Published February 9, 1981
| Version v1
Journal article
Solvable models with self-triality in statistical mechanics and field theory
Creators
- 1. Josiah Willard Gibbs Laboratory, Yale University, New Haven, Connecticut 06520
Description
The notion of self-duality is extended to self-triality. One example from spin systems is given and completely solved by use of fermion variables. It is then shown that the O(8) Gross-Neveu model has self-triality: The Lagrangian L(psi)=L(R)=L(L) where psi is the original fermion while R and L are two types of kinks that occur dynamically. The anatomy of self-duality (triality) in the Ising and present examples is exposed as is the origin of the fermionic solutions
Additional details
Publishing Information
- Journal Title
- Phys. Rev. Lett.
- Journal Volume
- 46
- Journal Issue
- 6
- Series
- Phys. Rev. Lett.
- Journal Page Range
- 379-382
- ISSN
- 0031-9007
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 12605929
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FERMIONS; ISING MODEL; LAGRANGIAN FUNCTION; O GROUPS; ORDER-DISORDER TRANSFORMATIONS; SPIN; STATISTICAL MECHANICS
- Descriptors DEC
- ANGULAR MOMENTUM; CRYSTAL MODELS; DYNAMICAL GROUPS; FUNCTIONS; LIE GROUPS; MATHEMATICAL MODELS; MECHANICS; PARTICLE PROPERTIES; PHASE TRANSFORMATIONS; SYMMETRY GROUPS