Ginsparg-Wilson relation and the overlap formula

Abstract

The fermionic determinant of a lattice Dirac operator that obeys the Ginsparg-Wilson relation factorizes into two factors that are complex conjugate of each other. Each factor is naturally associated with a single chiral fermion and can be realized as a overlap of two many body vacua.

4 pages, plain tex, no figures

References in corpus (4)

• 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

Cited by in corpus (37)

• Locality properties of Neuberger's lattice Dirac operator
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Weyl fermions on the lattice and the non-abelian gauge anomaly
• Testing the fixed-point QCD action and the construction of chiral currents
• Aspects of Chiral Symmetry and the Lattice
• Topological Charge and The Spectrum of Exactly Massless Fermions on the Lattice
• Axial vector current of exact chiral symmetry on the lattice
• Anomaly Cancellation Condition in Lattice Gauge Theory
• Lattice chiral symmetry, Yukawa couplings and the Majorana condition
• Chiral fermions on the lattice
• Gauge anomaly cancellations in SU(2)_L \times U(1)_Y Electroweak theory on the lattice
• Non-commutative Differential Calculus and the Axial Anomaly in Abelian Lattice Gauge Theories
• Global Anomalies in chiral gauge theories on the lattice
• CPT anomaly: a rigorous result in four dimensions
• Relation $Tr{\gamma }_5=0$ and the index theorem in lattice gauge theory
• Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
• The overlap lattice Dirac operator and dynamical fermions
• Overlap formula for the chiral multiplet
• CP breaking in lattice chiral gauge theories
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Gauge fixing, families index theory, and topological features of the space of lattice gauge fields
• Towards Weyl fermions on the lattice without artefacts
• Lattice Regularization and Symmetries
• Domain wall fermion and CP symmetry breaking
• Majorana and Majorana-Weyl fermions in lattice gauge theory
• Vortex fermion on the lattice
• Anomalous gauge theories revisited
• A note on the exact lattice chiral symmetry in the overlap formalism
• The Ginsparg-Wilson relation and local chiral random matrix theory
• Wess-Zumino-Witten term on the lattice
• Chiral symmetry on the lattice
• Lattice Chiral Symmetry in Fermionic Interacting Theories and the Antifield Formalism
• Four-dimensional lattice chiral gauge theories with anomalous fermion content
• CP symmetry and lattice chiral gauge theories
• Ginsparg-Wilson relation and lattice Weyl fermions
• Overlap Fermion in External Gravity