ویراساینس.
سند علمی

Sign problem and MEM in lattice field theory with the θ term

Masahiro Imachi, Yasuhiko Shinno, Hiroshi Yoneyama, H. Yoneyama

چکیده

Lattice field theory with a θ term suffers from the sign problem. The sign problem appears as flattening of the free energy. As an alternative way to the conventional method, the Fourier transform method (FTM), we apply the maximum entropy method (MEM) to Monte Carlo data of the CP model with the θ term. For the data without flattening, we obtain the most probable images of the partition function Ẑ(θ) with rather small errors, which are almost in agreement with the result of the FTM. Based upon this, we systematically investigate flattening in terms of the MEM.

اسناد مشابه

  • Approaches to the sign problem in lattice field theory

    مقاله‌ی دسترسی آزاد۲۰۱۶International Journal of Modern Physics AChristofGattringer, KurtLangfeld

  • The aliasing problem in lattice field theory

    سند علمی۲۰۰۴John P. Costella

    The intrinsically nonlinear nature of quantum field theory provides a fundamental complication for lattice calculations, when the physical implications of the subtleties of Fourier theory are taken into account. Even though the fundamental fields are constrained to the first Bril

  • 2 00 4 The aliasing problem in lattice field theory

    سند علمی۲۰۰۴John P. Costella

    The intrinsically nonlinear nature of quantum field theory provides a fundamental complication for lattice calculations, when the physical implications of the subtleties of Fourier theory are taken into account. Even though the fundamental fields are constrained to the first Bril

  • New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble

    مقاله‌ی دسترسی آزاد۲۰۱۲Physical Review DMarcoCristoforetti, FrancescoDi Renzo, LuigiScorzato

  • The Sign Problem and MEM in Lattice Field Theory with the θ Term

    سند علمی۲۰۰۶Masahiro Imachi, Yasuhiko Shinno, Hiroshi Yoneyama, H. Yoneyama

    Lattice field theory with the θ term suffers from the sign problem. The sign problem appears as flattening of the free energy. As an alternative to the conventional method, the Fourier transform method (FTM), we apply the maximum entropy method (MEM) to Monte Carlo data obtained

  • Lattice Field Theory with the Sign Problem and the Maximum Entropy Method

    سند علمی۲۰۰۷Masahiro IMACHI, Yasuhiko SHINNO, Hiroshi YONEYAMA

    Although numerical simulation in lattice field theory is one of the most effective tools to study non-perturbative properties of field theories, it faces serious obstacles coming from the sign problem in some theories such as finite density QCD and lattice field theory with the θ