45,994 research outputs found
Primitive Vassiliev Invariants and Factorization in Chern-Simons Perturbation Theory
The general structure of the perturbative expansion of the vacuum expectation
value of a Wilson line operator in Chern-Simons gauge field theory is analyzed.
The expansion is organized according to the independent group structures that
appear at each order. It is shown that the analysis is greatly simplified if
the group factors are chosen in a certain way that we call canonical. This
enables us to show that the logarithm of a polinomial knot invariant can be
written in terms of primitive Vassiliev invariants only.Comment: 15 pages, latex, 2 figure
Symplectic gauge fields and dark matter
The dynamics of symplectic gauge fields provides a consistent framework for
fundamental interactions based on spin three gauge fields. One remarkable
property is that symplectic gauge fields only have minimal couplings with
gravitational fields and not with any other field of the Standard Model.
Interactions with ordinary matter and radiation can only arise from radiative
corrections. In spite of the gauge nature of symplectic fields they acquire a
mass by the Coleman-Weinberg mechanism which generates Higgs-like mass terms
where the gravitational field is playing the role of a Higgs field. Massive
symplectic gauge fields weakly interacting with ordinary matter are natural
candidates for the dark matter component of the Universe.Comment: 16 page
Casimir Effect and Global Theory of Boundary Conditions
The consistency of quantum field theories defined on domains with external
borders imposes very restrictive constraints on the type of boundary conditions
that the fields can satisfy. We analyse the global geometrical and topological
properties of the space of all possible boundary conditions for scalar quantum
field theories. The variation of the Casimir energy under the change of
boundary conditions reveals the existence of singularities generically
associated to boundary conditions which either involve topology changes of the
underlying physical space or edge states with unbounded below classical energy.
The effect can be understood in terms of a new type of Maslov index associated
to the non-trivial topology of the space of boundary conditions. We also
analyze the global aspects of the renormalization group flow, T-duality and the
conformal invariance of the corresponding fixed points.Comment: 11 page
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