The effective exponent γ(Q) and the slope of the β function
The slope of the β function at a fixed point is commonly thought to be RG invariant and to be the critical exponent γ⁎ that governs the approach of any physical quantity R to its fixed-point limit: R⁎−R∝Qγ⁎. Chýla has shown that this is not quite true. Here we define a proper RG invariant, the “effe...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-10-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316304889 |
| _version_ | 1818291693930151936 |
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| author | P.M. Stevenson |
| author_facet | P.M. Stevenson |
| author_sort | P.M. Stevenson |
| collection | DOAJ |
| description | The slope of the β function at a fixed point is commonly thought to be RG invariant and to be the critical exponent γ⁎ that governs the approach of any physical quantity R to its fixed-point limit: R⁎−R∝Qγ⁎. Chýla has shown that this is not quite true. Here we define a proper RG invariant, the “effective exponent” γ(Q), whose fixed-point limit is the true γ⁎. |
| first_indexed | 2024-12-13T02:48:08Z |
| format | Article |
| id | doaj.art-99bbb52bbb5e40c6928bc4b1511edfaa |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-13T02:48:08Z |
| publishDate | 2016-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-99bbb52bbb5e40c6928bc4b1511edfaa2022-12-22T00:02:08ZengElsevierPhysics Letters B0370-26931873-24452016-10-01761C42843010.1016/j.physletb.2016.08.061The effective exponent γ(Q) and the slope of the β functionP.M. StevensonThe slope of the β function at a fixed point is commonly thought to be RG invariant and to be the critical exponent γ⁎ that governs the approach of any physical quantity R to its fixed-point limit: R⁎−R∝Qγ⁎. Chýla has shown that this is not quite true. Here we define a proper RG invariant, the “effective exponent” γ(Q), whose fixed-point limit is the true γ⁎.http://www.sciencedirect.com/science/article/pii/S0370269316304889 |
| spellingShingle | P.M. Stevenson The effective exponent γ(Q) and the slope of the β function Physics Letters B |
| title | The effective exponent γ(Q) and the slope of the β function |
| title_full | The effective exponent γ(Q) and the slope of the β function |
| title_fullStr | The effective exponent γ(Q) and the slope of the β function |
| title_full_unstemmed | The effective exponent γ(Q) and the slope of the β function |
| title_short | The effective exponent γ(Q) and the slope of the β function |
| title_sort | effective exponent γ q and the slope of the β function |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316304889 |
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