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Andreas Ipp - Data tables

TU Wien

 

This page contains data-tables of recent publications.


<->  Thermodynamics of large-Nf QCD at Finite Chemical Potential


GIF
, EPS

Authors: Andreas Ipp, Anton Rebhan

e-Print: hep-ph/0305030
Report-no:
TUW-03-13

Abstract: We extend the previously obtained results for the thermodynamic potential of hot QCD in the limit of large number of fermions to non-vanishing chemical potential. [...]

 


GIF
, EPS

Pressure at T=0
Cutoff a=1/4 a=1/2 a=0.81
(P-P0)/Ng Data Data Data

(T=0, mubar=1, mu_q=1, g_eff^2=0 .. 40. First column is g_eff^2, second column is the pressure.)

1/2*Susceptibility at mu_q=0
Cutoff a=1/4 a=1/2
(\chi-\chi0)/Ng/2 Data Data

(T=1, mubar=\pi T, mu_q=0, g_eff^2=0 .. 40. First column is g_eff^2, second column is the pressure. Data give the second derivative of the pressure with respect to mu_q. To get the susceptibility multiply by 2.)

1/12*Higher Susceptibility at mu_q=0
Cutoff a=1/4 a=1/2
((d^2/d\mu^2)\chi-\chi0))/Ng/12 Data Data

(T=1, mubar=\pi T, mu_q=0, g_eff^2=0 .. 40. First column is g_eff^2, second column is the pressure. Data give the forth derivative of the pressure with respect to mu_q. To get the higher susceptibility multiply by 12.)

Further data tables from the paper will be available soon.


<->  Comment on and erratum to "Pressure of Hot QCD at Large Nf"


GIF
, EPS

Authors: Andreas Ipp, Guy D. Moore, Anton Rebhan

Published in: Journal of High Energy Physics, JHEP 01 (2003) 037
e-Print: hep-ph/0301057
Report-no: TUW-02-26

Abstract: We repeat and correct the calculations of the thermodynamic potential of hot QCD in the limit of large number Nf of fermions. [...]
 

PRESSURE

Combined a=1/4 a=1/2 a=0.81 Graphs
Complete result Data table Data Data Data GIF, EPS
"nf"-part Minkowski (transverse) Data table Data Data Data GIF, EPS
"nf"-part Minkowski (longitudinal) Data table Data Data Data GIF, EPS
"1/2"-part Euclidean (transverse and longitudinal combined) Data table Data Data Data GIF, EPS
Cutoff chosen Data table Data Data Data GIF, EPS

LANDAU POLE and FAC Table Graphs
Landau pole

Data

GIF, EPS
FAC perturbation theory Data GIF, EPS

GRAPHS FROM THE PAPER

Comparison pi Comparison mu Cutoff ambiguity

GIF
, EPS

GIF
, EPS

GIF
, EPS

Tables: The data tables give the pressure over the free pressure. The first column is the effective coupling g_eff^2 from 0 to 35 in steps of 0.25. The second column gives the normalized pressure with different cutoffs. In the combined tables, the second column shows a=1/4, the third column a=1/2 and the last column a=0.81.

Graphs: The graphs show the combined plots for different cutoffs. In the pressure plots, green corresponds to a=1/4, blue to a=1/2, and black to a=0.81.

Computational details: For values of g_eff^2 > 22.5, the cutoff is chosen at Lambda_Landau / 2 (a=1/4), Lambda_Landau / sqrt(2) (a=1/2), and 0.9 Lambda_Landau (a=0.81). For smaller values of g_eff^2, a constant cutoff is chosen at 28.2, 39.9, and 50.7 (which is the cutoff for g_eff^2=22.5). This cutoff affects the spatial q-integration in Minkowski space, and the 4-dimensional Q-integration in Euclidean space. In Minkowski space omega is integrated up to 40 for all g_eff^2. The lower bounds for q and omega in Minkowski space are chosen at 10^-8, and the range closer than 10^-9 to the light-cone q=omega is taken out of Minkowski integration. The results given are accurate to at least 4 or 5 digits.

 

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Last update: Feb 19, 2003
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Particle Physics Group TU Vienna

 

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2003, Andreas Ipp