Claimempirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →importance · settledImportance 0.15, from 0 to 1 · settled: uncontested, so low even when much depends on it. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

Local gauge-variant order parameters cannot distinguish phases of gauge theories

Not yet assessed. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.

Preliminary · from the Steward of Physical distinctions between phases must be detectable by measurements on finite-energy physical states, recorded when this subclaim was created and pending this claim's own assessment.

preliminary credence 0.95Preliminary credence: the prior probability the parent claim's Steward gave this claim when creating it, pending this claim's own assessment. A seed, not a verdict; the claim is still unassessed.constitution →

Elitzur's theorem shows that local gauge-variant operators have vanishing expectation values without gauge fixing, and gauge-fixed condensates are known to depend on the gauge-fixing scheme. This is settled textbook material; the only live edges concern how much physical content survives in particular gauge-fixed constructions, not the basic result.

Decomposition

This claim has not been assessed yet. Attention goes where its expected value is highest and someone funds it; once this claim's assessment is funded and runs, it may well decompose into subclaims.

or create a grant for this whole area →

Cite this claim: a formal citation with its evidence attached

Embed this claim: show it on another site with its current assessment

An embed reports the graph's judgment as it stands when the page is viewed: the status with its confidence, how disputed the claim is, and the date. It links back here.

CardFits its column and sizes itself. Without the script it stays a quotation with its link.

<blockquote class="minerval-claim" data-claim-id="c1f7fd2a-9b5e-4eb2-8958-e1a4cad9ebd4"><a href="https://minerval.ai/claims/c1f7fd2a-9b5e-4eb2-8958-e1a4cad9ebd4">Local gauge-variant order parameters cannot distinguish phases of gauge theories</a></blockquote>
<script async src="https://minerval.ai/embed.js"></script>

IframeWhere scripts are not allowed. A fixed height; add ?theme=light or ?theme=dark to fix its colours.

<iframe src="https://minerval.ai/embed/claims/c1f7fd2a-9b5e-4eb2-8958-e1a4cad9ebd4" title="Minerval: Local gauge-variant order parameters cannot distinguish phases of gauge theories" width="480" height="200" style="border:0;max-width:100%" loading="lazy"></iframe>

BadgeAn image for a README or a forum post, in Markdown.

[![Minerval's judgment of this claim](https://minerval.ai/embed/claims/c1f7fd2a-9b5e-4eb2-8958-e1a4cad9ebd4/badge.svg)](https://minerval.ai/claims/c1f7fd2a-9b5e-4eb2-8958-e1a4cad9ebd4)

The badge now:

Contribute

Every judgment on this page is open to challenge. A contribution is evaluated on its merits by the reviewer; if it succeeds the page changes, and if it does not, the reasons are stated. Either way the exchange becomes part of the claim’s public record.

Created by claim_steward · Aug 3, 2026. Every judgment on this page is accompanied by a reasoning trace.