Finite-Size Effects in the φ4 Field and Lattice Theory Above the Upper Critical Dimension
1998 ◽
Vol 09
(07)
◽
pp. 1007-1019
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Keyword(s):
We demonstrate that the standard O(n) symmetric φ4 field theory does not correctly describe the leading finite-size effects near the critical point of spin systems with periodic boundary conditions on a d-dimensional lattice with d>4. We show that these finite-size effects require a description in terms of a lattice Hamiltonian. For n →∞ and n=1, explicit results are given for the susceptibility and for the Binder cumulant. They imply that these quantities do not have the universal properties predicted previously and that recent analyses of Monte Carlo results for the five-dimensional Ising model are not conclusive.
2004 ◽
Vol 15
(01)
◽
pp. 115-127
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1998 ◽
Vol 09
(07)
◽
pp. 1073-1105
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Keyword(s):
Keyword(s):
1992 ◽
Vol 68
(13)
◽
pp. 2094-2097
◽
Keyword(s):
2021 ◽
pp. 760-785
Keyword(s):
Keyword(s):
2000 ◽
Vol 10
(PR7)
◽
pp. Pr7-251-Pr7-254
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Keyword(s):