Exact five loop renormalization group functions of phi**4 theory with O(N) symmetric and cubic interactions: Critical exponents up to epsilon**5
Sep, 199413 pages
Published in:
- Phys.Lett.B 342 (1995) 284-296
e-Print:
- cond-mat/9503038 [cond-mat]
Report number:
- PRINT-95-096 (FREIE-U.,BERLIN)
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Abstract: (Elsevier)
The renormalization group functions are calculated in D = 4 − ϵ dimensions for the θ 4 -theory with two coupling constants associated with an O ( N )-symmetric and a cubic interaction. Divergences are removed by minimal subtraction. The critical exponents η, ν, and ω are expanded up to order ϵ 5 for the three nontrivial fixed points O ( N )-symmetric, Ising, and cubic. The results suggest the stability of the cubic fixed point for N ≥ 3, implying that the critical exponents seen in the magnetic transition of three-dimensional cubic crystals are of the cubic universality class. This is in contrast to earlier three-loop results which gave N > 3, and thus Heisenberg exponents. The numerical differences, however, are less than a percent making an experimental distinction of the universality classes very difficult.- phi**n model: 4
- symmetry: O(N)
- renormalization group
- critical phenomena
- epsilon expansion
- higher-order: 5
- fixed point: stability
- universality
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