Exploring Different Fields: Properties and Types Beyond the Higgs Field

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Discussion Overview

The discussion revolves around the properties and classifications of different fields in physics, with a specific focus on the Higgs field. Participants explore the distinctions between classical field theory and quantum field theory, as well as the nature of various types of fields, including scalar, vector, and tensor fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that there are two main types of field theory: classical field theory and quantum field theory, but express uncertainty about where the Higgs field fits within these categories.
  • One participant describes fields as mathematical functions on a manifold, categorizing them into scalars, vectors, and tensors, and notes that the Higgs field is a scalar or spin 0 field.
  • Another participant questions whether the Higgs field exhibits non-local behavior similar to that described by Bell's Theorem, raising the issue of local versus non-local fields.
  • There is a mention of the uniqueness of scalar fields like the Higgs, as there are no other known scalar fields of quantum excitations that manifest as particles.

Areas of Agreement / Disagreement

Participants express differing views on the classification of the Higgs field and its properties, particularly regarding its locality and comparison to other fields. The discussion remains unresolved with multiple competing perspectives presented.

Contextual Notes

Participants note limitations in their understanding of the classification of fields and the implications of locality versus non-locality, indicating that further clarification or definitions may be necessary.

Varon
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The higgs field seem to be unique compared to other fields. How many kinds of fields are there, what are their properties and which among them does the higgs field fall under?
 
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Hi Varon ..

There are two types on field theory in Physics:
1) Classical Filed Theory which is a physical theory that describes the study of how one or more physical fields interact with matter.. and
2) Quantum Feild Theory provides a theoretical framework for constructing quantum mechanical models of systems classically parametrized (represented) by an infinite number of dynamical degrees of freedom, that is, fields and (in a condensed matter context) many-body systems. It is the natural and quantitative language of particle physics and condensed matter physics.

I am not sure about wehre does the higgs filed fall under in the above two...

Hope this helps.

Thanks & Regards..
 
A field is just a function on a manifold. There are fields of any geometric object like scalars, vectors or tensors of various orders. In physics the Higgs is a scalar or spin 0 field, force carriers are bosons and are described by vector (spin 1) fields. Gravity is described by a tensor field etc, etc. Fields are just a mathematical concept applied to physics. Scalar fields like the Higgs are a little unusual in that there are no other known scalar fields of quantum excitations that manifest as particles.
 
cosmik debris said:
A field is just a function on a manifold. There are fields of any geometric object like scalars, vectors or tensors of various orders. In physics the Higgs is a scalar or spin 0 field, force carriers are bosons and are described by vector (spin 1) fields. Gravity is described by a tensor field etc, etc. Fields are just a mathematical concept applied to physics. Scalar fields like the Higgs are a little unusual in that there are no other known scalar fields of quantum excitations that manifest as particles.

As a scalar field, is the higgs field non-local in that the field has Aspect like behavior (that is, violating Bell's Theorem)?

What fields are local and non-local (Aspect-like) and how do you tell?
 

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