A perturbative determination of O(a) boundary improvement coefficients for the Schrödinger Functional coupling at 1-loop with improved gauge actions
نویسندگان
چکیده
We perturbatively determine O(a) boundary improvement coefficients at 1-loop for the Schrödinger Functional coupling with improved gauge actions. These coefficients are required to implement the 1-loop O(a) improvement in full QCD simulations for the coupling with the improved gauge actions. To this order, lattice artifacts of the step scaling function (SSF) for each improved gauge action are also investigated. Furthermore, we investigate the effect of the 1-loop O(a) improvement to the SSF in numerical simulations of the pure SU(3) gauge theory.
منابع مشابه
Automatic generation of Feynman rules in the Schrödinger functional
We provide an algorithm to generate vertices for the Schrödinger functional with an abelian background gauge field. The background field has a non-trivial color structure, therefore we mainly focus on a manipulation of the color matrix part. We propose how to implement the algorithm especially in python code. By using python outputs produced by the code, we also show how to write a numerical ex...
متن کاملTwo loop lattice expansion of the Schrödinger functional coupling in improved QCD
The contributions of the improved fermion action of Sheikholeslami and Wohlert to the two loop coefficient of the expansion of the Schrödinger functional coupling in terms of the lattice coupling are calculated for the gauge group SU(3). These coefficients are required for the second order relation of lattice data to the MS-coupling. By taking into account all improvement coefficients we are ab...
متن کاملThe Schrödinger Functional for Improved Gluon and Quark Actions
The Schrödinger functional (quantum/lattice field theory with Dirichlet boundary conditions) is a powerful tool in the non-perturbative improvement and for the study of other aspects of lattice QCD. Here we adapt it to improved gluon and quark actions, on isotropic as well as anisotropic lattices. Specifically, we describe the structure of the boundary layers, obtain the exact form of the class...
متن کاملar X iv : 0 90 3 . 11 54 v 1 [ he p - la t ] 6 M ar 2 00 9 Universality of the N f = 2 Running Coupling in the Schödinger Functional Scheme
We investigate universality of the N f = 2 running coupling in the Schödinger functional scheme, by calculating the step scaling function in lattice QCD with the renormalization group (RG) improved gauge action at both weak(u = 0.9796) and strong(u = 3.3340) couplings, where u = ḡSF with ḡSF being the running coupling in this scheme. In our main calculations, we use the treelevel value for O(a)...
متن کاملar X iv : h ep - l at / 9 70 90 96 v 1 2 3 Se p 19 97 1 Further one - loop results in O ( a ) improved lattice QCD ∗
Recent work by the ALPHA collaboration has focused on non-perturbative renormalization and on-shell O(a) improvement of lattice QCD with Wilson quarks [1–7]. Various improvement coefficients could be determined as functions of the bare coupling g0, including the coefficient of the Sheikholeslami-Wohlert term in the lattice action [8]. While a non-perturbative determination of the improvement co...
متن کامل