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pith:ORVA7NG3

pith:2026:ORVA7NG3AZHC5SX3IJA2BEXAFL

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Critical quench dynamics of Wegner's $\mathbb{Z}_2$ gauge model: a geometric perspective

Leticia F. Cugliandolo, Marco Picco, Ramgopal Agrawal

In Wegner's Z2 gauge model the percolation order parameter relaxes at criticality with dynamical exponent z_p approximately 2.6, the same value found for the energy density.

arxiv:2605.15841 v1 · 2026-05-15 · cond-mat.stat-mech · hep-lat · hep-th

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Claims

C1strongest claim

The critical non-equilibrium relaxation of the percolation order parameter is governed by a dynamical exponent z_p ≃ 2.6, consistent with that associated with the energy density, z_c. Importantly, the value of z_p is robust with respect to the initial quench condition and the choice of geometrical objects.

C2weakest assumption

That time-dependent finite-size scaling can be reliably applied to the percolation order parameter and geometric observables in this model, even in the absence of a local order parameter and without detailed knowledge of finite-size corrections or equilibration criteria.

C3one line summary

Quench dynamics of the 3D Z2 gauge model yield a dynamical exponent z_p ≈ 2.6 for the percolation order parameter that matches the energy-density exponent and remains robust across initial conditions and geometric observables.

References

65 extracted · 65 resolved · 1 Pith anchors

[1] The critical relaxation of the percolation order parameter is governed by a dynamical exponentz p ≃2.6, consistent with the corresponding exponent for energy relaxation, zc

[2] The value ofz p is robust, within error bars, with respect to both the quench protocol and the choice of geometrically defined objects

[3] The time evolution of the number statisticsN(s, t) of geometrical objects of sizes, following a quench from the percolation phase, supports a dynamic scaling framework governed by a time-dependent len

[4] We structure this paper as follows

[5] At early times, large multiple-spanning objects shrink so that smaller ones can accom- modate

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Receipt and verification

First computed	2026-05-20T00:01:21.214753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

746a0fb4db064e2ecafb4241a092e02ae0e904878408b331ad3831705061aa0f

Aliases

arxiv: 2605.15841 · arxiv_version: 2605.15841v1 · doi: 10.48550/arxiv.2605.15841 · pith_short_12: ORVA7NG3AZHC · pith_short_16: ORVA7NG3AZHC5SX3 · pith_short_8: ORVA7NG3

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/ORVA7NG3AZHC5SX3IJA2BEXAFL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 746a0fb4db064e2ecafb4241a092e02ae0e904878408b331ad3831705061aa0f

Canonical record JSON

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    "abstract_canon_sha256": "56d16c5304e4cfe7838394e409d417040d3bb4d2ddb3e2d943f0a1c123da8dac",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-15T10:54:56Z",
    "title_canon_sha256": "be167ee1b6ae4eab6542f70f65c7974ee596f95f5acff4654eb25d3b0de96fa5"
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