QCD at fixed topology

Brower, Richard C.; Chandrasekharan, Shailesh; Negele, John W.; Wiese, U.‐J.

doi:10.1016/s0370-2693(03)00369-1

Cited by 181 publications

(310 citation statements)

References 10 publications

Supporting

Mentioning

295

Contrasting

Unclassified

Order By: Relevance

“…10 we show the pseudoscalar mass for various charge sectors, where the charge Q is given by the index ν of D N . We observe a strong increase of δ with increasing |Q|, and contrary to the findings in [28], we do not expect the effect to go away in the limit V → ∞, χ t fixed. It would be interesting to search other quantities for a |Q|-dependence as well.…”

Section: Pion Masscontrasting

confidence: 99%

See 1 more Smart Citation

Hadron spectrum, quark masses, and decay constants from light overlap fermions on large lattices

et al. 2007

View full text Add to dashboard Cite

We present results from a simulation of quenched overlap fermions with Lüscher-Weisz gauge field action on lattices up to 24 3 48 and for pion masses down to ≈ 250 MeV. Among the quantities we study are the pion, rho and nucleon masses, the light and strange quark masses, and the pion decay constant. The renormalization of the scalar and axial vector currents is done nonperturbatively in the RI − M OM scheme. The simulations are performed at two different lattice spacings, a ≈ 0.1 fm and ≈ 0.15 fm, and on two different physical volumes, to test the scaling properties of our action and to study finite volume effects. We compare our results with the predictions of chiral perturbation theory and compute several of its low-energy constants. The pion mass is computed in sectors of fixed topology as well.

show abstract

Section: Pion Masscontrasting

confidence: 99%

“…The traditional value is Λ χ = 4πf 0 , which we will also adopt here. For the parameter δ chiral perturbation theory predicts [22,23] are known from our fit of f P S and are given in (28).…”

Section: Pion Massmentioning

confidence: 99%

Hadron spectrum, quark masses, and decay constants from light overlap fermions on large lattices

et al. 2007

View full text Add to dashboard Cite

show abstract

“…Expanding the vacuum energy as f (θ) = c 2 θ 2 /2 + c 4 θ 4 /4! · · · and performing the saddle-point integration order by order, one can investigate how the topology affects the physical quantities and evaluate the difference between the physics between the θ vacuum and the one at fixed topology [11,12]. Inversely, it is also possible to determine the vacuum energy of QCD as a power series of θ, from the physical observables at fixed topology.…”

Section: Introductionmentioning

confidence: 99%

“…[11,12], a general formula to O(1/V 2 ) is calculated which converts the observables at fixed topology to those in θ = 0 vacuum treating c 2 , c 4 , · · · as unknown parameters. It is, therefore, an important task to calculate these parameters within QCD or the low energy effective theory to quantify the effects of fixing topology.…”

Section: Introductionmentioning

confidence: 99%

Chiral perturbation theory in aθvacuum

2010

View full text Add to dashboard Cite

We consider chiral perturbation theory with a nonzero θ term. Because of the CP violating term, the vacuum of chiral fields is shifted to a nontrivial element on the SU (N f ) group manifold. The CP violation also provides mixing of different CP eigenstates, between scalar and pseudoscalar, or vector and axialvector operators. We investigate upto O(θ 2 ) effects on the mesonic two-point correlators of chiral perturbation theory to the one-loop order. We also address the effects of fixing topology, by using saddle-point integration in the Fourier transform with respect to θ.

show abstract

“…[47]. While this prevents us from sampling different topological sectors in a single simulation, the expectation values of physical observables in the QCD vacuum can be estimated by simulations in fixed topological sectors [48,49].…”

Section: Introductionmentioning

confidence: 99%

Two-flavor QCD simulation with exact chiral symmetry

et al. 2008

View full text Add to dashboard Cite

We perform numerical simulations of lattice QCD with two flavors of dynamical overlap quarks, which have exact chiral symmetry on the lattice. While this fermion discretization is computationally demanding, we demonstrate the feasibility to simulate reasonably large and fine lattices by a careful choice of the lattice action and algorithmic improvements. Our production runs are carried out on a 16 3 × 32 lattice at a single lattice spacing around 0.12 fm. We explore the sea quark mass region down to m s /6, where m s is the physical strange quark mass, for a good control of the chiral extrapolation in future calculations of physical observables. We describe in detail our setup and algorithmic properties of the production simulations and present results for the static quark potential to fix the lattice scale and the locality of the overlap operator.

show abstract

QCD at fixed topology

Cited by 181 publications

References 10 publications

Hadron spectrum, quark masses, and decay constants from light overlap fermions on large lattices

Hadron spectrum, quark masses, and decay constants from light overlap fermions on large lattices

Chiral perturbation theory in aθvacuum

Two-flavor QCD simulation with exact chiral symmetry

Contact Info

Product

Resources

About