feat: Curated Notes
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@ -7,6 +7,7 @@ import HepLean.Lorentz.RealVector.Basic
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import HepLean.PerturbationTheory.FieldStatistics.ExchangeSign
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import HepLean.SpaceTime.Basic
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import HepLean.PerturbationTheory.FieldStatistics.OfFinset
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import HepLean.Meta.Remark.Basic
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/-!
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# Field specification
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@ -24,6 +25,14 @@ These states carry the same field statistic as the field they are derived from.
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-/
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remark fieldSpecification_intro := "The raw ingredients of a field theory are:
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- The specification of the fields.
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- Whether each field is a boson or a fermion.
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- Vertices present.
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- Coefficents of each vertex.
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We call the first two of these ingredients the `FieldSpecification` of the theory. "
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/-- A field specification is a type of fields plus a specification of the
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statistics (fermionic or bosonic) of each field. -/
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structure FieldSpecification where
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@ -27,7 +27,7 @@ namespace FieldStatistic
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variable {𝓕 : Type}
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/-- Field statistics form a commuative group equivalent to `ℤ₂`. -/
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/-- Field statistics form a commuative group isomorphic to `ℤ₂`. -/
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@[simp]
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instance : CommGroup FieldStatistic where
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one := bosonic
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