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A misleading naming convention: de Sitter `tachyonic' scalar fields

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arxiv 2403.17539 v3 pith:6DD47F47 submitted 2024-03-26 gr-qc hep-thmath-phmath.MP

A misleading naming convention: de Sitter `tachyonic' scalar fields

classification gr-qc hep-thmath-phmath.MP
keywords fieldsmassphysicaltachyonicdiscreteframeworkgaugeinstability
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We revisit the concept of de Sitter (dS) 'tachyonic' scalar fields, characterized by discrete negative squared mass values, and assess their physical significance through a rigorous Wigner-inspired group-theoretical analysis. This perspective demonstrates that such fields, often misinterpreted as inherently unstable due to their mass parameter, are best understood within the framework of unitary irreducible representations (UIRs) of the dS group. The discrete mass spectrum arises naturally in this representation framework, offering profound insights into the interplay between dS relativity and quantum field theory. Contrary to their misleading nomenclature, we argue that the 'mass' parameter associated with these fields lacks intrinsic physical relevance, challenging traditional assumptions that link it to physical instability. Instead, any perceived instability originates from mismanagement of the system's inherent gauge invariance rather than the fields themselves. A proper treatment of this gauge symmetry, particularly through the Gupta-Bleuler formalism, restores the expected characteristics of these fields as free quantum entities in a highly symmetric spacetime. This study seeks to dispel misconceptions surrounding dS 'tachyonic' fields, underscoring the importance of precise terminology and robust theoretical tools in addressing their unique properties.

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  1. A discrete series gauge field at the late-time boundary of $dS_4$

    hep-th 2026-07 accept novelty 6.0

    Both Δ=1 and Δ=2 late-time Maxwell operators on planar dS4 furnish the photon unitary discrete series of SO(4,1), which splits into opposite-helicity summands via self-dual field-strength sectors.