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Dynamical Lorentz Symmetry Breaking from 3 + 1 Renormalizable Model with Wess-Zumino Interaction
High Energy Physics - Theory · Submitted 13 Dec 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The modified effective potential for the pseudoscalar matter leads to the occurrence of the quantum dynamical breaking of Lorentz symmetry.
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The abstract, sentence by sentence
We study the renormalizable abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. The renormalizability is achieved by supplementing the standard kinetic term of vector fields with higher derivatives. The appearance of fourth power of momentum in the vector-field propagator leads to the super-renormalizable theory in which the beta-function, the vector-field renormalization constant and the anomalous mass dimension are calculated exactly. It is shown that this model has the infrared stable fixed point and its low-energy limit is non-trivial. The modified effective potential for the pseudoscalar matter leads to the occurrence of the quantum dynamical breaking of Lorentz symmetry.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the renormalizable abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. | contribution 0.96 | 0.86 | 0.03 | asserted 0.77 |
| s1 | The renormalizability is achieved by supplementing the standard kinetic term of vector fields with higher derivatives. | method 0.92 | 0.66 | 0.03 | asserted 1.00 |
| s2 | The appearance of fourth power of momentum in the vector-field propagator leads to the super-renormalizable theory in which the beta-function, the vector-field renormalization constant and the anomalous mass dimension are calculated exactly. | result 0.87 | 0.88 | 0.10 | asserted 1.00 |
| s3 | It is shown that this model has the infrared stable fixed point and its low-energy limit is non-trivial. | result 0.99 | 0.91 | 0.13 | asserted 1.00 |
| s4 | The modified effective potential for the pseudoscalar matter leads to the occurrence of the quantum dynamical breaking of Lorentz symmetry. | result 0.99 | 0.88 | 0.81 | asserted 1.00 |
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The paper
Original abstract
We study the renormalizable abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. The renormalizability is achieved by supplementing the standard kinetic term of vector fields with higher derivatives. The appearance of fourth power of momentum in the vector-field propagator leads to the super-renormalizable theory in which the beta-function, the vector-field renormalization constant and the anomalous mass dimension are calculated exactly. It is shown that this model has the infrared stable fixed point and its low-energy limit is non-trivial. The modified effective potential for the pseudoscalar matter leads to the occurrence of the quantum dynamical breaking of Lorentz symmetry.
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