Simulations in the epsilon-Regime of Chiral Perturbation Theory

Details Simulations in the epsilon-Regime of Chiral Perturbation Theory Simulations in the epsilon-Regime of Chiral Perturbation Theory

2003-09-12

arxiv.org/abs/hep-lat/0309051v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, poster presented at Lattice03(chiral)

Scientific paper

10.1016/S0920-5632(03)02627-6

We discuss the potential of Ginsparg-Wilson fermion simulations in the epsilon-regime of chiral perturbation theory, regarding the determination of the leading low energy constants of the effective chiral Lagrangian. It turns out to be very hard to measure observables in the topologically trivial sector. There a huge statistics would be required, due to the frequent occurrence of very small eigenvalues. Moreover, contact with chiral perturbation theory is only established if the physical volume of the system is sufficiently large.

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