Costas G. Strouthos and Ioannis N. Tziligakis JHEP02(2003)034 doi:10.1088/1126-6708/2003/02/034
The scaling region of the lattice O(N) sigma model at finite temperature
Costas G. Strouthos1 and Ioannis N. Tziligakis2
Show affiliationsWe present results from numerical studies of the finite temperature phase transition of the (3+1)d O(N)-symmetric non-linear sigma model for N = 1,2 and 3. We study the dependence of the width of the 3d critical region on N and we show that the broken phase scaling region is much wider for N = 2 and 3 than for N = 1. We also compare the widths of the critical region in the low T and high T phases of the O(2) model and we show that the scaling region in the broken phase is much wider than in the symmetric phase. We also report results for the width of the scaling regions in the low T phase (2+1)d Ising model and we show that the spatial correlation length has to be approximately twice the lattice temporal extent before the 2d scaling region is reached.
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E-print Number: hep-lat/0212040
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- PACS
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11.10.Wx Finite-temperature field theory
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Issue 02 (February 2003)
Received 15 January 2003, accepted for publication 18 February 2003
Published 25 February 2003
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The scaling region of the lattice O(N) sigma model at finite temperature
Costas G. Strouthos and Ioannis N. Tziligakis JHEP02(2003)034
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