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Is the higgs field in space around us?

I understand it as that the higgs field has a constant value on every space time point, is that right?

And this value is the vacuum expectation value. This value is responsible for giving mass to the elementary particles, like the fermions, right?

In the Lagrangian for e fermion there is a term $g \phi_0 \bar \psi \psi$.

$g$ is the Yukawa coupling constant and $\phi_0$ is the vacuum expectation value, right?

Abhimanyu Pallavi Sudhir
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user37415
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1 Answers1

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The answer is yes. The answer has been explained Phys SE in here and here.

"Higgs field has a constant value on every space time point (but there is a higher order perturbation around the Higgs potential)" is a remarkable fact and a true statement in the Standard Model. It is a really interesting way for physics thinking. (Well-done Nobel Physics Prize 2013.) If still having doubts, you should read the original papers in Phys Rev Lett:

(1) Broken Symmetry and the Mass of Gauge Vector Mesons

F. Englert and R. Brout

Phys. Rev. Lett. 13, 321 (1964)

(2) Broken Symmetries and the Masses of Gauge Bosons

Peter W. Higgs

Phys. Rev. Lett. 13, 508 (1964)

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