Finite size scaling and the zeroes of the partition function in the Ф44 model

Ralph Kenna; C. B. Lang

doi:10.1016/0370-2693(91)90367-Y

Finite size scaling and the zeroes of the partition function in the Ф44 model

Ralph Kenna, C. B. Lang

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Abstract

We study finite-size scaling of the temperature zeroes of the partition function for Ф4 theory in four dimensions. The theory is simulated by Monte Carlo cluster methods and histograms are used to determine the partition function. The positions of the zeroes are obtained for lattices ranging from 84 to 244. The scaling laws include logarithmic corrections for the bulk quantities and we succeed to identify them clearly, in agreement with our analytical prediction.

Original language	English
Pages (from-to)	396-400
Journal	Physics Letters B
Volume	264
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(91)90367-Y
Publication status	Published - 1 Aug 1991

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10.1016/0370-2693(91)90367-Y

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abstract = "We study finite-size scaling of the temperature zeroes of the partition function for Ф4 theory in four dimensions. The theory is simulated by Monte Carlo cluster methods and histograms are used to determine the partition function. The positions of the zeroes are obtained for lattices ranging from 84 to 244. The scaling laws include logarithmic corrections for the bulk quantities and we succeed to identify them clearly, in agreement with our analytical prediction.",

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AU - Kenna, Ralph

AU - Lang, C. B.

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N2 - We study finite-size scaling of the temperature zeroes of the partition function for Ф4 theory in four dimensions. The theory is simulated by Monte Carlo cluster methods and histograms are used to determine the partition function. The positions of the zeroes are obtained for lattices ranging from 84 to 244. The scaling laws include logarithmic corrections for the bulk quantities and we succeed to identify them clearly, in agreement with our analytical prediction.

AB - We study finite-size scaling of the temperature zeroes of the partition function for Ф4 theory in four dimensions. The theory is simulated by Monte Carlo cluster methods and histograms are used to determine the partition function. The positions of the zeroes are obtained for lattices ranging from 84 to 244. The scaling laws include logarithmic corrections for the bulk quantities and we succeed to identify them clearly, in agreement with our analytical prediction.

U2 - 10.1016/0370-2693(91)90367-Y

DO - 10.1016/0370-2693(91)90367-Y

M3 - Article

SN - 0370-2693

SN - 1873-2445

VL - 264

SP - 396

EP - 400

JO - Physics Letters B

JF - Physics Letters B

IS - 3-4

ER -

Finite size scaling and the zeroes of the partition function in the Ф44 model

Abstract

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