Field theory of the two-dimensional Ising model: Conformal invariance, order and disorder, and bosonization

1989 ◽  
Vol 39 (10) ◽  
pp. 6744-6756 ◽  
Author(s):  
Daniel Boyanovsky
Keyword(s):  
Field Theory ◽  
Ising Model ◽  
Conformal Invariance ◽  
Two Dimensional ◽  
Order And Disorder

Quantum field theory and the two-dimensional Ising model

1977 ◽  
Vol 15 (10) ◽  
pp. 2875-2884 ◽  
Author(s):  
J. B. Zuber ◽  
C. Itzykson
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Ising Model ◽  
Quantum Field ◽  
Two Dimensional

scholarly journals Minimal lectures on two-dimensional conformal field theory

2018 ◽  
Author(s):  
Sylvain Ribault
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Conformal Invariance ◽  
Existence And Uniqueness ◽  
Riemann Sphere ◽  
Liouville Theory ◽  
Two Dimensional ◽  
Minimal Models ◽  
Ward Identities ◽  
Conformal Field

We provide a brief but self-contained review of conformal field theory on the Riemann sphere. We first introduce general axioms such as local conformal invariance, and derive Ward identities and BPZ equations. We then define minimal models and Liouville theory by specific axioms on their spectrums and degenerate fields. We solve these theories by computing three- and four-point functions, and discuss their existence and uniqueness.

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