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Induced Lorentz and PCT Symmetry Breaking in an External Electromagnetic Field
High Energy Physics - Theory · Submitted 26 Dec 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this work we derive the Lorentz-PCT-violating effective action for a fermion in a constant and uniform electromagnetic field using the Fock-Schwinger proper time method and extract the exact value of the coefficient of the nonperturbatively induced Chern-Simons term.
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The abstract, sentence by sentence
In this work we derive the Lorentz-PCT-violating effective action for a fermion in a constant and uniform electromagnetic field using the Fock-Schwinger proper time method and extract the exact value of the coefficient of the nonperturbatively induced Chern-Simons term.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this work we derive the Lorentz-PCT-violating effective action for a fermion in a constant and uniform electromagnetic field using the Fock-Schwinger proper time method and extract the exact value of the coefficient of the nonperturbatively induced Chern-Simons term. | contribution 0.98 | 0.96 | 0.80 | asserted 1.00 |
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The paper
Original abstract
In this work we derive the Lorentz-PCT-violating effective action for a fermion in a constant and uniform electromagnetic field using the Fock-Schwinger proper time method and extract the exact value of the coefficient of the nonperturbatively induced Chern-Simons term.
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States a conflicting result 2 papers
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We find that the Chern-Simons term is not radiatively induced and that the effective action is CPT invariant in the given approximation.
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We show that in the functional integral formalism the (finite) coefficient of the induced, Lorentz- and CPT-violating Chern-Simons term, arising from the Lorentz- and CPT-violating fermion sector, is undetermined.
Lorentz and CPT Violating Chern-Simons Term in the Formulation of Functional Integral · 0.96
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