Solvable models with self-triality in statistical mechanics and field theory

Journal Article · Mon Feb 09 00:00:00 EST 1981 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.46.379· OSTI ID:6631536

Shankar, R

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.

• Research Organization: Josiah Willard Gibbs Laboratory, Yale University, New Haven, Connecticut 06520
• DOE Contract Number: EY-76-0C-02-3075
• OSTI ID: 6631536
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 46:6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ISING MODEL
ORDER-DISORDER TRANSFORMATIONS
STATISTICAL MECHANICS
FERMIONS
LAGRANGIAN FUNCTION
O GROUPS
SPIN
ANGULAR MOMENTUM
CRYSTAL MODELS
DYNAMICAL GROUPS
FUNCTIONS
LIE GROUPS
MATHEMATICAL MODELS
MECHANICS
PARTICLE PROPERTIES
PHASE TRANSFORMATIONS
SYMMETRY GROUPS
657006* - Theoretical Physics- Statistical Physics & Thermodynamics- (-1987)