Topology and Low Lying Fermion Modes

نویسنده

  • Robert G. Edwards
چکیده

Low lying fermionic modes are believed to play an important rôle in QCD. This review covers some of the recent developments in the study of the relationship of low lying fermion modes with topology in QCD. The study of topology in general is not covered here. In particular, fermionic eigenmodes (including zero modes) are important in 3 areas discussed here: (1) low lying modes in particle spectrum, (2) low lying modes in global topology (e.g., chiral fermions), (3) low lying modes in the implementation of chiral fermions. The use of fermionic modes to probe for possible mechanism of chiral symmetry breaking in QCD are possible. The recent advent of the construction of chiral fermions on the lattice are crucial in new studies.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Effects of low-lying fermion modes in the ǫ-regime

We investigate the effects of low-lying fermion modes on the QCD partition function in the ǫ-regime. With the overlap Dirac operator we calculate several tens of low-lying fermion eigenvalues on the quenched lattice. By partially incorporating the fermion determinant through the truncated determinant approximation, we calculate the partition function and other related quantities for Nf = 1 and ...

متن کامل

Low-lying Dirac eigenmodes and monopoles in 3+1D compact QED

We study the properties of low-lying Dirac modes in quenched compact QED at β = 1.01, employing 12 ×Nt (Nt = 4, 6, 8, 10, 12) lattices and the overlap formalism for the fermion action. We pay attention to the spatial distributions of low-lying Dirac modes below/above the “phase transition temperature” Tc. Near-zero modes are found to have universal anticorrelations with monopole currents, and a...

متن کامل

Low-lying Fermion Modes of N F = 2 Improved Wilson Fermions

We present preliminary results for the topological charge and susceptibility determined from the low-lying eigenmodes of the Wilson-Dirac operator. These modes have been computed on dynamical configurations with N f = 2 non-perturbatively improved Wilson fermions. We compare our results with the eigenmodes of fermions in the quenched approximation.

متن کامل

Quantum vacua: Momentum space topology of fermion zero modes

Quantum vacua are characterized by the topological structure of their fermion zero modes. The vacua are distributed into universality classes protected by topology in momentum space. The vacua whose manifold of fermion zero modes has co-dimension 3 are of special interest because in the low-energy corner the fermionic excitations become the Weyl relativistic chiral fermions, while the dynamical...

متن کامل

Low-lying mode contribution to the quenched meson correlators in the ǫ-regime

We present a quenched calculation of meson correlators with the overlap fermion at very small masses 2.6–13 MeV. In this region the pion Compton wavelength is larger than our lattice size (L ≃ 1.23 fm) and the system is in the so-called ǫ-regime of chiral perturbation theory. We found that the scalar and pseudo-scalar correlators are precisely approximated by a few hundred low-lying fermion eig...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001