Spectrum generating affine Lie algebras in massive field theory

作者: André LeClair

DOI: 10.1016/0550-3213(94)90308-5

关键词: Quantum mechanicsComplex spaceAffine planeAffine geometryPhysicsAffine Lie algebraAffine groupAffine coordinate systemMathematical physicsQuantum affine algebraAffine representation

摘要: Abstract We present a new application of affine Lie algebras to massive quantum field theory in two dimensions, by investigating the q → 1 limit -deformed symmetry sine-Gordon theory, this occurring at free fermion point. describe how radial quantization leads quasi-chiral factorization space fields. The conserved charges which generate algebra split into independent on factorized space, each with level one, anti-periodic sector. fields sector can be organized using level-one highest-weight representations, if one supplements usual local integrals motion. Using motion, momentum bosonization involving vertex operators is formulated. This way computing form factors, as vacuum expectation values space.

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