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2006 Fiscal Year Final Research Report Summary

Topics in Superstring Perturbation Theory and Non-equilibrium Field Theory at Finite Temperatures

Research Project

Project/Area Number 15540286
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionKeio University

Principal Investigator

AOKI Kenichiro  Keio University, Faculty of Economics, Professor, 経済学部, 教授 (00251603)

Project Period (FY) 2003 – 2006
Keywordssuperstring theory / perturbation theory / cosmological constant / non-equilibrium / thermostats / temperature gradient / local equilibrium / linear response
Research Abstract

With E. D'Hoker and D. P. Phong, we obtained analytically the two loop contribution to the cosmological constant in superstring theory, in some asymmetric orbifold vacua of physics interest. At the time, there were claims that this vacua had zero cosmological constant to all orders in perturbation theory, possibly leading to a hitherto unknown mechanism for preserving zero cosmological constant in spacetimes with no supersymmetry. This feature would be quite desirable from a phenomenological point of view. There was no clear statement on this issue, mostly due to the technical difficulties involved. Through explicit computation, we showed that in the relevant case, the cosmological constant is non-zero at the two loop level, contributing to the resolution of this issue. To date, there seems to be no systematic way of constructing asymmetric orbifolds. As a relevant related issue, we also systematically analyzed how to construct asymmetric orbifolds.
Dynamics of non-equilibrium theories at finite temperatures is an important aspect of many fields in physics. However, there currently exist not that many quantitative results from first principles. With D. Kusnezov, H. Spohn and others, we have been computing the explicit behavior of physical quantities in non-equilibrium, from first principles. In particular, we have quantitatively shown how local equilibrium and linear response are broken under thermal gradients in some theories. Also, we elucidated the relationship between the microscopic aspects of the theory, such as Lyapunov exponents, and the macroscopic aspects of the theory, such as phase space dimensional loss and transport phenomena, under thermal gradients.
The results mentioned above have been published in refereed journals and we are preparing some more publications on them. Furthermore, we believe that the results we have obtained will serve as the basis for further research.

  • Research Products

    (11 results)

All 2007 2006 2004 2003 Other

All Journal Article (11 results)

  • [Journal Article] Momentum cumulants, local equilibrium and stochastic thermostats2007

    • Author(s)
      K.Aoki
    • Journal Title

      Physics Letters A (in press)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Energy Transport in Weakly Anharmonic Chains2006

    • Author(s)
      K.Aoki, J.Lukkarinen, H.Spohn
    • Journal Title

      Journal of Statistical Physics 124

      Pages: 1105-1129

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] On the construction of asymmetric orbifolds2004

    • Author(s)
      K.Aoki, Eric D'Hoker, D.H.Phong
    • Journal Title

      Nuclear Physics B 695

      Pages: 132-168

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Two-loop superstrings on orbifold compactifications2004

    • Author(s)
      X.Aoki, Eric D'Hoker, D.H.Phong
    • Journal Title

      Nuclear Physics B 688

      Pages: 3-69

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Spatial Distributions of Observables in Systems under Thermal Gradients2004

    • Author(s)
      K.Aoki, D.Kusnezov
    • Journal Title

      Physical Review E 70

      Pages: 051203 (8)

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Time-Reversible Deterministic Thermostats2004

    • Author(s)
      Wm.G.Hoover, K.Aoki, C.Hoover, S.de Groot
    • Journal Title

      Physica D 187

      Pages: 253-267

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] On the construction of asymmetric orbifolds2004

    • Author(s)
      K.Aoki, Eric D' Hoker, D.H.Phong
    • Journal Title

      Nuclear Physics B 695

      Pages: 132-168

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Two-loop superstrings on orbifold compactifications2004

    • Author(s)
      K.Aoki, Eric D'Hoker, D.H.Phong
    • Journal Title

      Nuclear Physics B 688

      Pages: 3-69

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Lyapunov exponents, transport and the extensivity of dimensional loss in thermal gradients2003

    • Author(s)
      K.Aoki, D.Kusnezov
    • Journal Title

      Physical Review E 68

      Pages: 0562041 (6)

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Violations of Local Equilibrium and Linear Response in Classical Lattice Systems2003

    • Author(s)
      K.Aoki, D.Kusnezov
    • Journal Title

      Physics Letters A 309

      Pages: 377-381

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Momentum cumulants, local equilibrium andstochastic thermostats

    • Author(s)
      K.Aoki
    • Journal Title

      Physics Letters A (In press)

    • Description
      「研究成果報告書概要(和文)」より

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Published: 2008-05-27  

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