Effective Gauge Theories of CompositeW,Z and Massless Fermions

1986 ◽  
Vol 34 (4) ◽  
pp. 261-293
Author(s):  
N. S. Craigie ◽  
J. Stern
Keyword(s):  
Gauge Theories ◽  
Massless Fermions

scholarly journals CHIRAL FERMION OPERATORS ON THE LATTICE

2003 ◽  
Vol 18 (15) ◽  
pp. 2565-2590 ◽  
Author(s):  
WERNER KERLER
Keyword(s):  
Large Class ◽  
Chiral Symmetry ◽  
Gauge Theories ◽  
Unitary Operator ◽  
Chiral Fermion ◽  
Special Cases ◽  
Spectral Representations ◽  
Weaker Conditions ◽  
Massless Fermions ◽  
Weyl Fermions

We only require generalized chiral symmetry and γ5-hermiticity, which leads to a large class of Dirac operators describing massless fermions on the lattice, and use this framework to give an overview of developments in this field. Spectral representations turn out to be a powerful tool for obtaining detailed properties of the operators and a general construction of them. A basic unitary operator is seen to play a central rôle in this context. We discuss a number of special cases of the operators and elaborate on various aspects of index relations. We also show that our weaker conditions lead still properly to Weyl fermions and to chiral gauge theories.

Sign in / Sign up

Export Citation Format

Share Document