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Using quenched chiral perturbation theory, we compute the long-distance behaviour of two-point functions of flavour non-singlet axial and vector currents in a finite volume, for small quark masses, and at a fixed gauge-field topology. We…

高能物理 - 格点 · 物理学 2010-04-05 P. H. Damgaard , P. Hernandez , K. Jansen , M. Laine , L. Lellouch

Chiral perturbation theory gives direct and unambiguous predictions for the form of various two-point hadronic correlators at low momentum in terms of a finite set of couplings in a chiral Lagrangian. In this paper we study the feasibility…

高能物理 - 格点 · 物理学 2016-09-01 A. Duncan , S. Pernice , J. Yoo

We calculate vector-vector correlation functions at two loops using partially quenched chiral perturbation theory including finite volume effects and twisted boundary conditions. We present expressions for the flavor neutral cases and the…

高能物理 - 格点 · 物理学 2018-01-17 Johan Bijnens , Johan Relefors

Using quenched chiral perturbation theory we compute meson correlation functions at finite volume and fixed gauge field topology. We also present the corresponding analytical predictions for the unquenched theory at fixed gauge field…

高能物理 - 格点 · 物理学 2008-11-26 P. H. Damgaard , M. C. Diamantini , P. Hernandez , K. Jansen

We perform a calculation of the isospin and hypercharge vector current propagators ($\Delta_{V33}^{\mu\nu}(q^2)$ and $\Delta_{V88}^{\mu\nu}(q^2)$) to two loops in chiral perturbation theory. The analysis is carried out with straightforward…

高能物理 - 唯象学 · 物理学 2009-10-28 Eugene Golowich , Joachim Kambor

We compute finite-volume corrections to nucleon matrix elements of the axial-vector current. We show that knowledge of this finite-volume dependence --as well as that of the nucleon mass-- obtained using lattice QCD will allow a clean…

高能物理 - 唯象学 · 物理学 2014-11-17 Silas R. Beane , Martin J. Savage

The chiral limit of finite-volume QCD is the $\epsilon$-regime of the theory. We discuss how this regime can be used for determining low-energy observables of QCD by means of comparisons between lattice simulations and quenched and…

高能物理 - 格点 · 物理学 2016-09-01 P. H. Damgaard

We perform a calculation of the isospin and hypercharge axialvector current propagators to two loops in SU(3)xSU(3) chiral perturbation theory. A large number of order p^6 divergent counterterms are fixed, and complete two-loop renormalized…

高能物理 - 唯象学 · 物理学 2009-10-30 Eugene Golowich , Joachim Kambor

Random matrix theory and chiral Lagrangians offer a convenient tool for the exact calculation of microscopic spectral correlators of the Dirac operator in a well-defined finite-volume scaling regime.

高能物理 - 格点 · 物理学 2009-10-31 P. H. Damgaard

We apply the finite-element lattice equations of motion for quantum electrodynamics given in the first paper in this series to examine anomalies in the current operators. By taking explicit lattice divergences of the vector and axial-vector…

高能物理 - 唯象学 · 物理学 2009-09-25 Dean Miller , Kimball A. Milton , Stephan Siegemund-Broka

Quark-meson duality for two-point functions of vector and axial-vector QCD currents is investigated in the large-Nc approximation. We find that the joint constraints of duality and chiral symmetry imply degeneracy of excited vector and…

高能物理 - 唯象学 · 物理学 2009-11-07 S. R. Beane

A method for computing all-point quark propagators is applied to a variety of processes of physical interest in lattice QCD. The method allows, for example, efficient calculation of disconnected parts and full momentum-space 2 and 3 point…

高能物理 - 格点 · 物理学 2015-06-25 A. Duncan , E. Eichten , J. Yoo

We consider the thermal correlation functions of vector and axial-vector currents and evaluate corrections to the vector and axial-vector meson pole terms to one loop in chiral perturbation theory. As expected, the pole positions do not…

高能物理 - 唯象学 · 物理学 2011-09-13 S. mallik , Sourav Sarkar

We investigate two-point correlation functions of left-handed currents computed in quenched lattice QCD with the Neuberger-Dirac operator. We consider two lattice spacings a~0.09,0.12 fm and two different lattice extents L~ 1.5, 2.0 fm;…

高能物理 - 格点 · 物理学 2010-02-03 L. Giusti , P. Hernandez , S. Necco , C. Pena , J. Wennekers , H. Wittig

We compute finite volume effects relevant for lattice QCD simulations using background fields. Focusing on constant electric and magnetic fields on a periodic lattice, we determine volume corrections to pion two-point functions using chiral…

高能物理 - 格点 · 物理学 2009-05-18 Brian C. Tiburzi

We extend our previous formulation of low-energy QCD in terms of an effective lagrangian containing operators of dimensionality $d\le 6$ constructed with pseudoscalars and quark fields, describing physics below the scale of chiral symmetry…

高能物理 - 唯象学 · 物理学 2009-10-31 A. A. Andrianov , D. Espriu

We present an extension of the string-inspired technique suitable to the calculation of amplitudes and effective Lagrangians involving both vector and axial vector gauge fields. The technique is easily adaptable to problems involving…

高能物理 - 唯象学 · 物理学 2007-05-23 Christian Schubert

As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions. In our approach gauge invariance is broken, but it is…

高能物理 - 格点 · 物理学 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

The behavior of nonperturbative parts of the isovector-vector and isovector and isosinglet axial-vector correlators at Euclidean momenta is studied in the framework of a covariant chiral quark model with nonlocal quark-quark interactions.…

高能物理 - 唯象学 · 物理学 2009-11-10 A. E. Dorokhov , W. Broniowski

In the chiral limit of QCD, the pion decay constant F can be extracted from lattice gauge theory by means of a coupling to isospin chemical potential. Here we compute the leading correction due to finite volume in the epsilon-expansion of…

高能物理 - 格点 · 物理学 2008-11-26 Poul H. Damgaard , Thomas DeGrand , Hidenori Fukaya
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