Lattice QCD with a chirally twisted mass term

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.

[1]  Renormalization of lattice gauge theories with massless Ginsparg-Wilson fermions , 1999, hep-lat/9908013.

[2]  H. Wittig,et al.  Hadron masses and matrix elements from the QCD Schrödinger functional , 1999, hep-lat/9903040.

[3]  G. Hooft Confinement of quarks , 2003 .

[4]  T. Reisz A power counting theorem for Feynman integrals on the lattice , 1988 .

[5]  Effective chiral Lagrangians and lattice QCD , 2000, hep-lat/0006026.

[6]  Hartmut Wittig,et al.  Non-perturbative determination of the axial current normalization constant in 0(a) improved lattice QCD , 1997 .

[7]  C. Bernard,et al.  Recent developments in weak matrix element calculations , 1988 .

[8]  青木 慎也 New Phase Structure for Lattice QCD with Wilson Fermions(原子核三者若手夏の学校(素粒子パート),研究会報告) , 1985 .

[9]  O(a) improved twisted mass lattice QCD , 2001, hep-lat/0104014.

[10]  S. Weinberg New approach to the renormalization group , 1973 .

[11]  K. Jansen,et al.  improvement of lattice QCD with two flavors of Wilson quarks , 2022 .

[12]  Ulli Wolff,et al.  Non-perturbative O(a) improvement of lattice QCD , 1996 .

[13]  G. Martinelli,et al.  Chiral Symmetry on the Lattice with Wilson Fermions , 1985 .

[14]  Aoki,et al.  Neutron electric dipole moment in lattice QCD. , 1989, Physical review letters.

[15]  Herbert Neuberger Exactly massless quarks on the lattice , 1998 .

[16]  B. Sheikholeslami,et al.  Improved continuum limit lattice action for QCD with wilson fermions , 1985 .

[17]  Aoki,et al.  Spontaneous breaking of flavor symmetry and parity in lattice QCD with Wilson fermions. , 1992, Physical review. D, Particles and fields.

[18]  Peter Weisz,et al.  Chiral symmetry and O(a) improvement in lattice QCD , 1996 .

[19]  A. Duncan,et al.  Quenched Chiral Artifacts for Wilson-Dirac Fermions , 1998, hep-lat/9806002.

[20]  Axial vector current of exact chiral symmetry on the lattice , 1998, hep-lat/9808026.

[21]  A local formulation of lattice QCD without unphysical fermion zero modes , 1999, hep-lat/9909003.

[22]  M. Testa Some observations on broken symmetries , 1998 .

[23]  Kenneth G. Wilson,et al.  A Remnant of Chiral Symmetry on the Lattice , 1982 .