scholarly journals Dirac operator, bicovariant differential calculus and gauge theory on -Minkowski space

1998 ◽  
Vol 31 (30) ◽  
pp. 6437-6447 ◽  
Author(s):  
P N Bibikov
Keyword(s):  
Gauge Theory ◽  
Dirac Operator ◽  
Minkowski Space ◽  
Differential Calculus ◽  
Bicovariant Differential Calculus

scholarly journals The Quantum Cartan Algebra Associated to a Bicovariant Differential Calculus

2011 ◽  
Vol 68 (3) ◽  
pp. 319-346
Author(s):  
Lucio S. Cirio ◽  
Chiara Pagani ◽  
Alessandro Zampini
Keyword(s):  
Differential Calculus ◽  
Bicovariant Differential Calculus

scholarly journals Fermion production in the background of Minkowski space classical solutions in spontaneously broken gauge theory

1995 ◽  
Vol 51 (8) ◽  
pp. 4561-4572 ◽  
Author(s):  
Edward Farhi ◽  
Jeffrey Goldstone ◽  
Sam Gutmann ◽  
Krishna Rajagopal ◽  
Robert Singleton
Keyword(s):  
Gauge Theory ◽  
Minkowski Space ◽  
Classical Solutions

Bicovariant differential calculus on the quantum superspace ℝq(1|2)

2016 ◽  
Vol 15 (09) ◽  
pp. 1650172 ◽  
Author(s):  
Salih Celik
Keyword(s):  
Hopf Algebra ◽  
Differential Calculus ◽  
Vector Fields ◽  
Lie Superalgebra ◽  
Function Algebra ◽  
Algebra Structure ◽  
Hopf Algebra Structure ◽  
Bicovariant Differential Calculus ◽  
Quantum Supergroup ◽  
Dual Hopf Algebra

Super-Hopf algebra structure on the function algebra on the extended quantum superspace has been defined. It is given a bicovariant differential calculus on the superspace. The corresponding (quantum) Lie superalgebra of vector fields and its Hopf algebra structure are obtained. The dual Hopf algebra is explicitly constructed. A new quantum supergroup that is the symmetry group of the differential calculus is found.

scholarly journals DIFFERENTIAL CALCULUS ON FUZZY SPHERE AND SCALAR FIELD

1998 ◽  
Vol 13 (19) ◽  
pp. 3235-3243 ◽  
Author(s):  
URSULA CAROW-WATAMURA ◽  
SATOSHI WATAMURA
Keyword(s):  
Scalar Field ◽  
Dirac Operator ◽  
Differential Calculus ◽  
Spectral Triple ◽  
Fuzzy Sphere ◽  
Alternative Possibility ◽  
Operator Ordering

We find that there is an alternative possibility to define the chirality operator on the fuzzy sphere, due to the ambiguity of the operator ordering. Adopting this new chirality operator and the corresponding Dirac operator, we define Connes' spectral triple on the fuzzy sphere and the differential calculus. The differential calculus based on this new spectral triple is simplified considerably. Using this formulation the action of the scalar field is derived.

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