New Progress in the Study of High Energy Non-Linear Phenomena

  • Classical Chromodynamics has chaos solution. But quantum chaos is a very difficult theoretical problem. Therefore, at present the non-linear study in high energy physics can only be carried on using phenomenological methods. By the end of eighties, large local fluctuations were observed in experiments, which stimulated extensive study on high energy non-linear phenomena—intermittency and fractal. It was observed experimentally that l-dimensional factorial moments tend to saturate. This was explained as the result of projechon of higher-dimensional intermittency into lower dimension. However, even in 3-dimension the factorial moments do not obey a strict scaling law. ms difficulty has brought the study to a standstill. Later, it was recognized that the reason lies in the fact that the phase space of high energy multiparticle final states is highly anisotuopy and therefore the corresponding fractal is self-affine. The anomalous scaling can be observed when and only when the phase space is divided in a correct anisotropical way. Thi predichon has been verified in the experimental data from NA22 and NA27. The anomalous scaling in these experiments has been observed successfully, making a breakthrough in high energy non-linear study. This progress is reviewed in mis paper together with some comments and discussions.
  • 加载中
  • [1] l Matinyan S G. Soy. J. Part. Nucl., 1985, 16:226 2 Milller B, Trayanov A. Phys. Rev. Lett., 1992, 68:3387; Gong C. Phys. Lett., 1993, B298:257;Phys. Rev.,1994, D49: 2642 3 Veneziano G Proc. 3rd Workshop on Current Problems in High Energy Particle Theory, Florence 1979, In:Casalbuoni R et al. Baltimore' Johns Hopkins Univ. Press, 1979. 45 4 Burnett T H et al. (JACEE), Phys. Rev. Lett., 1983 50:2062 5 Adamus .M et al. (NA22), Phys. Lett. 1987, B185.200 6 Bialas A, Peschanski R Nucl. Phys., 1986, B273:703, 1988, B308:8577 De Wolf E A, Demin I M, Kittel W. Phys. Rep., 1996, 270: 18 Agababyan N M et al. (NA22), Z. Phys., 1993, C59:4059 Ochs W. Phys. Lett., 1990, B247: 101 10 Wu Yuanfang, Liu Lianshou. Phys. Rev. Lett., 1993, 70:319711 Van Hove L Phys. Lett., 1969, 28B: 429 12 Mandelbrot B. The Fractal Geometry of NatUre, Freeman, NY, 1982 13 Vicsek T. Fthetal Growth Phenomena World Scienhfic, Singapore, 198914 Wu Yuanfang, Zhang Yang, Liu Lianshou. Phys. Rev., 1995, D51:657615 Wu Yuanfang, Liu Lianshou. Science in China (in Chinese) 1995, A38.435(吴元芳 刘连寿. 中国科学, 1994, A24: 1299)16 Agababyan N M et al. (NA12), Phys. Lett., 1996, B382:305 17 Agababyan N M et al. (NA22), Phys. Lett. 1998 accepted 18 Wang Shaoshun, Wang Zhaomin, Wu Chong, Phys. Lett, 1997, B410:323 19 Aguilar–Beintez M et al. Nucl. Instrum. Methods, 1983, 205:79 20 Liu Lianshou, Zhang Yang, Deng Yue. Z. Phys., 1997, C73:53521 Liu Lianshou Zhang Yang, Wu Yuanfang, Z. Phys., 1996, C69:323 22 Liu Lianshou, Chen Gang, Gao Yanmin. On the Factorial Moment Analysis with Non–integer PartitionNumber, Submitted to European J. of Phys.23 Aguilar–Benitez M et al. (NA27), Z. Phys., 1986, C31:491; 1989, C40:321; 1989, C44:531; 1991, C50:405 24 Paladin G Vulpiani A. Phys. Rep., 1987, 156: 147 25 Agababyan N M et al. (NA22), The Self–affine Multi–fractal Spectral Funchon in 250 GeV/ cπ+p and K+ pCollisions, to be published in Phys. Lett., B 26 Dremin I M. Mod. Phys. Lett., 1988, A3: 1333 27 Carruthus P. Ap J., 1991, 380:24; Lipa P, Carruthus P, Eggers H C, Buschbeck B. Phys. Lett., 1992, B285:300 28 Gyulassy M, Kauffmann S K, Wilson L W. Phys. Rev., 1979, C20:2267; Chapman S, Scotto P, Heinz U.Phys. Rev. Lett., 1995, 72:4400, and the papers cited therein 29 Kittel W. Talk Given at the Workshop on Density Fluctuahons in Multiparticle Produchon, 1998 Wuhan 30 Bialas A. NucI. Phys., 1992, A545:285; Acta Phys. Pol., 1992, B23:561 31 Abreu P (DELPHI). Nucl. Phys., 1992, B386:471
  • 加载中

Get Citation
Liu Lianshou. New Progress in the Study of High Energy Non-Linear Phenomena[J]. Chinese Physics C, 1999, 23(2): 165-175.
Liu Lianshou. New Progress in the Study of High Energy Non-Linear Phenomena[J]. Chinese Physics C, 1999, 23(2): 165-175. shu
Milestone
Received: 1998-05-28
Revised: 1900-01-01
Article Metric

Article Views(2962)
PDF Downloads(573)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

New Progress in the Study of High Energy Non-Linear Phenomena

    Corresponding author: Liu Lianshou,
  • Institute of Particle Physics, Huazhong Normal University Wuhan 430079

Abstract: Classical Chromodynamics has chaos solution. But quantum chaos is a very difficult theoretical problem. Therefore, at present the non-linear study in high energy physics can only be carried on using phenomenological methods. By the end of eighties, large local fluctuations were observed in experiments, which stimulated extensive study on high energy non-linear phenomena—intermittency and fractal. It was observed experimentally that l-dimensional factorial moments tend to saturate. This was explained as the result of projechon of higher-dimensional intermittency into lower dimension. However, even in 3-dimension the factorial moments do not obey a strict scaling law. ms difficulty has brought the study to a standstill. Later, it was recognized that the reason lies in the fact that the phase space of high energy multiparticle final states is highly anisotuopy and therefore the corresponding fractal is self-affine. The anomalous scaling can be observed when and only when the phase space is divided in a correct anisotropical way. Thi predichon has been verified in the experimental data from NA22 and NA27. The anomalous scaling in these experiments has been observed successfully, making a breakthrough in high energy non-linear study. This progress is reviewed in mis paper together with some comments and discussions.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return