A construction of lattice chiral gauge theories

Abstract

Path integration over Euclidean chiral fermions is replaced by the quantum mechanics of an auxiliary system of non--interacting fermions. Our construction avoids the no--go theorem and faithfully maintains all the known important features of chiral fermions, including the violation of some perturbative conservation laws by gauge field configurations of non--trivial topology.

74 pages, uuencoded, gz compressed PS file

References in corpus (22)

• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Fermions from Lattice Boundaries
• Chiral Determinant as an Overlap of Two Vacua
• Infinitely many regulator fields for chiral fermions
• Chiral Fermions on the Lattice
• Chern-Simons Currents and Chiral Fermions on the Lattice
• Instantons from over-improved cooling
• Critical Momenta of Lattice Chiral Fermions
• Chiral Fermions and Anomalies on a Finite Lattice
• Investigation of the Domain Wall Fermion Approach to Chiral Gauge Theories on the Lattice
• Chiral Defect Fermions and the Layered Phase
• Anomaly Cancellation in 2+1 dimensions in the presence of a domainwall mass
• Decoupling a Fermion Whose Mass Comes from a Yukawa Coupling: Nonperturbative Considerations
• Anomalies and chiral defect fermions
• The Euclidean Spectrum of Kaplan's Lattice Chiral Fermions
• Perturbative analysis for Kaplan's lattice chiral fermions
• Anomaly through Gauge Invariant Regularization with Infinite Number of Pauli-Villars Fields
• Level Crossing for Hot Sphalerons
• The Effect of Dynamical Gauge Field on the Chiral Fermion on a boundary
• A Note on ``Anomalous" Chiral Gauge Theories
• The Level Crossing Phenomenon with Yukawa Interactions
• The $SU(2)$ Global Anomaly Through Level Circling

Cited by in corpus (517)

