Applications of the Eigenmodes of the Staggered Dirac Operator

نویسنده

  • L. Venkataraman
چکیده

In a recent study [1] we successfully calculated the mass of the η meson using staggered fermions. According to conventional lore, the η′ receives a large portion of its mass from instanton effects. At the fermionic level, this would mean receiving contributions from zero modes of the Dirac operator. These zero modes come with a definite chirality in the continuum and are associated with the topological charge (Q) of a gauge configuration via the index theorem:

برای دانلود رایگان 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

ar X iv : h ep - l at / 9 71 00 86 v 1 2 4 O ct 1 99 7 1 Applications of the Eigenmodes of the Staggered Dirac Operator

We have constructed the lowest few eigenvectors of the staggered Dirac operator on SU (3) gauge configurations, both quenched and dynamical. We use these modes to study the topological charge and to construct approximate hadronic correlators.

متن کامل

The chiral condensate on two–flavor staggered configurations from an overlap operator

We measure the low lying eigenmodes of an overlap Dirac operator on 2–flavor staggered configurations. By comparing the eigenmode distribution to the predictions of Random Matrix Theory we test to what accuracy staggered configurations describe continuum QCD. The agreement between the numerical data and RMT implies that at our quark mass values the lattice artifacts of the staggered configurati...

متن کامل

at / 0 60 90 70 v 1 2 8 Se p 20 06 The chiral condensate on 2 – flavor staggered configurations from an overlap operator

We measure the low lying eigenmodes of an overlap Dirac operator on 2–flavor staggered configurations. By comparing the eigenmode distribution to the predictions of Random Matrix Theory we test to what accuracy staggered configurations describe continuum QCD. The agreement between the numerical data and RMT implies that at our quark mass values the lattice artifacts of the staggered configurati...

متن کامل

Lattice QCD at finite temperature : Evidence for calorons from the eigenvectors of the Dirac operator ∗

We analyze the eigenvalues and eigenvectors of the staggered Dirac operator in quenched lattice QCD in the vicinity of the deconfinement phase transition using the Lüscher-Weisz gauge action. The spectral and localization properties of the low-lying eigenmodes show characteristic differences between the Z3 sectors above the critical temperature Tc. These findings can be interpreted in terms of ...

متن کامل

The impact of localized overlap eigenmodes on RMT measurements and topology

The low energy eigenmodes of the continuum QCD Dirac operator are extended, but on the lattice, due to discretization effects, the Dirac operator can have localized eigenmodes. These nonphysical modes can introduce strong lattice artifacts for observables that are sensitive to chiral symmetry, especially in mixed action simulations. We study how these lattice artifacts depend on the parameters ...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997