Eliminating leading corrections to scaling in the three-dimensional O(N) symmetric phi**4 model: N=3 and N=4 - INSPIRE

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Eliminating leading corrections to scaling in the three-dimensional O(N) symmetric phi**4 model: N=3 and N=4

Martin Hasenbusch
(
- Humboldt U., Berlin
)

Oct, 2000

20 pages

Published in:

J.Phys.A 34 (2001) 8221-8236

e-Print:

cond-mat/0010463 [cond-mat]

DOI:

10.1088/0305-4470/34/40/302

Report number:

HUB-EP-00-39

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Abstract: (arXiv)

We study corrections to scaling in the O(3)- and O(4)-symmetric phi^4 model on the three-dimensional simple cubic lattice with nearest neighbour interactions. For this purpose, we use Monte Carlo simulations in connection with a finite size scaling method. We find that there exists a finite value of the coupling lambda^*, for both values of N, where leading corrections to scaling vanish. As a first application, we compute the critical exponents nu=0.710(2) and eta=0.0380(10) for N=3 and nu=0.749(2) and eta=0.0365(10) for N=4.

Note:

21 pages, 2 figures Report-no: HUB-EP-00/39

phi**n model: 4
symmetry: O(3)
symmetry: O(4)
dimension: 3
lattice field theory
scaling: finite size
numerical calculations: Monte Carlo

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