phenomenon 108.49 A critical exponent, and a disagreement
open in the book ·
parts/11-qft-standard-model/10-renormalization-group.tex:1733
· p. 2274
- phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt
Rests on
-
depends_on
corollary 108.44
Universality
¶
- depends_on equation 108.34 eq:rg-exponents-from-eigenvalues ¶
-
depends_on
theorem 108.32
Kadanoff scaling and the exponent relations
¶
- depends_on definition 108.31 The block transformation ¶
- depends_on equation 123.6 eq:phase-widom ¶
-
depends_on
phenomenon 123.4
The exponent inequalities are satisfied as
equalities
¶
- proves derived proof ch:06-phase-transitions-critical@proof-3 ¶
- proves proof ch:10-renormalization-group@proof-14 ¶
-
depends_on
theorem 108.43
Criticality needs one tuning per relevant field
¶
- depends_on definition 108.42 Fixed point and linearized flow ¶
- depends_on equation 108.49 eq:rg-linearized ¶
- proves proof ch:10-renormalization-group@proof-18 ¶
- proves proof ch:10-renormalization-group@proof-19 ¶
- depends_on equation 108.35 eq:rg-hyperscaling ¶
- depends_on phenomenon 123.6 A critical exponent measured to four decimal places ¶
- proves proof ch:10-renormalization-group@proof-22 ¶
Supports
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | Specific heat of liquid helium in zero gravity very near the lambda point | derived | parts/11-qft-standard-model/10-renormalization-group.tex:1745 |
cites |
→ | Critical phenomena and renormalization-group theory | derived | parts/11-qft-standard-model/10-renormalization-group.tex:1753 |
depends_on |
→ | Universality | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1764 |
depends_on |
→ | eq:rg-hyperscaling | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1764 |
depends_on |
→ | A critical exponent measured to four decimal places | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1764 |
proves |
← | ch:10-renormalization-group@proof-22 | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1768 |