Mon·Sep 27, 2004Monday·September 27, 2004

1. 01*

   The fourth root of the Kogut-Susskind determinant via infinite component fields

   Herbert Neuberger (Rutgers)🇺🇸

   An example of interpolation by means of local field theories between the case of normal Kogut-Susskind fermions and the case of keeping just the fourth root of the Kogut-Susskind determinant is given. For the fourth root trick to be a valid approximation certain limits need to be smooth. The question about the validity of the fourth root trick is not resolved, only cast into a local field theoretical framework.

   hep-lathep-phPRD(2004)·13 citations
2. 02*

   CP${}^{N-1}$ model with the theta term and maximum entropy method

   Masahiro Imachi🇯🇵 · Yasuhiko Shinno🇯🇵 · Hiroshi Yoneyama🇯🇵

   A $\theta$ term in lattice field theory causes the sign problem in Monte Carlo simulations. This problem can be circumvented by Fourier-transforming the topological charge distribution $P(Q)$. This strategy, however, has a limitation, because errors of $P(Q)$ prevent one from calculating the partition function $\mathcal{Z}(\theta )$ properly for large volumes. This is called flattening. As an alternative approach to the Fourier method, we utilize the maximum entropy method (MEM) to calculate $\mathcal{Z}(\theta )$. We apply the MEM to Monte Carlo data of the CP${}^3$ model. It is found that in the non-flattening case, the result of the MEM agrees with that of the Fourier transform, while in the flattening case, the MEM gives smooth $\mathcal{Z}(\theta )$.

   hep-latNucl.Phys.B Proc.Suppl.(2005)·1 citation

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.