N=1 Supersymmetric Yang-Mills Theory in Ito Calculus(Particles and Fields)

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概要

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• The stochastic quantization method is applied to N = 1 supersymmetric Yang-Mills theory, in particular in 4 and 10 dimensions. In the 4 dimensional case, based on Ito calculus, the Langevin equation is formulated in terms of the super field formalism. The stochastic process manifestly preserves both the global N = 1 supersymmetry and the local gauge symmetry. The expectation values of the local gauge invariant observables in SYM_4 are reproduced in the equilibrium limit. In the super field formalism, it is impossible in SQM to choose the so-called Wess-Zumino gauge in such a way to gauge away the auxiliary component fields in the vector multiplet, while it is shown that the time development of the auxiliary component fields is determined by the Langevin equations for the physical component fields of the vector multiplet in an "almost Wess-Zumino gauge". The physical component expressions of the super field Langevin equation are naturally extended to the 10 dimensional case, where the spinor field is Majorana-Weyl. By taking a naive zero volume limit of the SYM_<10>, the IIB matrix model is studied in this context.

• 一般社団法人日本物理学会の論文
• 2003-12-25

著者

• NAKAZAWA Nobuya

  Department of Physics,Kogakuin University

• NAKAZAWA Naohito

  Department of Physics, Shimane University

• Nakazawa Naohito

  High Energy Accelerator Research Organization (kek)

• NAKAZAWA Nobuya

  The Physics Laboratories, Harvard University

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