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The vacuum structure of light-frontφ 41+1 -theory

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Zeitschrift für Physik C: Particles and Fields

Abstract

We discuss the vacuum structure ofφ 4-theory in 1+1 dimensions quantised on the light-frontx +=0. To this end, one has to solve a non-linear, operator-valued constraint equation. It expresses that mode of the field operator having longitudinal light-front momentum equal to zero, as a function of all the other modes in the theory. We analyse whether this zero mode can lead to a non-vanishing vacuum expectation value of the fieldφ and thus to spontaneous symmetry breaking. In perturbation theory, we get no symmetry breaking. If we solve the constraint, however, non-perturbatively, within a meanfield type Fock ansatz, the situation changes: while the vacuum state itself remains trivial, we find a non-vanishing vacuum expectation value above a critical coupling. Exactly the same result is obtained within a light-front Tamm-Dancoff approximation, if the renormalisation is done in the correct way.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Regensburg, D-93053, Regensburg, Germany

    T. Heinzl, C. Stern & E. Werner

  2. Institut für physikalische Chemie, LMU München, Sophienstrasse 11, D-80333, München, Germany

    B. Zellermann

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  1. T. Heinzl
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  2. C. Stern
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  3. E. Werner
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  4. B. Zellermann
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Correspondence to T. Heinzl.

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Heinzl, T., Stern, C., Werner, E. et al. The vacuum structure of light-frontφ 41+1 -theory. Z. Phys. C - Particles and Fields 72, 353–364 (1996). https://doi.org/10.1007/s002880050256

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  • DOI: https://doi.org/10.1007/s002880050256

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