Number of Higgs "particles" per unit volume

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Discussion Overview

The discussion centers around the concept of the number of Higgs "particles" per unit volume and its implications in the context of an expanding universe. Participants explore the nature of the Higgs field, its particle interpretation, and the relevance of these ideas in both theoretical and experimental frameworks.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants argue that the number of Higgs "particles" per unit volume is not a meaningful quantity, as the Higgs field does not possess a well-defined particle number except in specific scenarios, such as during experiments at the LHC.
  • Others highlight the distinction between interactions involving on-shell Higgs bosons and off-shell (virtual) Higgs bosons, suggesting that this distinction complicates the discussion of particle number.
  • There is a proposal that while the particle interpretation may be ill-posed, the question of whether the Higgs field value remains constant in expanding space is not nonsensical.
  • Some participants note that the concept of the "Higgs field value" is problematic, as a quantum field is an operator rather than a scalar quantity, but they suggest that discussing the average energy density of the Higgs field could be reasonable.
  • One participant posits that the average energy density of the Higgs field might remain constant as the universe expands, similar to dark energy density.
  • A later reply suggests that the Higgs field may effectively be zero in most regions of space.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the meaningfulness of the number of Higgs "particles" per unit volume, with multiple competing views regarding the interpretation of the Higgs field and its implications in an expanding universe.

Contextual Notes

Limitations include the dependence on the definitions of particle number and field value, as well as unresolved questions regarding the nature of the Higgs field in different contexts.

mister i
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TL;DR
Is the number of Higgs "particles" per unit volume constant?
Is the number of Higgs "particles" per unit volume constant (or Higgs field value), even in expanding space?
 
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mister i said:
the number of Higgs "particles" per unit volume
...is not even a meaningful quantity. The Higgs field is not even in a state with a meaningful "particle number" except in special cases like the interior of the LHC during an experimental run.
 
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PeterDonis said:
...is not even a meaningful quantity. The Higgs field is not even in a state with a meaningful "particle number" except in special cases like the interior of the LHC during an experimental run.
There is also a distinction between interactions with on-shell Higgs bosons v. interactions with off-shell Higgs bosons (i.e. virtual Higgs bosons).

But, while the particle part of the question is ill-posed, the question asking "Is the . . . Higgs field value [constant] . . ., even in expanding space?" Is not non-sensical on its face.
 
ohwilleke said:
the question asking "Is the . . . Higgs field value [constant] . . ., even in expanding space?" Is not non-sensical on its face.
Even the "Higgs field value" is problematic since a quantum field is not a number, it's an operator. But asking about something like the average energy density of the Higgs field would be reasonable. As far as I know that is constant as the universe expands, like dark energy density.
 
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PeterDonis said:
...is not even a meaningful quantity.
Or it's zero pretty much everywhere.

Add "scare quotes" as necessary.
 

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