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• Spectral properties of the Wilson Dirac operator in the $\epsilon$-regime
• Chiral Lattice Gauge Theories from Warped Domain Walls and Ginsparg-Wilson Fermions
• Witten's SU(2) anomaly on the lattice
• Large-N reduction of SU(N) Yang-Mills theory with massive adjoint overlap fermions
• Lambda-parameter of lattice QCD with the overlap-Dirac operator
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• The finite temperature QCD phase transition with domain wall fermions
• Reducing Chiral Symmetry Violations in Lattice QCD with Domain-Wall Fermions
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• Confinement, chiral symmetry, and the lattice
• Tests of the lattice index theorem
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• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• Topology and chiral symmetry breaking in SU(N) gauge theories
• RI/MOM renormalization of the quasi-PDF in lattice regularization
• Light hadron and diquark spectroscopy in quenched QCD with overlap quarks on a large lattice
• On the decoupling of mirror fermions
• Locality of optimal lattice domain-wall fermions
• Dirac Fermions and Domain Wall Defects in 2+1 Dimensions
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• On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations
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• Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
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• Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles
• New Domain-Wall Fermion Actions
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• From the Dirac Operator to Wess-Zumino Models on Spatial Lattices
• Topological susceptibility in 2+1 flavors lattice QCD with domain-wall fermions
• A Chiral Solution to the Ginsparg-Wilson Equation
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• Vacuum Polarization and Chiral Lattice Fermions
• Pseudovector meson with strangeness and closed-charm
• Kenneth Wilson and lattice QCD
• Alternative to Domain Wall Fermions
• A further study of the possible scaling region of lattice chiral fermions
• Hierarchically deflated conjugate gradient
• The FLIC Overlap Quark Propagator
• Localization with overlap fermions
• Some remarks on the Ginsparg-Wilson fermion
• Spectrum of the U(1) staggered Dirac operator in four dimensions
• Exact Zero-Modes of the Compact QED Dirac Operator
• Improved results for N=(2,2) super Yang-Mills theory using supersymmetric discrete light-cone quantization
• Lattice chirality and the decoupling of mirror fermions
• Lattice Perturbation Theory in Noncommutative Geometry and Parity Anomaly in 3D Noncommutative QED
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• A Lattice Formulation of Chiral Gauge Theories
• Individual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential
• Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion
• Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice
• Recent results from systematic parameterizations of Ginsparg-Wilson fermions
• Determinant of twisted chiral Dirac Operator on the Lattice
• Recent Developments of Domain-wall/Overlap Fermions for Lattice QCD
• 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
• Anderson localization in QCD-like theories
• Short-recurrence Krylov subspace methods for the overlap Dirac operator at nonzero chemical potential
• Lattice gauge theory with baryons at strong coupling
• Wilson mass dependence of the overlap topological charge density
• Dynamical QCD thermodynamics with domain wall fermions
• Ginsparg-Wilson Fermions: A study in the Schwinger Model
• The Kaon B-parameter in Mixed Action Chiral Perturbation Theory
• Low-dimensional long-range topological structure in the QCD vacuum
• More chiral operators on the lattice
• Effective potentials, thermodynamics, and twisted mass quarks
• Hamiltonian domain wall fermions at strong coupling
• SU(2) Gluodynamics and HP1 sigma-model embedding: Scaling, Topology and Confinement
• The Analysis of Space-Time Structure in QCD Vacuum I: Localization vs Global Behavior in Local Observables and Dirac Eigenmodes
• Numerical study of lattice index theorem usingimproved cooling and overlap fermions
• Nonperturbative renormalization of composite operators with overlap fermions
• Unitary IIB Matrix Model and the Dynamical Generation of the Space Time
• A lattice calculation of the pion form factor with Ginsparg-Wilson-type fermions
• Numerical computation of the beta function of large N SU(N) gauge theory coupled to an adjoint Dirac fermion
• Fermions on tori in uniform abelian fields
• Comment on "'t Hooft vertices, partial quenching, and rooted staggered QCD"
• Towards Weyl fermions on the lattice without artefacts
• Quark Propagation in the Instantons of Lattice QCD
• Domain Wall Fermions and MC Simulations of Vector Theories
• Shift of Symmetries of Naive Fermions in QCD-like Lattice Theories
• Chiral anomalies in the reduced model
• Some Applications of the Overlap Formalism
• Domain wall fermion zero modes on classical topological backgrounds
• The overlap is not a waveguide
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Probability distribution of the index in gauge theory on 2d non-commutative geometry
• Solving the local cohomology problem in U(1) chiral gauge theories within a finite lattice
• Nonlinear Realization of Chiral Symmetry on the Lattice
• Nonperturbative renormalisation of composite operators with overlap quarks
• More about the axial anomaly on the lattice
• Large N reduction on a twisted torus
• QED${}_3$-inspired three-dimensional conformal lattice gauge theory without fine-tuning
• Improved Pseudofermion Approach for All-Point Propagators
• Properties of the Fixed Point Lattice Dirac Operator in the Schwinger Model
