An effectively chiral Yukawa model on a lattice

Details An effectively chiral Yukawa model on a lattice An effectively chiral Yukawa model on a lattice

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006slft.confe.213h&link_type=abstract

Proceedings of the XXIVth International Symposium on Lattice Field Theory. July 23-28, 2006, Tucson, Arizona., p.213.1

Physics

Scientific paper

A lattice action for naive fermions is presented which, near a weak-coupling phase transition, can have small massses for the 8 doublers of one chirality while rendering those of opposite chirality much heavier than < φ >R . The action is ultra-local and obeys all fundamental principles including exact gauge invariance when gauge fields are included. Analytical calculations have been done for models with both U(1) and SU(2) global symmetries. The same analysis is in reasonable agreement with old simulation results in the Smit-Swift model where the mass of the lightest unwanted doubler remains below < φ >R near the weak-coupling transition. The possible relevance of my model toward a non-perturbative formulation of the Standard Model is also discussed.

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