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.
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
NERFINISHED
ⓘ
T. D. Lee NERFINISHED ⓘ |
| occursIn |
Ising model
NERFINISHED
ⓘ
classical statistical systems ⓘ complex magnetic field plane ⓘ lattice spin models ⓘ quantum many-body systems ⓘ |
| relatedTo |
Lee–Yang theorem
NERFINISHED
ⓘ
Lee–Yang zeros NERFINISHED ⓘ 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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.