- In mathematics,
anticommutativity is a
specific property of some non-commutative
mathematical operations.
Swapping the
position of two
arguments of an...
- In
quantum field theory,
fermions are
described by
anticommuting spinor fields. A four-fermion
interaction describes a
local interaction between four...
-
along with
ordinary space dimensions x, y, z, ...,
there are also "
anticommuting"
dimensions whose coordinates are
labeled in Gr****mann
numbers rather...
- 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 ) =...
- 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...
- Schwinger's
formulation was most
significant because it
could treat fermionic anticommuting fields with the same
formalism as bose fields, thus
implicitly introducing...
- field) is
called an anti-ghost. Faddeev–Popov
ghosts are
extraneous anticommuting fields which are
introduced to
maintain the
consistency of the path...
- the
field operators at
spacelike separated points still commute (or
anticommute), thus
preserving causality. Therefore,
information still does not propagate...
- {x}}\cdot ({\hat {y}}\times {\vec {\sigma }})=Z} . Also,
using the
anticommuting relation we have R y ( − π / 2 ) X R y ( π / 2 ) = X R y ( + π / 2 )...
- _{N}]}
denote the Gr****mann
algebra generated by N {\displaystyle N}
anticommuting odd
elements θ i {\displaystyle \theta _{i}} . Any
super vector V {\displaystyle...
