Chiral perturbation theory for lattice QCD with a twisted mass term

Abstract

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term for two degenerate quark flavours is considered in the framework of chiral perturbation theory. The pion mass and decay constant are calculated in next-to-leading order including terms linear in the lattice spacing $a$.

5 pages, LaTeX2e, typos corrected, 2 references added

References in corpus (2)

• Partially quenched chiral perturbation theory and numerical simulations
• Quark mass dependence of masses and decay constants of the pseudo-Goldstone bosons in QCD

Cited by in corpus (45)

• Chirally improving Wilson fermions - I. O(a) improvement
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Chirally improving Wilson fermions II. Four-quark operators
• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• Dynamical Twisted Mass Fermions with Light Quarks
• Twisted mass lattice QCD
• Twisted mass chiral perturbation theory at next-to-leading order
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
• The phase diagram of twisted mass lattice QCD
• Pion mass splitting and phase structure in Twisted Mass QCD
• On the phase structure of twisted mass lattice QCD
• Twisted-mass QCD, O(a) improvement and Wilson chiral perturbation theory
• Universality of Mixed Action Extrapolation Formulae
• The role of the double pole in lattice QCD with mixed actions
• Strange quarks in quenched twisted mass lattice QCD
• Observations on discretization errors in twisted-mass lattice QCD
• Exploring the phase structure of lattice QCD with twisted mass quarks
• O(a^2) cutoff effects in lattice Wilson fermion simulations
• Chiral perturbation theory at non-zero lattice spacing
• Numerical simulations with two flavours of twisted-mass Wilson quarks and DBW2 gauge action
• Exploring twisted mass Lattice QCD with the Clover term
• Nucleon and Delta masses in twisted mass chiral perturbation theory
• Twisted Mass Finite Volume Effects
• Baryon masses at O(a^2) in chiral perturbation theory
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• Automatic O(a) improvement for twisted-mass QCD in the presence of spontaneous symmetry breaking
• pi-pi Scattering in Twisted Mass Chiral Perturbation Theory
• Twisted mass Lattice QCD
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• Chiral perturbation theory for twisted mass QCD
• The epsilon regime with twisted mass Wilson fermions
• Chiral perturbation theory for partially quenched twisted mass lattice QCD
• Applying chiral perturbation to twisted mass Lattice QCD
• Dynamical twisted mass fermions
• Charmless chiral perturbation theory for N_f=2+1+1 twisted mass lattice QCD
• Twisted mass lattice QCD with non-degenerate quark masses
• $\pi \pi$ scattering in partially-quenched twisted-mass chiral perturbation theory
• Nf=2 Lattice QCD and Chiral Perturbation Theory
• Twisted mass chiral perturbation theory for 2+1+1 quark flavours
• Wilson-like fermions and the static B_B parameter with no chirality breaking mixings
• Topics in Effective Field Theory for Lattice QCD
• Chiral perturbation theory for twisted mass QCD at small quark mass
• Topics in Lattice QCD and Effective Field Theory
• The Leutwyler-Smilga relation on the lattice
• Chiral perturbation theory for three-flavour lattice QCD with isospin splitting