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Scale and conformal invariance in field theory: a physical counterexample

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arxiv hep-th/0504197 v2 pith:YOGL2IU5 submitted 2005-04-25 hep-th cond-mat.stat-mechmath-phmath.MP

classification hep-thcond-mat.stat-mechmath-phmath.MP
keywords theoryconformalfieldinvariancephysicalscalecounterexampledisplaying
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In this note, we illustrate how the two-dimensional theory of elasticity provides a physical example of field theory displaying scale but not conformal invariance.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Disturbing news about the $d=2+\epsilon$ expansion

    hep-th 2025-05 conditional novelty 7.0 of 10

    A protected operator forces the O(N) nonlinear sigma model fixed point in 2+epsilon dimensions to be a different CFT family from the Wilson-Fisher O(N) fixed point for finite N.

  2. Universalities of Defects in Quantum Field Theories

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.

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