Overlap in odd dimensions
arXiv:hep-lat/9707016 · doi:10.1016/S0550-3213(97)00779-7
Abstract
In odd dimensions the lattice overlap formalism is simpler than in even dimensions. Masslessness of fermions can still be preserved without fine tuning and gauge invariance without gauge averaging can be maintained, although, sometimes, only at the expense of parity invariance. When parity invariance is enforced invariance under small gauge transformations can be maintained and continuum global gauge anomalies are reproduced.
26 pages. plain TeX using epsf with two postscript figures
References in corpus (7)
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Cited by in corpus (49)
- A practical implementation of the Overlap-Dirac operator
- Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly
- Scale-invariance of parity-invariant three-dimensional QED
- Topological Charge and The Spectrum of Exactly Massless Fermions on the Lattice
- Axial vector current of exact chiral symmetry on the lattice
- Noncommutative Chiral Gauge Theories on the Lattice with Manifest Star-Gauge Invariance
- Exact Chiral Symmetry on the Lattice
- Gauge anomaly cancellations in SU(2)_L \times U(1)_Y Electroweak theory on the lattice
- CPT anomaly: a rigorous result in four dimensions
- Witten's SU(2) anomaly on the lattice
- Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
- One-loop analyses of lattice QCD with the overlap Dirac operator
- Global obstructions to gauge-invariance in chiral gauge theory on the lattice
- Overlap formula for the chiral multiplet
- Ginsparg-Wilson Formulation of 2D N =(2,2) SQCD with Exact Lattice Supersymmetry
- A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry
- On the gauge invariant path-integral measure for the overlap Weyl fermions in of SO(10)
- Lattice Perturbation Theory in Noncommutative Geometry and Parity Anomaly in 3D Noncommutative QED
- Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
- A Numerical Study of the 2-Flavour Schwinger Model with Dynamical Overlap Hypercube Fermions
- From Domain Wall to Overlap in 2+1d
- Solving the local cohomology problem in U(1) chiral gauge theories within a finite lattice
- Parity Invariant Lattice Regularization of Three-Dimensional Gauge-Fermion System
- Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
- Parity anomaly cancellation in a three-dimensional QED with single massless Dirac fermion
- A simple construction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance
- QED-inspired three-dimensional conformal lattice gauge theory without fine-tuning
- Induced Parity Breaking Term in Arbitrary Odd Dimensions at Finite Temperature
- Effective action for QED in 2+1 dimensions at finite temperature
- Phase of the fermion determinant in QED_3 using a gauge invariant lattice regularization
- Translational Anomaly in Chiral Gauge Theories on a Torus and the Overlap Formalism
- Majorana and Majorana-Weyl fermions in lattice gauge theory
- A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
- Role of chiral symmetry in the nucleon excitation spectrum
- Chern-Simons theory on the lattice
- Overlap quark propagator near the physical pion mass
- Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
- A numerical solution to the local cohomology problem in U(1) chiral gauge theories
- Explicitly real form of the Wilson-Dirac matrix for SU(2)
- Anomalous gauge theories revisited
- Numerical indication that center vortices drive dynamical mass generation in QCD
- Fast evaluation and locality of overlap fermions
- Two dimensional fermions in four dimensional YM
- Overlap Hypercube Fermions in QCD
- Domain walls and dimensional reduction
- Induced Chern-Simons term by dimensional reduction
- Transition in the spectral gap of the massless overlap Dirac operator coupled to abelian fields in three dimensions
- Low Energy Constants from the zero mode contribution to the pseudo-scalar correlator
- Topological gauge actions on the lattice as Overlap fermion determinants