5 papers
Avoiding the sign-problem in lattice field theory
Tobias Hartung, Karl Jansen, Hernan Leövey +1
In lattice field theory, the interactions of elementary particles can be computed via high-dimensional integrals. Markov-chain Monte Carlo (MCMC) methods based on importance sampli…
Applying recursive numerical integration techniques for solving high dimensional integrals
Andreas Ammon, Alan Genz, Tobias Hartung +3
The error scaling for Markov-Chain Monte Carlo techniques (MCMC) with samples behaves like . This scaling makes it often very time intensive to reduce the error of…
Disconnected diagrams with twisted-mass fermions
Abdou Abdel-Rehim, Constantia Alexandrou, Martha Constantinou +6
The latest results from the Twisted-Mass collaboration on disconnected diagrams at the physical value of the pion mass are presented. In particular, we focus on the sigma terms, th…
New polynomially exact integration rules on U(N) and SU(N)
Andreas Ammon, Tobias Hartung, Karl Jansen +2
In lattice Quantum Field Theory, we are often presented with integrals over polynomials of coefficients of matrices in U(N) or SU(N) with respect to the Haar measure. In some physi…
Overcoming the sign problem in 1-dimensional QCD by new integration rules with polynomial exactness
A. Ammon, T. Hartung, K. Jansen +2
In this paper we describe a new integration method for the groups and , for which we verified numerically that it is polynomially exact for . The method is ap…