SPONTANEOUS SYMMETRY-BREAKING IN LIGHT-CONE QUANTUM-FIELD THEORY

HEINZL, T and KRUSCHE, S and WERNER, E (1991) SPONTANEOUS SYMMETRY-BREAKING IN LIGHT-CONE QUANTUM-FIELD THEORY. PHYSICS LETTERS B, 272 (1-2). pp. 54-60. ISSN 0370-2693,

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Abstract

We reexamine light cone quantisation of scalar field theories with a spontaneously broken internal symmetry. To this end we use the Dirac-Bergmann algorithm for quantisation of constrained systems. Carefully taking into account the zero modes with light cone momentum kappa+ = 0, we obtain secondary constraints which determine the (tree level) vacuum structure of the theories. In 1 + 1 dimensions spontaneous symmetry breaking shows up in terms of a direct sum decomposition of the Hilbert space corresponding to the discrete phases of the theory. In 3 + 1 dimensions, when a continuous symmetry is spontaneously broken, one finds additional first class constraints corresponding to the broken group generators.

Item Type: Article
Uncontrolled Keywords: INFINITE-MOMENTUM FRAME; ONE TIME DIMENSION; DIRAC FIELDS; ONE SPACE; QUANTIZATION; SCALAR;
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:46
URI: https://pred.uni-regensburg.de/id/eprint/54787

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