paper discusses the uniqueness of the Higgs vacuum in the presence of fermion condensates and explains why spontaneous spin-statistics violation is not possible in standard quantum field theory.
Contribution
It provides a theoretical analysis showing the stability of the Higgs vacuum and clarifies the impossibility of spontaneous spin-statistics violation within conventional QFT.
Findings
Higgs vacuum state is unique even with fermion condensates
Spontaneous spin-statistics violation is not admitted in standard QFT
Clarifies theoretical constraints on fermion condensates
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.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · Atomic and Subatomic Physics Research