The coupling constant parameter space for each model is studied carefully, and regions where symmetry breaking occurs are determined both at zero and finite temperature. It is also found that for the class of theories discussed, symmetry, if broken, is restored above a critical temperature. The contribution of fermions to the GEP, however, is nonvanishing. In particle physics, the Higgs mechanism is a kind of mass generation mechanism, a process that gives mass to elementary particles. Why The Higgs Field Becomes Non-Zero, unlike other fields.
#Higgs field theory pdf#
As the Higgs sector is one of the most popular candidate for deviations from the Standard PDF NLO Standard model effective field theory for Higgs and EW precision data G. We study the scalar being an ultraviolet cutoff which is sent to infinity. The Basic Idea (of how the Higgs field gives mass to other particles.) 2. The Effective Field Theory approach is a fruitful way of constraining new physics in a model independent way. The Gaussian effective potential (GEP), a non-perturbative approach to study quantum field theory, is applied to scalar and scalar-fermion models. Since the latter has a finite energy density, this indicates that the vacuum of this non-Abelian gauge theory is more likely to be in the Higgs phase, rather than the perturbative phase with real massless gluons.
#Higgs field theory trial#
Within the same Axial gauge formulation, we thus have two trial states for the vacuum the Axial gauge bare vacuum for the perturbative phase and a coherent plasma of color for the Higgs phase. The Higgs boson can be a unique portal to finding signs of dark matter due to its own distinctive characteristics and properties.
Fundamental particles in our universe acquire mass through their interactions with the Higgs field. In the third Chapter, these considerations are generalized to an SU(2) gauge theory with fundamental representation scalars. One theoretical model of new physics predicts five Higgs bosons. (2.25) The optical theorem (2.26) simply amounts to (2. The conventions for the Feynman diagrams are the following: a wiggled line denotes a spin-1 field, a plain line denotes a spin-1/2 field and a dashed line denotes a spin-0 field. So we postulate the existence of a new all-pervasive field, the so-called Higgs condensate, which slows them down. Due to ultraviolet reasons, we then consider a slight modification of this state. The Higgs boson unitarizes the W scattering, as long as its mass is light enough.
This state which has the form of a coherent plasma of charge, is shown more » to have infrared finite energy density and invariat under the residual group of the Axial gauge. In the second Chapter, starting from an Axial gauge canonical formulation, we construct the Unitary gauge bare vacuum expressed in terms of Axial gauge variables, within the context of Abelian Scalar Q.E.D. In the first Chapter, we give a general discussion of the phases of a gauge theory and its gauge fixing degeneracies. In this work, we consider a non-Abelian gauge theory involvng scalar fields with non-tachyonic mass terms in the Lagrangian and we wish to construct a finite energy density trial vacuum for this theory.
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