On logarithmic extensions of local scale-invariance
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arXiv
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| Format: | Preprint |
| Publié: |
2010
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| _version_ | 1866910020233330688 |
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| author | Henkel, Malte |
| author_facet | Henkel, Malte |
| contents | Ageing phenomena far from equilibrium naturally present dynamical scaling and in many situations this may generalised to local scale-invariance. Generically, the absence of time-translation-invariance implies that each scaling operator is characterised by two independent scaling dimensions. Building on analogies with logarithmic conformal invariance and logarithmic Schrödinger-invariance, this work proposes a logarithmic extension of local scale-invariance, without time-translation-invariance. Carrying this out requires in general to replace both scaling dimensions of each scaling operator by Jordan cells. Co-variant two-point functions are derived for the most simple case of a two-dimensional logarithmic extension. Their form is compared to simulational data for autoresponse functions in several universality classes of non-equilibrium ageing phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1009_4139 |
| institution | arXiv |
| publishDate | 2010 |
| record_format | arxiv |
| spellingShingle | On logarithmic extensions of local scale-invariance Henkel, Malte High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice Mathematical Physics Ageing phenomena far from equilibrium naturally present dynamical scaling and in many situations this may generalised to local scale-invariance. Generically, the absence of time-translation-invariance implies that each scaling operator is characterised by two independent scaling dimensions. Building on analogies with logarithmic conformal invariance and logarithmic Schrödinger-invariance, this work proposes a logarithmic extension of local scale-invariance, without time-translation-invariance. Carrying this out requires in general to replace both scaling dimensions of each scaling operator by Jordan cells. Co-variant two-point functions are derived for the most simple case of a two-dimensional logarithmic extension. Their form is compared to simulational data for autoresponse functions in several universality classes of non-equilibrium ageing phenomena. |
| title | On logarithmic extensions of local scale-invariance |
| topic | High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice Mathematical Physics |
| url | https://arxiv.org/abs/1009.4139 |