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Lattice Studies of the Higgs System

  • J. Jersák
Part of the Ettore Majorana International Science Series book series (EMISS, volume 50)

Abstract

Investigation of the coupled Higgs and gauge fields on the lattice has elucidated the gauge invariant formulation and several non-perturbative aspects of the Higgs mechanism, in particular its properties for strong gauge coupling and its relationship to confinement. However, until now no indication has been found for the gauge field to inhibit the vanishing of the Φ4 coupling in the limit of infinite cut-off. The scalar sector dominates the properties of the Higgs mechanism, and the cut-off cannot be removed.

With the gauge sector treated therefore only perturbatively, extensive analytic and numerical calculations in the pure scalar sector of the Standard Model have been performed recently on the lattice. The results indicate that the cut-off parameter in this regularization can be substantially greater than the Higgs boson mass only if this mass is not much bigger than 640 GeV, and the scalar sector is not strongly interacting.

Lattice studies of the Higgs system including fermions have been initiated. Modifications of the phase diagram due to the spontaneous chiral symmetry breaking for fermions with vectorial gauge coupling have been observed. In models with strong Yukawa coupling the fermion masses increase as the expectation value of the Higgs field decreases. Therefore a method of putting chiral fermions on the lattice in a gauge invariant way and removing the unwanted fermion doublers by means of a strong coupling of the Wilson-Yukawa type to the Higgs field is very promising and currently under investigation.

Keywords

Higgs Boson Scalar Field Yukawa Coupling Continuum Limit Gauge Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • J. Jersák
    • 1
    • 2
  1. 1.Institute of Theoretical Physics ERWTH AachenAachenW. Germany
  2. 2.HLRZ at KFA JülichJülichW. Germany

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