Heinzl, Thomas and Stern, Christian and Werner, Ernst and Zellermann, B. (1996) The vacuum structure of light-front phi(1+1)(4)-theory. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 72 (2). pp. 353-364. ISSN 0170-9739
Full text not available from this repository.Abstract
We discuss the vacuum structure of phi(4)-theory in 1 + 1 dimensions quantised on the light-front x(+) = 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 nonvanishing vacuum expectation value of the field phi and thus to spontaneous symmetry breaking. In perturbation theory, we get no symmetry breaking. If we solve the constraint, however, non-perturbatively, within a mean-field 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SPONTANEOUS SYMMETRY-BREAKING; QUANTUM-FIELD THEORY; MASSIVE SCHWINGER MODEL; TAMM-DANCOFF APPROXIMATION; ABELIAN GAUGE-THEORY; CONE QUANTIZATION; ZERO MODES; ELECTRODYNAMICS; DIMENSIONS; QCD |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Jun 2023 10:35 |
| Last Modified: | 22 Jun 2023 10:35 |
| URI: | https://pred.uni-regensburg.de/id/eprint/51468 |
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