Scaling solutions in a continuous dimension
Abstract
We study scaling solutions of the RG flow equation for {Z}_{2}-effective potentials in a continuous dimension d ⩾ 2. As the dimension is lowered from d = 4 we first observe the appearance of the Ising scaling solution and successively the appearance of multi-critical scaling solutions of arbitrary order. Approaching d = 2 these multi-critical scaling solutions converge to the unitary minimal models found in conformal field theory.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- November 2012
- DOI:
- 10.1088/1751-8113/45/46/465006
- arXiv:
- arXiv:1204.3877
- Bibcode:
- 2012JPhA...45T5006C
- Keywords:
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- High Energy Physics - Theory;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 5 pages, 5 figures, published version