• A simple construction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance
• Finite-size scaling for the left-current correlator with non-degenerate quark masses
• Energy density for chiral lattice fermions with chemical potential
• Domain-Wall Fermion with $R_5$ Symmetry
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• Exact chiral invariance at finite density on the lattice
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• Meson spectral functions with chirally symmetric lattice fermions
• Two dimensional lattice Gross--Neveu model with domain-wall fermions
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• Chiral gauge theories on the lattice with exact gauge invariance
• On the index theorem for Wilson fermions
• Confining string and its widening in HP1 embedding approach
• Probing the chiral weak Hamiltonian at finite volumes
• Families index theory for Overlap lattice Dirac operator. I
• Strangeness Content in the Nucleon
• General bounds on the Wilson-Dirac operator
• Translational Anomaly in Chiral Gauge Theories on a Torus and the Overlap Formalism
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Remarks on the realization of the Atiyah-Singer index theorem in lattice gauge theory
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• A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
• Majorana and Majorana-Weyl fermions in lattice gauge theory
• A Study of the 't Hooft Model with the Overlap Dirac Operator
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• Chiral symmetry restoration at finite temperature in the planar limit
• Towards the Continuum Limit of the Overlap Quark Propagator in Landau Gauge
• The Overlap Formalism and Topological Susceptibility on the Lattice
• Neutron electric dipole moment from lattice QCD
• Role of chiral symmetry in the nucleon excitation spectrum
• Effective Lagrangian for strongly coupled domain wall fermions
• Light quark masses using domain wall fermions
• A simple derivation of the Overlap Dirac Operator
• Absence of evidence for pentaquarks on the lattice
• Introduction of the chemical potential in the overlap formalism
• Light quark masses in quenched QCD with exact chiral symmetry
• Overlap quark propagator near the physical pion mass
• Axial U(1) current in Grabowska and Kaplan's formulation
• Residual Chiral Symmetry Breaking in Domain-Wall Fermions
• Lattice QCD with the Overlap Fermions at Strong Gauge Coupling (II)
• Chiral Fermions and Multigrid
• QCD inequalities for hadron interactions
• Fermion number anomaly with the fluffy mirror fermion
• Evidence for fractional topological charge in SU(2) pure Yang-Mills theory
• Preliminary results from a simulation of quenched QCD with overlap fermions on a large lattice
• Six-dimensional regularization of chiral gauge theories
• Ginsparg-Wilson relation with R=(a γ_5 D)^{2k}
• Species Doubling and Chiral Lagrangians
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• Simulation of Lattice QCD with Domain-Wall Fermions
• Instanton classical solutions of SU(3) fixed point actions on open lattices
• Determination of the $\Delta S=1$ weak Hamiltonian in the SU(4) chiral limit through topological zero-mode wave functions
• Weak coupling expansion of a chiral gauge theory on a lattice in the overlap formulation
• Vortex fermion on the lattice
• Can nonlocal Dirac operators be topologically proper ?
• Lattice Gauge Fields Topology Uncovered by Quaternionic sigma-model Embedding
• A numerical solution to the local cohomology problem in U(1) chiral gauge theories
• RI/MOM and RI/SMOM renormalization of quark bilinear operators using overlap fermions
• Distance between various discretized fermion actions
• ${\beta }_{IR}^{\prime }$ at an Infrared Fixed Point in Chiral Gauge Theories
• Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions
• Symmetries of Ginsparg-Wilson Chiral Fermions
• Single massless Majorana fermion in the domain-wall formalism
• Temperature in Fermion Systems and the Chiral Fermion Determinant
• Numerical indication that center vortices drive dynamical mass generation in QCD
• Brief Review of Saturation Physics
• Two Lectures on QCD at Short Distances: Jets and Factorization
• Scaling Behavior of the Landau Gauge Overlap Quark Propagator
• Supersymmetry on Lattice Using Ginsparg-Wilson Relation
• Effective Field Theory for the Anisotropic Wilson Lattice Action
• Anomalous gauge theories revisited
• Massless Composite Fermions in Two Dimensions and the Overlap
• Domain-wall fermions with $U(1)$ dynamical gauge fields
• Dynamical lattice QCD thermodynamics with domain wall fermions
• Charmonium Spectrum from Quenched QCD with Overlap Fermions
• Domain Wall Fermions and Chiral Symmetry Restoration Rate
• Chiral fermions on the lattice and index relations
• Domain-Wall Induced Quark Masses in Topologically-Nontrivial Background
• Level spacings for weakly asymmetric real random matrices and application to two-color QCD with chemical potential
• Smearing Center Vortices
• Spectrum of the Hermitian Wilson Dirac operator
• Transiting topological sectors with the overlap
• Overlap for Majorana-Weyl fermions
• Topological Susceptibility and Zero Mode Size in Lattice QCD
• On the chirality of a discrete Dirac-Kähler equation
• General chiral gauge theories on the lattice
• Aspects of Domain-Wall Fermion on the Lattice
• Renormalisation of one-link quark operators for overlap fermions with Lüscher-Weisz gauge action
• Lattice perturbation theory in the overlap formulation for the Yukawa and gauge interactions
• Approaching $SU(2)$ gauge dynamics with smeared $Z(2)$ vortices
• Bound states for Overlap and Fixed Point Actions close to the chiral limit
• Applications of the overlap formalism to super Yang-Mills theories
• Beauty mesons in $N_f=2+1+1+1$ lattice QCD with exact chiral symmetry
