axiom 109.10 Spectrum condition
open in the book ·
parts/11-qft-standard-model/11-axiomatic-qft.tex:424
· p. 2298
- ground object -- no derivation owed
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
- depends_on proposition 109.23 Uniqueness of the vacuum equals clustering ¶
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depends_on
proposition 109.20
Properties of the Wightman functions
¶
-
depends_on
proposition 109.79
Reflection positivity is Hilbert positivity
¶
- depends_on proposition 109.83 Mass gap and correlation length ¶
-
depends_on
theorem 109.28
Bargmann–Hall–Wightman; imported
¶
-
depends_on
corollary 109.43
Total inversion is automatic
¶
-
depends_on
theorem 109.44
Jost
¶
- depends_on corollary 109.45 Locality implies $PCT$ ¶
-
depends_on
theorem 109.49
Spin and statistics
¶
- depends_on corollary 109.50 The connection between spin and statistics ¶
-
depends_on
theorem 109.44
Jost
¶
- depends_on theorem 109.49 Spin and statistics ¶ ↺
-
depends_on
corollary 109.43
Total inversion is automatic
¶
-
depends_on
theorem 109.21
Wightman reconstruction
¶
-
depends_on
theorem 109.4
Haag
¶
- depends_on corollary 109.5 The interaction picture does not exist ¶
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depends_on
theorem 109.4
Haag
¶
-
depends_on
proposition 109.79
Reflection positivity is Hilbert positivity
¶
-
depends_on
theorem 109.54
Källén–Lehmann
¶
- depends_on theorem 109.60 LSZ reduction ¶
Neighborhood
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Uniqueness of the vacuum equals clustering | declared | parts/11-qft-standard-model/11-axiomatic-qft.tex:750 |
depends_on |
← | Properties of the Wightman functions | declared | parts/11-qft-standard-model/11-axiomatic-qft.tex:581 |
depends_on |
← | Källén–Lehmann | declared | parts/11-qft-standard-model/11-axiomatic-qft.tex:1749 |