Higgs field at the event horizon

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Discussion Overview

The discussion revolves around the implications of the Higgs field, particularly its vacuum expectation value (vev), in relation to black holes and the mass of particles such as electrons and protons. Participants explore the nature of the Higgs field, its interaction with black holes, and the mechanism by which it imparts mass to particles.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions whether a non-zero vacuum expectation of the Higgs field implies that black holes should be ingesting Higgs particles at a high rate.
  • Another participant clarifies that the Higgs field is a background field without Higgs bosons present, suggesting that black holes do not affect the Higgs field.
  • A participant raises a question about how the Higgs field imparts mass to particles if there are no Higgs particles in empty space, proposing the idea of virtual Higgs particles influencing nearby particles.
  • It is noted that a Higgs vacuum expectation value (vev) is distinct from a Higgs particle, which is described as an excitation of the Higgs field with definite momentum.
  • Several participants express confusion regarding the term "vev," indicating a need for clarification.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the implications of the Higgs field in relation to black holes and particle mass. Multiple viewpoints and questions remain unresolved.

Contextual Notes

There are limitations in understanding the relationship between the Higgs field and black holes, particularly regarding the definitions and implications of the vacuum expectation value and the nature of Higgs particles.

Antiphon
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If the postulated Higgs field has a non-zero vacuum expectation, shouldn't the typical black hole be ingesting Higgs particles at an alarming rate?
 
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The Higgs field is a background field and does not contain any Higgs bosons. It is the 'vacuum state' for Higgs bosons, i.e. the state with occupation number zero. A black hole has no effect on it, and vice versa.
 
That makes sense of course. So then if there are no Higgs particles in empty space, how do They impart mass to the typical particleslike the electron or proton? Is it via virtual Higgs particles in the immediate vicinity of say the electron?
 
A Higgs vev is not the same thing as a Higgs particle, which is an excitation of the Higgs field of definite momentum.
 
Yes, that makes sense too. (What's a vev?)
 
Antiphon said:
Yes, that makes sense too. (What's a vev?)

vacuum expectation value
 

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