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Critical

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behaviour and scaling functions of the three-dimensional O(6) model

behaviour and scaling functions of the three-dimensional O(6) model Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/0305019v1.pdf

http://arxiv.org/pdf/hep-lat/0305019v1.pdf Minimize

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text

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en

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1 Specific heat and energy for the three-dimensional O(2) model ∗

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We investigate the three-dimensional O(2) model on lattices of size 8 3 to 160 3 close to the critical point at zero magnetic field. We confirm explicitly the value of the critical coupling Jc found by Ballesteros et al. and estimate there the universal values of gr and ξ/L. At the critical point we study the finite size dependencies of the ener...

We investigate the three-dimensional O(2) model on lattices of size 8 3 to 160 3 close to the critical point at zero magnetic field. We confirm explicitly the value of the critical coupling Jc found by Ballesteros et al. and estimate there the universal values of gr and ξ/L. At the critical point we study the finite size dependencies of the energy density ǫ and the specific heat C. We find that the nonsingular part of the specific heat Cns is linearly dependent on 1/α. From the critical behaviour of the specific heat for T ̸ = Tc on the largest lattices we determine the universal amplitude ratio A + /A −. The α-dependence of this ratio is close to the phenomenological relation A + /A − = 1 − 4α. 1. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/0109013v1.pdf

http://arxiv.org/pdf/hep-lat/0109013v1.pdf Minimize

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text

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en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

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1 Comparison of finite-size-scaling functions for 3d O(N) spin models to QCD ∗

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We calculate numerically universal finite-size-scaling functions of the magnetization for the three-dimensional O(4) and O(2) spin models. The approach of these functions to the infinite-volume scaling functions is studied in detail on the critical and pseudocritical lines. For this purpose we determine the pseudocritical line in two different w...

We calculate numerically universal finite-size-scaling functions of the magnetization for the three-dimensional O(4) and O(2) spin models. The approach of these functions to the infinite-volume scaling functions is studied in detail on the critical and pseudocritical lines. For this purpose we determine the pseudocritical line in two different ways. We find that the asymptotic form of the finite-size-scaling functions is already reached at small values of the scaling variable. A comparison with QCD lattice data for two flavours of staggered fermions shows a similar finite-size behaviour which is compatible with that of the spin models. 1. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/0110014v1.pdf

http://arxiv.org/pdf/hep-lat/0110014v1.pdf Minimize

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text

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en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

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1 Comparison of finite-size-scaling functions for 3d O(N) spin models to QCD ∗

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We calculate numerically universal finite-size-scaling functions of the magnetization for the three-dimensional O(4) and O(2) spin models. The approach of these functions to the infinite-volume scaling functions is studied in detail on the critical and pseudocritical lines. For this purpose we determine the pseudocritical line in two different w...

We calculate numerically universal finite-size-scaling functions of the magnetization for the three-dimensional O(4) and O(2) spin models. The approach of these functions to the infinite-volume scaling functions is studied in detail on the critical and pseudocritical lines. For this purpose we determine the pseudocritical line in two different ways. We find that the asymptotic form of the finite-size-scaling functions is already reached at small values of the scaling variable. A comparison with QCD lattice data for two flavours of staggered fermions shows a similar finite-size behaviour which is compatible with that of the spin models. 1. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/0110014v2.pdf

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text

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en

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1 Comparison of finite-size-scaling functions for 3d O(N) spin models to QCD ∗

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Description:

We calculate numerically universal finite-size-scaling functions of the magnetization for the three-dimensional O(4) and O(2) spin models. The approach of these functions to the infinite-volume scaling functions is studied in detail on the critical and pseudocritical lines. For this purpose we determine the pseudocritical line in two different w...

We calculate numerically universal finite-size-scaling functions of the magnetization for the three-dimensional O(4) and O(2) spin models. The approach of these functions to the infinite-volume scaling functions is studied in detail on the critical and pseudocritical lines. For this purpose we determine the pseudocritical line in two different ways. We find that the asymptotic form of the finite-size-scaling functions is already reached at small values of the scaling variable. A comparison with QCD lattice data for two flavours of staggered fermions shows a similar finite-size behaviour which is compatible with that of the spin models. 1. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/0110014v3.pdf

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text

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en

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Title:

CRITICAL BEHAVIOUR AND SCALING FUNCTIONS FOR THE THREE-DIMENSIONAL O(6) SPIN MODEL WITH EXTERNAL FIELD ∗

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We numerically investigate the three-dimensional O(6) model on 12 3 to 120 3 lattices. From Binder’s cumulant at vanishing magnetic field we obtain the critical coupling Jc = 1.42865(5) and verify this value with the χ 2-method. The universal value of Binder’s cumulant at this point is gr(Jc) = −1.94456(10). At the critical coupling we find the ...

We numerically investigate the three-dimensional O(6) model on 12 3 to 120 3 lattices. From Binder’s cumulant at vanishing magnetic field we obtain the critical coupling Jc = 1.42865(5) and verify this value with the χ 2-method. The universal value of Binder’s cumulant at this point is gr(Jc) = −1.94456(10). At the critical coupling we find the critical exponents ν = 0.818(5), β = 0.425(2) and γ = 1.604(6) from a finite size scaling analysis. We also determine the finite-size-scaling function on the critical line and the equation of state. Our O(6)-result for the equation of state is compared to the Ising, O(2) and O(4) results. 1. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/0301016v1.pdf

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text

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en

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XXIIIrd International Symposium on Lattice Field Theory

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The chiral transition of Nf = 2 QCD with fundamental

The chiral transition of Nf = 2 QCD with fundamental Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

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http://arxiv.org/pdf/hep-lat/0509010v2.pdf

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text

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en

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XXIIIrd International Symposium on Lattice Field Theory

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The chiral transition of Nf = 2 QCD with fundamental

The chiral transition of Nf = 2 QCD with fundamental Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/0509010v1.pdf

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text

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en

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J. Engels

J. Engels Minimize

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with two flavours of adjoint quarks

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Scaling and Goldstone effects in a QCD

Scaling and Goldstone effects in a QCD Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/0505008v1.pdf

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text

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en

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Title:

Equation of state and Goldstone-mode effects of the three-dimensional O(2) model

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We investigate numerically the three-dimensional O(2) model on 8 3 –160 3 lattices as a function of the magnetic field H. In the low-temperature phase we verify the H-dependence of the magnetization M induced by Goldstone modes and determine M for V → ∞ on the coexistence line both by extrapolation and by chiral perturbation theory. This enables...

We investigate numerically the three-dimensional O(2) model on 8 3 –160 3 lattices as a function of the magnetic field H. In the low-temperature phase we verify the H-dependence of the magnetization M induced by Goldstone modes and determine M for V → ∞ on the coexistence line both by extrapolation and by chiral perturbation theory. This enables us to calculate the corresponding critical amplitude. At Tc the critical scaling behaviour of the magnetization as a function of H is used to determine another critical amplitude. In both cases we find negative corrections-to-scaling. Our low-temperature results are well described by the perturbative form of the model’s magnetic equation of state, with coefficients determined nonperturbatively from our data. The O(2) scaling function for the magnetization is found to have a smaller slope than the one for the O(4) model. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/0006023v2.pdf

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text

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en

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