proposition 106.38 Integrating out the fermions
open in the book ·
parts/11-qft-standard-model/08-path-integral-quantization.tex:1930
· p. 2177
Rests on
- depends_on equation 106.51 eq:pathint-grassmann-gaussian ¶
- depends_on equation 100.5 eq:qed-free-dirac ¶
- proves proof ch:08-path-integral-quantization@proof-27 ¶
Supports
-
depends_on
corollary 106.39
The minus sign of a closed fermion loop
¶
- depends_on proposition 104.66 The quartic coupling runs down ¶
- depends_on proposition 106.55 Ghosts are required by unitarity ¶
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-grassmann-gaussian | declared | parts/11-qft-standard-model/08-path-integral-quantization.tex:1946 |
depends_on |
→ | eq:qed-free-dirac | declared | parts/11-qft-standard-model/08-path-integral-quantization.tex:1946 |
depends_on |
← | The minus sign of a closed fermion loop | declared | parts/11-qft-standard-model/08-path-integral-quantization.tex:1973 |
proves |
← | ch:08-path-integral-quantization@proof-27 | declared | parts/11-qft-standard-model/08-path-integral-quantization.tex:1949 |