Automatic O(a) improvement for twisted-mass QCD in the presence of spontaneous symmetry breaking
Sinya Aoki, Oliver Bar
Abstract
In this paper we present a proof for automatic O(a) improvement in twisted mass lattice QCD at maximal twist, which uses only the symmetries of the leading part in the Symanzik effective action. In the process of the proof we clarify that the twist angle is dynamically determined by vacuum expectation values in the Symanzik theory. For maximal twist according to this definition, we show that scaling violations of all quantities which have non-zero values in the continuum limit are even in a. In addition, using Wilson Chiral Perturbation Theory (WChPT), we investigate this definition for maximal twist and compare it to other definitions which were already employed in actual simulations.
Create a lesson
Related papers
Efficient Quantum Simulations of Yang-Mills theory with Maximal-tree Gauge
Tianyin Li, Ying-Ying Li, Xiaoyang Wang et al.
Physics-informed quantum algorithms for glueball-like excitations in a Z2 lattice gauge theory
Dan-Bo Zhang
Anomalous behavior of Wilson fermions in the presence of monopoles
Manuel Cortina, Rajamani Narayanan, Ray Romero
Direct lattice QCD calculation of the θ-induced CP-violating pion-nucleon coupling
Chuan-Yang Li, Jun Hua, Jian Liang et al.
Calculation of neutron electric dipole moment from Lattice QCD
Thomas Blum, Fangcheng He, Taku Izubuchi et al.
Exponential-in-Nc2 cost reduction of product-formula-based quantum simulations of quantum chromodynamics
Zohreh Davoudi, Jesse R. Stryker