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Lorentz and CPT symmetries in commutative and noncommutative spacetime
High Energy Physics - Theory · Submitted 13 Mar 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our results are obtained under the general guidance of dimensional regularization, and they show that there is no room for Lorentz and CPT violation in both commutative and noncommutative spacetime.
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The abstract, sentence by sentence
We investigate the fermionic sector of a given theory, in which massive and charged Dirac fermions interact with an Abelian gauge field, including a non standard contribution that violates both Lorentz and CPT symmetries. We offer an explicit calculation in which the radiative corrections due to the fermions seem to generate a Chern-Simons-like effective action. Our results are obtained under the general guidance of dimensional regularization, and they show that there is no room for Lorentz and CPT violation in both commutative and noncommutative spacetime.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate the fermionic sector of a given theory, in which massive and charged Dirac fermions interact with an Abelian gauge field, including a non standard contribution that violates both Lorentz and CPT symmetries. | contribution 0.84 | 0.67 | 0.04 | asserted 0.92 |
| s1 | We offer an explicit calculation in which the radiative corrections due to the fermions seem to generate a Chern-Simons-like effective action. | result 0.65 | 0.92 | 0.04 | hedged possibility 0.96 |
| s2 | Our results are obtained under the general guidance of dimensional regularization, and they show that there is no room for Lorentz and CPT violation in both commutative and noncommutative spacetime. | result 0.97 | 0.94 | 0.91 | asserted 1.00 |
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Original abstract
We investigate the fermionic sector of a given theory, in which massive and charged Dirac fermions interact with an Abelian gauge field, including a non standard contribution that violates both Lorentz and CPT symmetries. We offer an explicit calculation in which the radiative corrections due to the fermions seem to generate a Chern-Simons-like effective action. Our results are obtained under the general guidance of dimensional regularization, and they show that there is no room for Lorentz and CPT violation in both commutative and noncommutative spacetime.
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