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Physical Review D
Volumn 36, Issue 3, 1987, Pages 824-858
Langevin simulation of the full QCD hadron mass spectrum on a lattice
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EID: 33744607805     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.36.824     Document Type: Article
Times cited : (70)
References (92)
  • 25
    • 84927319002 scopus 로고    scopus 로고
    • Weingarten and Petcher (Ref. 8).
  • 26
    • 84927319001 scopus 로고    scopus 로고
    • In the hybrid method with the time step h, the Langevin time step Δ τL= h2 and the microcanonical time step Δ τMC=h. In order to ensure the ergodicity the condition Δ τLN >> 1, with N the number of times that the random noise is applied to the system, should be satisfied. This practically requires a huge number N> 105 for a time step h=0.01 chosen conventionally. This does not seem to be met in the simulations using the hybrid method presented so far (Ref. 7).
  • 27
    • 84927319000 scopus 로고    scopus 로고
    • An example is found in the results on the finite-temperature phase transition. When one compares the three analyses (i) by J. Polonyi et al. (microcanonical)
  • 28
    • 4243452889 scopus 로고
    • (ii) by R. V. Gavai (pseudofermion)
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 644
  • 29
    • 0040006688 scopus 로고
    • and (iii) by M. Fukugita and A. Ukawa (Langevin)
    • (1986) Nucl. Phys. , vol.269 B , pp. 530
  • 30
    • 4043051622 scopus 로고
    • all three data on the Polyakov line and the chiral order parameter agree very well except for the transition region. While the position of the transition region agrees between (i) and (iii), it is shifted upward by Δ β =0.06 in the data of (ii).
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 503
  • 40
    • 84927318999 scopus 로고    scopus 로고
    • Drummond et al.. (Ref. 13).
  • 55
    • 84927318998 scopus 로고    scopus 로고
    • Freie Universität Berlin report, 1986 (unpublished).
  • 71
    • 84927318997 scopus 로고    scopus 로고
    • The extrapolated value of the Wilson loop agrees with that calculated by a different algorithm of Ref. 23 on 63times 16 lattice with the antiperiodic boundary condition. The agreement is within 1–2% accuracy for any size L of the loop except at large L which suffers from large statistical errors. We acknowledge Philippe de Forcrand for providing the data.
  • 89
    • 84927318996 scopus 로고    scopus 로고
    • This has been speculated by Weingarten (Ref. 2).
  • 92
    • 84927318995 scopus 로고    scopus 로고
    • M. Engeli et al.., Mitteilungen aus dem Institut für angewandte Mathematik (Birkhäuser-Verlag, Berlin, 1959), Vol. 8, p. 79.

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.