A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
arXiv:0709.3658 · doi:10.1088/1126-6708/2008/05/095
Abstract
We present a gauge-invariant and non-perturbative construction of the Glashow-Weinberg-Salam model on the lattice, based on the lattice Dirac operator satisfying the Ginsparg-Wilson relation. Our construction covers all SU(2) topological sectors with vanishing U(1) magnetic flux and would be usable for a description of the baryon number non-conservation. In infinite volume, it provides a gauge-invariant regularization of the electroweak theory to all orders of perturbation theory. First we formulate the reconstruction theorem which asserts that if there exists a set of local currents satisfying cetain properties, it is possible to reconstruct the fermion measure which depends smoothly on the gauge fields and fulfills the fundamental requirements such as locality, gauge-invariance and lattice symmetries. Then we give a closed formula of the local currents required for the reconstruction theorem.
arXiv comment32 pages, uses JHEP3.cls, the version to appear in JHEP
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- On the decoupling of mirror fermions
- On the gauge invariant path-integral measure for the overlap Weyl fermions in 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
- Anomaly cancellation condition in an effective non-perturbative electroweak theory
- Fermion number anomaly with the fluffy mirror fermion
- Excited states of massive fermions in a chiral gauge theory