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T. Scheideler

Publications and source records attributed to T. Scheideler.

9 recordsLinked to original sources
arXiv1999

Determination of Anisotropy Coefficients for SU(3) Gauge Actions from the Integral and Matching Methods

We use two non-perturbative methods to obtain the anisotropy derivatives of the coupling constants (the anisotropy coefficients) of SU(3) lattice gauge theory. These coefficients appear in the derivative formulae for the energy density and the pressure. We calculate them for the standard Wilson and two improved actions, the 2x2 and the Square Symanzik action. Both methods lead for all investigated actions to compatible results which are clearly different from their known asymptotic perturbative limits. With increasing beta the limits are however approached in all cases. Our findings strongly support the equivalence of the integral and derivative methods for the calculation of energy density and pressure.

hep-lat↗
arXiv1998

The Calculation of Critical Amplitudes in SU(2) Lattice Gauge Theory

We calculate the critical amplitudes of the Polyakov loop and its susceptibility at the deconfinement transition of (3+1) dimensional SU(2) gauge theory. To this end we study the corrections due to irrelevant exponents in the scaling functions. As a guiding line for determining the critical amplitudes we use envelope equations which we derive from the finite size scaling formulae of the observables. We have produced new high precision data on N^3 x 4 lattices for N=12,18,26 and 36. With these data we find different corrections to the asymptotic scaling behaviour above and below the transition. Our result for the universal ratio of the susceptibility amplitudes is C_+/C_-=4.72(11) and thus in excellent agreement with a recent measurement for the 3d Ising model.

hep-lat↗
arXiv1998

Corrections to Scaling and Critical Amplitudes in SU(2) Lattice Gauge Theory

We calculate the critical amplitudes of the Polyakov loop and its susceptibility at the deconfinement transition of SU(2) gauge theory. To this end we carefully study the corrections to the scaling functions of the observables coming from irrelevant exponents. As a guiding line for determining the critical amplitudes we use envelope equations derived from the finite size scaling formulae for the observables. The equations are then evaluated with new high precision data obtained on N^3 x 4 lattices for N=12,18,26 and 36. We find different correction-to-scaling behaviours above and below the transition. Our result for the universal ratio of the susceptibility amplitudes is C_+/C_-=4.72(11) and agrees perfectly with a recent measurement for the 3d Ising model.

hep-lat↗
arXiv1996

The Pseudo Specific Heat in SU(2) Gauge Theory : Finite Size Dependence and Finite Temperature Effects

We investigate the pseudo specific heat of SU(2) gauge theory near the crossover point on $4^4$ to $16^4$ lattices. Several different methods are used to determine the specific heat. The curious finite size dependence of the peak maximum is explained from the interplay of the crossover phenomenon with the deconfinement transition occurring due to the finite extension of the lattice. We find, that for lattices of size $8^4$ and larger the crossover peak is independent of lattice size at $β_{co}=2.23(2)$ and has a peak height of $C_{V,co}=1.685(10)$. We conclude therefore that the crossover peak is not the result of an ordinary phase transition. Further, the contributions to $C_V$ from different plaquette correlations are calculated. We find, that at the peak and far outside the peak the ratio of contributions from orthogonal and parallel plaquette correlations is different. To estimate the finite temperature influence on symmetric lattices far off the deconfinement transition point we calculate the modulus of the lattice average of the Polyakov loop on these lattices and compare it to predictions from a random walk model.

hep-lat↗
arXiv1996

A Study of Finite Temperature Gauge Theory in (2+1) Dimensions

We determine the critical couplings and the critical exponents of the finite temperature transition in SU(2) and SU(3) pure gauge theory in (2+1) dimensions. We also measure Wilson loops at $T=0$ on a wide range of $β$ values using APE smearing to improve the signal. We extract the string tension $σ$ from a fit to large distances, including a string fluctuation term. With these two entities we calculate $T_c/\sqrtσ$.

hep-lat↗
arXiv1996

Finite size analysis of the pseudo specific heat in SU(2) gauge theory

We investigate the pseudo specific heat of SU(2) gauge theory near the crossover point on $4^4$ to $16^4$ lattices. Several different methods are used to determine the specific heat. The curious finite size dependence of the peak maximum is explained from the interplay of the crossover phenomenon with the deconfinement transition occurring due to the finite extension of the lattice. In this context we calculate the modulus of the lattice average of the Polyakov loop on symmetric lattices and compare it to the prediction from a random walk model.

hep-lat↗
arXiv1995

Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the $χ^2$-method

We determine the critical point and the ratios $β/ν$ and $γ/ν$ of critical exponents of the deconfinement transition in $SU(2)$ gauge theory by applying the $χ^2$-method to Monte Carlo data of the modulus and the square of the Polyakov loop. With the same technique we find from the Binder cumulant $g_r$ its universal value at the critical point in the thermodynamical limit to $-1.403(16)$ and for the next-to-leading exponent $ω=1\pm0.1$. From the derivatives of the Polyakov loop dependent quantities we estimate then $1/ν$. The result from the derivative of $g_r$ is $1/ν=0.63\pm0.01$, in complete agreement with that of the $3d$ Ising model.

hep-lat↗