Equation of state for pure SU(3) gauge theory with renormalization group improved action
Equation of state for pure SU(3) gauge theory with renormalization group improved action
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DOI：
10.1103/physrevd.60.094510
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发表时间：
1999-05
影响因子：
5
通讯作者：
M. Okamoto;A. Khan;S. Aoki;R. Burkhalter;S. Ejiri;M. Fukugita;S. Hashimoto;N. Ishizuka;Y. Iwasaki;K. Kanaya;Tsuyoshi Kaneko;Y. Kuramashi;T. Manke;K. Nagai;M. Okawa;A. Ukawa;T. Yoshie
中科院分区：
文献类型：
--
作者：
M. Okamoto;A. Khan;S. Aoki;R. Burkhalter;S. Ejiri;M. Fukugita;S. Hashimoto;N. Ishizuka;Y. Iwasaki;K. Kanaya;Tsuyoshi Kaneko;Y. Kuramashi;T. Manke;K. Nagai;M. Okawa;A. Ukawa;T. Yoshie
纯SU~3状态方程的格点研究！规范理论的重整化群~RG！提出了改进措施。采用积分方法计算了16 3 3 4和a3 2 3 38点阵上的能量密度和压强。将结果外推到连续极限，我们发现能量密度和压力与标准元格作用量所得结果在3- 4%的误差范围内符合得很好。S0556-2821~99！07819-4#本文报道我们对纯SU~3状态方程连续极限的研究。从近似重整化群变元@7#确定了改进作用量的规范理论。对16334和32338两种晶格进行了模拟，用积分法计算了8#晶格的能量密度和压强，发现外推到连续极限的结果与文献2#中标准作用量的结果符合得很好。这为我们提供了一个交叉检查的连续极限的最终结果，也提供了支持的有效性假设背后的外推程序。本文的组织结构如下。节中第二部分，我们里泽了基本公式和我们的符号。我们的模拟的一些细节在第二节中给出。三.我们根据弦的张力（单位：秒）来确定温标的选择。四，并检查缩放的临界温度在秒。五.第二节第六部分给出了在Nt 54和8处得到的状态方程的结果及其连续外推。并将所得结果与标准作用量作了比较.节中第七章简要地讨论了用算子法@9#得到的结果.最后，我们在SEC中做一个简短的总结。八.
A lattice study of the equation of state for pure SU~3! gauge theory using a renormalization-group ~RG! improved action is presented. The energy density and pressure are calculated on a 16 3 3 4a nd a3 2 3 38 lattice employing the integral method. Extrapolating the results to the continuum limit, we find the energy density and pressure to be in good agreement with those obtained with the standard plaquette action within the error of 3-4 %.@S0556-2821~99!07819-4# In this article we report on our study of the continuum limit of the equation of state for pure SU~3! gauge theory with an improved action determined from an approximate renormalization-group argument @7#. Simulations are carried out on 16 3 34 and 32 3 38 lattices, and the energy density and pressure are calculated by the integral method @8# .W e find that the results extrapolated to the continuum limit agree well with those obtained from the standard action in Ref. @2#. This provides us with a crosscheck of the final results in the continuum limit, and also provide support for the validity of assumptions behind the extrapolation procedures. This paper is organized as follows. In Sec. II, we summa- rize the basic formulation and our notations. Some details of our simulations are given in Sec. III. We define our choice of the temperature scale in terms of the string tension in Sec. IV, and examine scaling of the critical temperature in Sec. V. In Sec. VI we present our results for equation of state ob- tained at Nt54 and 8, and their continuum extrapolation. A comparison of our results with those obtained from the stan- dard action is also made. In Sec. VII we briefly discuss re- sults obtained with the operator method @9#. We end with a brief conclusion in Sec. VIII.