-
vacuum states. Its
hallmark under the
broken symmetry transformation is
nonvanishing vacuum expectation 〈δϕg〉, an
order parameter, for
vanishing 〈ϕg〉 = 0...
- (1) by 0, −q, and μ respectively. Then the
constant function 1 is a
nonvanishing solution corresponding to the
eigenvalue μ0 = 0.
While there is no guarantee...
- (sometimes
called the
hedgehog theorem in Europe)
states that
there is no
nonvanishing continuous tangent vector field on even-dimensional n-spheres. For the...
- 3-sphere
admits nonvanishing vector fields (sections of its
tangent bundle). One can even find
three linearly independent and
nonvanishing vector fields...
-
nonvanishing only for s ≤ x {\displaystyle s\leq x} ,
which is
called a ****ed Green's function, and
another Green's
function that is
nonvanishing only...
-
recognize the more
formal statement of the theorem, that
there is no
nonvanishing continuous tangent vector field on the sphere. As with the
Bridges of...
- of h ( x ) = 1 f ( x ) {\textstyle h(x)={\frac {1}{f(x)}}} for any (
nonvanishing)
function f {\textstyle f} is: h ′ ( x ) = − f ′ ( x ) ( f ( x ) ) 2...
-
smooth manifolds, a
congruence is the set of
integral curves defined by a
nonvanishing vector field defined on the manifold.
Congruences are an
important concept...
-
theory of
smooth manifolds, the set of
integral curves defined by a
nonvanishing vector field defined on the
manifold Congruence (general relativity)...
-
field it
couples to,
becoming its
longitudinal component, and
giving it
nonvanishing m****. This
mechanism is a
close analog of the way the
Higgs field gives...
