On singular perturbations of the semigroup of shifts on the algebra of canonical anticommutation relations

2019 ◽  
pp. 76-79
Author(s):  
Grigori Gennadievich Amosov ◽  
◽  
Ephim Olegovich Kholmogorov ◽  
Keyword(s):  
Singular Perturbations ◽  
Canonical Anticommutation Relations

scholarly journals The Dirac Sea, T and C Symmetry Breaking, and the Spinor Vacuum of the Universe

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 124
Author(s):  
Vadim Monakhov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Symmetry Breaking ◽  
Momentum Space ◽  
Quantum Field ◽  
Conjugation Operator ◽  
Dirac Sea ◽  
Canonical Anticommutation Relations ◽  
The Universe ◽  
Dirac Conjugation

We have developed a quantum field theory of spinors based on the algebra of canonical anticommutation relations (CAR algebra) of Grassmann densities in the momentum space. We have proven the existence of two spinor vacua. Operators C and T transform the normal vacuum into an alternative one, which leads to the breaking of the C and T symmetries. The CPT is the real structure operator; it preserves the normal vacuum. We have proven that, in the theory of the Dirac Sea, the formula for the charge conjugation operator must contain an additional generalized Dirac conjugation operator.

scholarly journals Singular Perturbations of Self-Adjoint Operators

2003 ◽  
Vol 6 (4) ◽  
pp. 349-384 ◽  
Author(s):  
Vladimir Derkach ◽  
Seppo Hassi ◽  
Henk de Snoo
Keyword(s):  
Singular Perturbations ◽  
Adjoint Operators
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