Majorana fermions and CP-invariance of chiral gauge theories on the lattice
arXiv:0902.4783 · doi:10.1016/j.nuclphysb.2009.06.019
Abstract
The construction of massless Majorana fermions with chiral Yukawa couplings on the lattice is considered. We find topological obstructions tightly linked to those underlying the Nielsen-Ninomiya no-go theorem. In contradistinction to chiral fermions the obstructions originate only from the combination of the Dirac action and the Yukawa term. These findings are used to construct a chirally invariant lattice action. We also show that the path integral of this theory is given by the Pfaffian of the corresponding Dirac operator. As an application of the approach set-up here we construct a CP-invariant lattice action of a chiral gauge theory, based on a lattice adaptation of charge conjugation and parity transformation in the continuum.
arXiv comment8 pages, typos removed, literature added, discussion of CP invariance in chiral gauge theories extended
References in corpus (35)
- Exactly massless quarks on the lattice
- Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
- More about exactly massless quarks on the lattice
- The index theorem in QCD with a finite cut-off
- Vector like gauge theories with almost massless fermions on the lattice
- Abelian chiral gauge theories on the lattice with exact gauge invariance
- A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
- On Euclidean spinors and Wick rotations
- An Algorithm for Gluinos on the Lattice
- Exact Lattice Supersymmetry: the Two-Dimensional N=2 Wess-Zumino Model
- Deconstruction and other approaches to supersymmetric lattice field theories
- Supersymmetric Yang-Mills theory on the lattice
- Supersymmetry on the lattice
- Lattice super-Yang-Mills using domain wall fermions in the chiral limit
- Supersymmetry on the lattice and the Leibniz rule
- On the Overlap Prescription for Lattice Regularization of Chiral Fermions
- Algebraic Generalization of the Ginsparg-Wilson Relation
- Two-Dimensional Wess-Zumino Models at Intermediate Couplings
- N=2 Wess-Zumino model on the d=2 Euclidean lattice
- Lattice chiral symmetry, Yukawa couplings and the Majorana condition
- Lattice four-dimensional N=4 SYM is practical
- Overlap formulation of Majorana--Weyl fermions
- Chiral Lattice Gauge Theories and The Strong Coupling Dynamics of a Yukawa-Higgs Model with Ginsparg-Wilson Fermions
- Real Representation in Chiral Gauge Theories on the Lattice
- Taming the Leibniz Rule on the Lattice
- CP breaking in lattice chiral gauge theories
- Phase diagram of the lattice Wess-Zumino model from rigorous lower bounds on the energy
- A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry
- Towards Weyl fermions on the lattice without artefacts
- Domain wall fermion and CP symmetry breaking
- New overlap construction of Weyl fermions
- Majorana and Majorana-Weyl fermions in lattice gauge theory
- CP, T and CPT in the non-perturbative formulation of chiral gauge theories
- Chiral fermions on the lattice
- A no-go theorem for the Majorana fermion on a lattice
Cited by in corpus (6)
- Brout-Englert-Higgs physics: From foundations to phenomenology
- Chiral Lattice Gauge Theories Via Mirror-Fermion Decoupling: A Mission (im)Possible?
- A renormalisation group derivation of the overlap formulation
- Symmetries of Ginsparg-Wilson Chiral Fermions
- A Ginsparg-Wilson approach to lattice CP symmetry, Weyl and Majoranna fermions, and the Higgs mechanism
- Testing the mechanism of lepton compositness