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Exponentiating Higgs | | Marco Matone
; | | Date: |
18 Jun 2015 | | Abstract: | The scalar models with exponential interaction, introduced in
arXiv:1506.00987, include scalar theories with nontrivial $langle
phi(x)
angle
eq0$. Here we consider the theory obtained by normal ordering
the exponential of the potential $V(phi)=mu^D exp(-alphaphi)$, rather than
of $V(phi)$ itself. This leads to the partition function $$ W_R[J]={}_Jlangle
0| :e^{-mu^Dint d^Dxexp(-alphaphi(x))}:|0
angle_J $$ that corresponds to
fill-in the vacuum of the free scalar theory coupled to the external current
with the scalar modes. It turns out that $$langle phi(x)
angle=alpha
mu^D/m^2$$ The $N$ point functions follow straightforwardly from the
formulation. The fact that the purely scalar sector has an exact nontrivial
vev, suggests a possible natural way to get the Lagrangian of the Standard
Model, without the cubic and quartic terms of the Higgs field, that may be
tested in future experiments at LHC. | | Source: | arXiv, 1506.5761 | | Services: | Forum | Review | PDF | Favorites | |
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