- In mathematics,
anticommutativity is a
specific property of some non-commutative
mathematical operations.
Swapping the
position of two
arguments of an...
-
defined like the
supercharge but with the
second term
negated and it
anticommutes with the supercharges. Thus the
covariant derivative of a supermultiplet...
- a Gr****mann number,
named after Hermann Gr****mann (also
called an
anticommuting number or supernumber), is an
element of the
exterior algebra of a complex...
-
might be a
phase on the
right hand side. As C P T {\displaystyle CPT}
anticommutes with the charges, C P T Q = − Q C P T {\displaystyle CPT\,Q=-Q\,CPT}...
- the
field operators at
spacelike separated points still commute (or
anticommute), and
information and
particles still do not
propagate faster than light...
- is the loss of commutativity. In particular, the
generalized signum anticommutes with the
Dirac delta function ε ( x ) δ ( x ) + δ ( x ) ε ( x ) = 0 ;...
- the
field operators at
spacelike separated points still commute (or
anticommute), thus
preserving causality. Therefore,
information still does not propagate...
- In
quantum field theory,
fermions are
described by
anticommuting spinor fields. A four-fermion
interaction describes a
local interaction between four...
- 2 = I 4 . {\displaystyle \left(\gamma ^{5}\right)^{2}=I_{4}~.} It
anticommutes with the four
gamma matrices: { γ 5 , γ μ } = γ 5 γ μ + γ μ γ 5 = 0 ...
- periodicity. We will need to
study anticommuting matrices (AB = −BA)
because in
Clifford algebras orthogonal vectors anticommute A ⋅ B = 1 2 ( A B + B A ) =...
