Lattice regularization of chiral gauge theories to all orders of perturbation theory | Zendy

Martin Lüscher | Zendy

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Lattice regularization of chiral gauge theories to all orders of perturbation theory

Author(s) -

Martin Lüscher

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/06/028

Subject(s) - gauge anomaly , hamiltonian lattice gauge theory , lattice gauge theory , theoretical physics , physics , lattice field theory , chiral perturbation theory , quantum gauge theory , gauge theory , supersymmetric gauge theory , lattice (music) , mathematical physics , mixed anomaly , mathematics , quantum mechanics , gauge boson , gauge fixing , quantum chromodynamics , acoustics

In the framework of perturbation theory, it is possible to put chiral gaugetheories on the lattice without violating the gauge symmetry or otherfundamental principles, provided the fermion representation of the gauge groupis anomaly-free. The basic elements of this construction (which starts from theGinsparg-Wilson relation) are briefly recalled and the exact cancellation ofthe gauge anomaly, at any fixed value of the lattice spacing and for anycompact gauge group, is then proved rigorously through a recursive procedure.Comment: Plain TeX source, 26 pages, figures include

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