Yang–Lee edge singularity
E911214
concept in quantum field theory
concept in statistical mechanics
critical point
phase transition
universality class
The Yang–Lee edge singularity is a critical point in the complex plane of an external field where the zeros of a system’s partition function accumulate, defining a non-unitary universality class in statistical mechanics and quantum field theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Yang–Lee edge singularity canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11205563 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Yang–Lee edge singularity Context triple: [Yang–Lee theory, relatedConcept, Yang–Lee edge singularity]
-
A.
Sintgaing
Sintgaing is a town in central Myanmar located within the Mandalay Region.
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B.
Eonyang
Eonyang is a town in South Korea that serves as the administrative and commercial center of Ulju County in Ulsan.
-
C.
Sip Song Chau Tai
Sip Song Chau Tai was a historical confederation of twelve Tai principalities in the northwest region of present-day Vietnam and parts of Laos, known for its semi-autonomous rule under local Tai lords.
-
D.
Sungsang
Sungsang is a coastal village in South Sumatra, Indonesia, known as a fishing and port settlement near the mouth of the Musi River.
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E.
Tai Yai
Tai Yai refers to the Shan people, a Tai ethnic group primarily inhabiting Myanmar’s Shan State and neighboring regions of Southeast Asia.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Yang–Lee edge singularity Target entity description: The Yang–Lee edge singularity is a critical point in the complex plane of an external field where the zeros of a system’s partition function accumulate, defining a non-unitary universality class in statistical mechanics and quantum field theory.
-
A.
Sintgaing
Sintgaing is a town in central Myanmar located within the Mandalay Region.
-
B.
Eonyang
Eonyang is a town in South Korea that serves as the administrative and commercial center of Ulju County in Ulsan.
-
C.
Sip Song Chau Tai
Sip Song Chau Tai was a historical confederation of twelve Tai principalities in the northwest region of present-day Vietnam and parts of Laos, known for its semi-autonomous rule under local Tai lords.
-
D.
Sungsang
Sungsang is a coastal village in South Sumatra, Indonesia, known as a fishing and port settlement near the mouth of the Musi River.
-
E.
Tai Yai
Tai Yai refers to the Shan people, a Tai ethnic group primarily inhabiting Myanmar’s Shan State and neighboring regions of Southeast Asia.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
concept in quantum field theory
ⓘ
concept in statistical mechanics ⓘ critical point ⓘ phase transition ⓘ universality class ⓘ |
| appearsIn |
directed percolation with complex parameters
ⓘ
ferromagnetic Ising model in complex magnetic field ⓘ lattice gas models ⓘ polymer collapse problems ⓘ |
| characterizedBy |
accumulation of partition function zeros
ⓘ
branch point singularity in free energy ⓘ non-Hermitian effective field theory ⓘ non-unitary critical behavior ⓘ |
| definedIn | complex external field plane ⓘ |
| describedBy |
conformal field theory
ⓘ
minimal model M(2,5) ⓘ |
| effectiveFieldTheory | φ^3 theory with imaginary coupling ⓘ |
| field |
critical phenomena
ⓘ
quantum field theory ⓘ statistical mechanics ⓘ |
| hasCentralCharge | -22/5 ⓘ |
| hasCriticalExponent |
correlation length exponent ν = 5/6 in 2D
ⓘ
magnetization exponent β = -1/6 in 2D ⓘ susceptibility exponent γ = 1/3 in 2D ⓘ |
| hasDimension | upper critical dimension 6 ⓘ |
| hasProperty |
associated with complex critical exponents
ⓘ
describes edge of zero distribution ⓘ describes termination of first-order transition line in complex field ⓘ non-unitary universality class ⓘ |
| hasScalingDimension | -1/5 ⓘ |
| namedAfter |
C. N. Yang
ⓘ
T. D. Lee ⓘ |
| occursIn |
Ising model
ⓘ
linked to:
Ising models
classical statistical systems ⓘ complex magnetic field plane ⓘ lattice spin models ⓘ quantum many-body systems ⓘ |
| relatedTo |
Lee–Yang theorem
ⓘ
Lee–Yang zeros ⓘ
linked to:
Yang–Lee theory
PT-symmetry breaking ⓘ branched polymers via dimensional reduction ⓘ complex renormalization group flows ⓘ edge of Lee–Yang circle ⓘ non-Hermitian phase transitions ⓘ partition function zeros ⓘ |
| studiedUsing |
Monte Carlo simulations with complex weights
ⓘ
conformal bootstrap ⓘ renormalization group methods ⓘ series expansions ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Yang–Lee edge singularity Description of subject: The Yang–Lee edge singularity is a critical point in the complex plane of an external field where the zeros of a system’s partition function accumulate, defining a non-unitary universality class in statistical mechanics and quantum field theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.