Low-energy couplings of QCD from topological zero-mode wave functions
TLDR
By matching 1/m(2) divergences in finite-volume two-point correlation functions of the scalar or pseudoscalar densities with those obtained in chiral perturbation theory, this paper derived a relation between the Dirac operator zero-mode eigenfunctions at fixed non-trivial topology and the low-energy constants of QCD.Abstract:
By matching 1/m(2) divergences in finite-volume two-point correlation functions of the scalar or pseudoscalar densities with those obtained in chiral perturbation theory, we derive a relation between the Dirac operator zero-mode eigenfunctions at fixed non-trivial topology and the low-energy constants of QCD. We investigate the feasibility of using this relation to extract the pion decay constant, by computing the zero-mode correlation functions on the lattice in the quenched approximation and comparing them with the corresponding expressions in quenched chiral perturbation theory.read more
Citations
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theta dependence of SU(N) gauge theories in the presence of a topological term
TL;DR: In this article, the authors review results concerning the θ dependence of 4D S U (N ) gauge theories and QCD, where θ is the coefficient of the CP-violating topological term in the Lagrangian.
Journal ArticleDOI
Theta dependence of SU(N) gauge theories in the presence of a topological term
TL;DR: In this paper, a review of results concerning the theta dependence of 4D SU(N) theories and QCD is presented, where theta is the coefficient of the CP-violating topological term in the Lagrangian.
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Low-energy couplings of QCD from current correlators near the chiral limit
TL;DR: In this paper, a new numerical procedure was proposed to compute fermionic correlation functions at very small quark masses, where large statistical fluctuations, due to the presence of local ''bumps'' in the wave functions associated with the low-lying eigenmodes of the Dirac operator, are reduced by an exact low-mode averaging.
A Method for Simulating Chiral Fermions on the Lattice Submitted to Physics Letters B
TL;DR: In this article, a lattice theory of massive interacting fermions in 2n + 1 dimensions was used to simulate the behaviour of massless chiral fermion in 2 n dimensions if the mass has a step function shape in the extra dimension.
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Overlap hypercube fermions in QCD simulations near the chiral limit
TL;DR: In this paper, the authors apply this formulation in quenched QCD simulations with light quarks and evaluate the masses of light pseudoscalar and vector mesons, as well as the pion decay constant and the renormalisation constant Z A.
References
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Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark
Jürg Gasser,Heinrich Leutwyler +1 more
TL;DR: In this paper, the authors construct the generating functional of U(3)×U(3), which allows them to calculate the Green functions up to and including terms of order p4 (at fixed radio m quark p 2 ) in terms of a few coupling constants which chiral symmetry leaves undetermined.
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Exactly massless quarks on the lattice
TL;DR: In this article, the fermion determinant for a vector-like gauge theory with strictly massless quarks is represented on the lattice as det 1+V 2, where V=X(X † X) −1/2 and X is the Wilson-Dirac lattice operator with a negative mass term.
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A Method for simulating chiral fermions on the lattice
TL;DR: In this article, a lattice theory of massive interacting fermions in 2 n + 1 dimensions was used to simulate the behavior of massless chiral fermion in 2n dimensions if the mass has a step function shape in the extra dimension.
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A Remnant of Chiral Symmetry on the Lattice
Paul Ginsparg,Kenneth G. Wilson +1 more
TL;DR: In this article, a new chiral symmetry criterion for lattice theories of fermions is derived within a block-spin formalism, which properly incorporates the Adler Bell-Jackiw anomaly and avoids the fermion-doubling problem of other lattice methods.
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A new way to set the energy scale in lattice gauge theories and its application to the static force and σs in SU (2) Yang-Mills theory
TL;DR: In this article, the authors introduced a hadronic scale R0 through the force F(r) between static quarks at intermediate distances r. Since R0 is well defined and can be calculated accurately in a Monte Carlo simulation, it is an ideal quantity to set the scale.