Elsevier

Nuclear Physics B

Volume 169, Issues 5–6, 28 July–4 August 1980, Pages 514-526
Nuclear Physics B

Dynamical mass generation in S1 × R3

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Abstract

We study radiative corrections for a scalar field in flat space-time with topology S1 × R3. Quantum effects, and this non-trivial topology, dynamically generate mass for the field quanta. This result is deduced by the study of the effective potential. For a model with a spontaneously broken symmetry it is possible to define a critical spatial length below which the symmetry is restored. The critical length is explicitly computed for the λφ4 theory and the O(N) model for large N.

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