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

Shankar, R

doi:10.1103/PhysRevLett.46.379

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

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Abstract

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.

Authors:: Shankar, R

Publication Date:: Mon Feb 09 00:00:00 EST 1981

Research Org.:: Josiah Willard Gibbs Laboratory, Yale University, New Haven, Connecticut 06520

OSTI Identifier:: 6631536

DOE Contract Number:: EY-76-0C-02-3075

Resource Type:: Journal Article

Journal Name:: Phys. Rev. Lett.; (United States)

Additional Journal Information:: Journal Volume: 46:6

Country of Publication:: United States

Language:: English

Subject:: 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)

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                    Shankar, R. Solvable models with self-triality in statistical mechanics and field theory.  United States: N. p., 1981. 
        Web.  doi:10.1103/PhysRevLett.46.379.

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                    Shankar, R. Solvable models with self-triality in statistical mechanics and field theory.  United States.  https://doi.org/10.1103/PhysRevLett.46.379

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                    Shankar, R. 1981.  
        "Solvable models with self-triality in statistical mechanics and field theory".  United States.  https://doi.org/10.1103/PhysRevLett.46.379.

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@article{osti_6631536,

  title        = {Solvable models with self-triality in statistical mechanics and field theory},

  author       = {Shankar, R},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevLett.46.379},

  url          = {https://www.osti.gov/biblio/6631536},
  journal      = {Phys. Rev. Lett.; (United States)},
number       = ,

  volume       = 46:6,

  place        = {United States},

  year         = {Mon Feb 09 00:00:00 EST 1981},

  month        = {Mon Feb 09 00:00:00 EST 1981}

}

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