Algebra of superalgebraic spinors as algebra of second quantization of fermions

DOI10.7546/GIQ-22-2021-165-187zbMath1471.81046OpenAlexW3162142650MaRDI QIDQ1980319

Vadim Monakhov, Alexey Kozhedub

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-22-2021-165-187

zbMATH Keywords

second quantizationClifford algebraspace-timediscrete spaceCPTspinor vacuum

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Symmetry breaking in quantum theory (81R40) Spinor and twistor methods applied to problems in quantum theory (81R25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Clifford algebras, spinors (15A66) ``Super (or ``skew) structure (16W55) Fermionic systems in quantum theory (81V74)

Cites Work

• Perturbative algebraic quantum field theory. An introduction for mathematicians
• Generalization of Dirac conjugation in the superalgebraic theory of spinors
• A new economic scheme for CCC charts with run rules based on average number of inspected items
• An Algebraic Approach to Quantum Field Theory
• Irreducible representations of operator algebras
• REPRESENTATIONS OF THE ANTICOMMUTATION RELATIONS
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