327,426 research outputs found
Advance in dynamical spontaneous symmetry breaking
Recently, a condition is derived for a nontrivial solution of the
Schwinger-Dyson equation to be accompanied by a Goldstone bound state in a
special quantum electrodynamics model. This result is extended and a new form
of the Goldstone theorem is obtained in a general quantum field theory
framework.Comment: 3 pages, LaTeX, no figure
Kostant homology formulas for oscillator modules of Lie superalgebras
We provide a systematic approach to obtain formulas for characters and
Kostant -homology groups of the oscillator modules of the finite
dimensional general linear and ortho-symplectic superalgebras, via Howe
dualities for infinite dimensional Lie algebras. Specializing these Lie
superalgebras to Lie algebras, we recover, in a new way, formulas for Kostant
homology groups of unitarizable highest weight representations of Hermitian
symmetric pairs. In addition, two new reductive dual pairs related to the
above-mentioned -homology computation are worked out
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