Lattice QCD with a chirally twisted mass term

Abstract

Lattice QCD with Wilson quarks and a chirally twisted mass term represents a promising alternative regularization of QCD, which does not suffer from unphysical fermion zero modes. We show how the correlation functions of the renormalized theory are related to the theory with a standard parameterization of the mass term. In particular we discuss the conditions under which these relations take the same form as obtained from naive continuum considerations. We discuss in detail some applications and comment on potential benefits and problems of this framework.

28 pages Latex, changes in sects. 2 and 3 to correct an erronious presentation of the Ward identities with Ginsparg-Wilson fermions

References in corpus (1)

• O(a) improved twisted mass lattice QCD

Cited by in corpus (38)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Probing Novel Scalar and Tensor Interactions from (Ultra)Cold Neutrons to the LHC
• Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD
• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• O(a) improved twisted mass lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• Static-static-light-light tetraquarks in lattice QCD
• Lattice investigation of the scalar mesons a_0(980) and κ using four-quark operators
• Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
• The chirally rotated Schrödinger functional with Wilson fermions and automatic O(a) improvement
• Masses of $D$ mesons, $D_s$ mesons and charmonium states from twisted mass lattice QCD
• Determination of ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ and analytic parameterization of the static quark-antiquark potential
• Chiral Lagrangian Parameters for Scalar and Pseudoscalar Mesons
• Effective theory for quenched lattice QCD and the Aoki phase
• Continuum limit of the $D$ meson, $D_s$ meson and charmonium spectrum from $N_f=2+1+1$ twisted mass lattice QCD
• Tensor form factor of $D\to \pi (K)\ell \nu$ and $D\to \pi (K)\ell \ell$ decays with $N_f=2+1+1$ twisted-mass fermions
• ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ from a momentum space analysis of the quark-antiquark static potential
• Phase Diagram of Dynamical Twisted Mass Wilson Fermions at Finite Isospin Chemical Potential
• Power corrections from decoupling of the charm quark
• Lattice QCD at the end of 2003
• Non-perturbative renormalisation of Delta F=2 four-fermion operators in two-flavour QCD
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• A perturbative study of two four-quark operators in finite volume renormalization schemes
• Continuum Limit of Overlap Valence Quarks on a Twisted Mass Sea
• 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
• A strategy for implementing non-perturbative renormalisation of heavy-light four-quark operators in the static approximation
• Fluctuations and reweighting of the quark determinant on large lattices
• Comparison of different lattice definitions of the topological charge
• Evolutionary Fitting Methods for the Extraction of Mass Spectra in Lattice Field Theory
• Scaling test of two-flavor O(a)-improved lattice QCD
• Lattice QCD with fixed topology
• The Schrodinger functional with chirally rotated boundary conditions
• The Kaon B-parameter in quenched QCD
• Toward Group Theory Operators for tmLQCD Hadrons
• Chiral perturbation theory for twisted mass QCD at small quark mass
• $N_f=2+1+1$ flavours of twisted mass quarks: cut-off effects at tree-level of perturbation theory
• Phase diagram of non-degenerate Wilson and twisted mass fermions
• Testing the stochastic LapH method in the twisted mass formulation