• Pion mass and the PCAC relation in the overlap fermion formalism: Gauged Gross-Neveu model on a lattice
• A generalized Ginsparg-Wilson relation
• Quenched Chiral Behavior of Hadrons with Overlap Fermions
• Zero modes in non local domain walls
• General Ginsparg-Wilson fermions and index
• Abelian and non-Abelian Berry curvatures in lattice QCD
• Emergent Topology in Many-Body Dissipative Quantum Matter
• New Regularization Using Domain Wall
• Combining the color structures and intersection points of thick center vortices and low-lying Dirac modes
• Progress in lattice chiral gauge theories
• Differential equation for spectral flows of hermitean Wilson-Dirac operator
• Topics in Effective Field Theory for Lattice QCD
• Axial anomaly in the reduced model: Higher representations
• Simple ansatz for the lattice fermion determinant
• Correlating confinement to topological fluctuations near the crossover transition in QCD
• Improved Measure of Local Chirality
• Wess-Zumino-Witten term on the lattice
• Exact Chiral Symmetry for Domain Wall Fermions with Finite L_s
• The Index and Axial Anomaly of a lattice Dirac operator
• Dirac zero-modes in compact U(1) gauge theory
• Overlap for 2D chiral U(1) models
• Two dimensional fermions in three dimensional YM
• Chiral zero modes on the domain-wall model in 4+1 dimensions
• Stout-link smearing in lattice fermion actions
• On the infinite gradient-flow for the domain-wall formulation of chiral lattice gauge theories
• Comments on ``Lattice Formulation of the Standard Model'' by Creutz. et. al
• Extension of the Nielsen-Ninomiya theorem
• Analysis of systematic errors in the calculation of renormalization constants of the topological susceptibility on the lattice
• On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD
• Matrix Elements of Light Quarks
• Why the overlap formula does not lead to chiral fermions
• More about chiral symmetry restoration at finite temperature in the planar limit
• Axial anomaly and Ginsparg-Wilson fermions in the Lattice Dirac Sea picture
• Domain-wall fermions and chiral symmetries
• Domain walls and dimensional reduction
• Spectrum of the Hermitian Wilson-Dirac Operator for a Uniform Magnetic Field in Two Dimensions
• Understanding the approach to thermalization from the eigenspectrum of non-Abelian gauge theories
• Quenched Chiral Log and Light Quark Mass from Overlap Fermions
• Topics in Lattice QCD and Effective Field Theory
• CP breaking in lattice chiral gauge theory
• Lattice Index Theorem and Fractional Topological Charge
• FLIC-Overlap Fermions and Topology
• Massless Majorana fermion on the domain wall
• Shrinking fermionic modes, on the lattice and in the continuum
• Regularized overlap and the chiral determinant
• Evaluation of the Bilinear Condensate of the Planar Thirring Model in the Strongly Coupled Region
• Unquenched domain wall quarks with multi-bosons
• Quenched chiral logarithms in lattice QCD with overlap Dirac quarks
• New $N_f=2$ Pseudofermion Action for Monte-Carlo Simulation of Lattice Field Theory with Domain-Wall Fermions
• The staggered domain wall fermion method
• Large N reduction with overlap fermions
• Topologically invariant transformation for lattice fermions
• The dependence of overlap topological charge density on Wilson mass parameter
• Tunneling between fermionic vacua and the overlap formalism
• A Wilson-Majorana Regularization for Lattice Chiral Gauge Theories
• Nature of the Topological Transition of the Kitaev Model in [111] Magnetic Field
• Analyzing the spectrum of general, non-hermitian Dirac operators
• Chirally improved Dirac operators: Studying the sensitivity to topological excitations for zero and finite temperature
• Exploratory study of the D_s spectrum in 2+1 Domain Wall QCD with heavy overlap
• A computational system for lattice QCD with overlap Dirac quarks
• Four-dimensional lattice chiral gauge theories with anomalous fermion content
• Gauge Freedom in Chiral Gauge Theory with Vacuum Overlap
• Ph.D. Thesis: Chiral Effective Field Theory Beyond the Power-Counting Regime
• Large N QCD -- Continuum reduction
• CP and T violation in non-perturbative chiral gauge theories
• Dirac operator normality and chiral properties
• Desperately Seeking Chiral Fermions
• Overlap Dirac Operator, Eigenvalues and Random Matrix Theory
• Topological gauge actions on the lattice as Overlap fermion determinants
• Light hadron spectroscopy in quenched QCD with overlap fermions
• Exact Chiral Invariance at Finite Density on Lattice
• Finite Temperature QCD with Domain Wall Fermions
• Lattice Chirality and its uses at large N
• Pion Decay Constant, $Z_A$ and Chiral Log from Overlap Fermions
• Formulation of chiral gauge theories
• Reflection Positivity of Free Overlap Fermions
• Zero-modes of the QED Neuberger Dirac operator
• Recent results using the overlap Dirac operator
• Chiral Schwinger models without gauge anomalies
• Computational Methods in Quantum Field Theory
• More chiral lattice fermions
• Formal Developments for Lattice QCD with Applications to Hadronic Systems
• Fermionic topological charge of families of lattice gauge fields
• Role of the Wilson mass parameter in the overlap Dirac topological charge density
• FLIC Overlap Fermions
• Locality and Efficient Evaluation of Lattice Composite Fields: Overlap-Based Gauge Operators
• Fractional topological charges and the lowest Dirac modes
• Symmetry and Symmetry Restoration of Lattice Chiral Fermion in the Overlap Formalism
• Interacting staggered domain wall fermions
• Probing QCD instantons using jet correlation observables in proton-proton collisions at the LHC
• Symmetries of massless QCD
• Gribov Copy and Complex Phase of Chiral Determinant
• General chiral gauge theories
• Species doubling and effective Lagrangians
• Finite temperature regularization
• The fermion determinant and the chiral gauge theory on a lattice