proposition 109.79 Reflection positivity is Hilbert positivity
open in the book ·
parts/11-qft-standard-model/11-axiomatic-qft.tex:2466
· p. 2321
Rests on
- depends_on equation 106.30 eq:pathint-reflection-positivity ¶
-
depends_on
proposition 109.20
Properties of the Wightman functions
¶
- depends_on axiom 109.13 Covariance ¶
- depends_on axiom 109.12 Fields ¶
- depends_on axiom 109.14 Local commutativity ¶
- depends_on axiom 109.10 Spectrum condition ¶
- depends_on axiom 109.9 Relativistic states ¶
- depends_on axiom 109.11 Unique vacuum ¶
- proves proof ch:11-axiomatic-qft@proof-4 ¶
-
depends_on
theorem 109.78
Osterwalder–Schrader
¶
- depends_on definition 109.77 Schwinger functions ¶
-
depends_on
theorem 106.20
Osterwalder–Schrader reconstruction
¶
- depends_on definition 106.19 Schwinger functions ¶
- proves proof ch:11-axiomatic-qft@proof-28 ¶
Supports
- depends_on proposition 109.83 Mass gap and correlation length ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:pathint-reflection-positivity | declared | parts/11-qft-standard-model/11-axiomatic-qft.tex:2475 |
depends_on |
→ | Properties of the Wightman functions | declared | parts/11-qft-standard-model/11-axiomatic-qft.tex:2475 |
depends_on |
→ | Osterwalder–Schrader | declared | parts/11-qft-standard-model/11-axiomatic-qft.tex:2475 |
depends_on |
← | Mass gap and correlation length | declared | parts/11-qft-standard-model/11-axiomatic-qft.tex:2620 |
proves |
← | ch:11-axiomatic-qft@proof-28 | declared | parts/11-qft-standard-model/11-axiomatic-qft.tex:2479 |