Self-dual solitons in a CPT-odd and Lorentz-violating gauged O(3) sigma model

Casana R.; Farias C. F.; Ferreira M. M. Jr.; Lazar G.

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Self-dual solitons in a CPT-odd and Lorentz-violating gauged O(3) sigma model

机译：CPT-ODD和Lorentz违规测量的自我双重孤子o（3）Sigma模型

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We have performed a complete study of self-dual configurations in a CPT-odd and Lorentz-violating gauged O(3) nonlinear sigma model. We have consistently implemented the Bogomol'nyi-Prasad-Sommerfield (BPS) formalism and obtained the correspondent differential first-order equations describing electrically charged self-dual configurations. The total energy and magnetic flux of the vortices, besides being proportional to the winding number, also depend explicitly on the Lorentz-violating coefficients belonging to the sigma sector. The total electrical charge is proportional to the magnetic flux such as it occurs in Chern-Simons models. The Lorentz violation in the sigma sector allows one to interpolate between Lorentz-violating versions of some sigma models: the gauged O(3) sigma model and the Maxwell-Chern-Simons O(3) sigma model. The Lorentz violation enhances the amplitude of the magnetic field and BPS energy density near the origin, augmenting the deviation in relation to the solutions deprived of Lorentz violation.

机译：我们在CPT-Odd和Lorentz违规型号O（3）非线性Sigma模型中进行了完整的自我双配置研究。我们一直实施Bogomol'Nyi-Prasad-Sommerfield（BPS）形式主义，并获得了描述电荷自我双配置的通信差分一阶方程。除了与绕组数成比例的涡流的总能量和磁通量也明确地依赖于属于Sigma部门的洛伦兹违规系数。总电荷与磁通量成比例，例如其在Chern-Simons模型中发生。 Sigma部门的Lorentz违规允许人们在违反某些Sigma模型的违规版本之间插入：测量的O（3）Sigma模型和Maxwell-Chern-Simons O（3）Sigma模型。 Lorentz违规增强了磁场的幅度和靠近原点的能量密度，增强了与剥夺洛伦兹侵犯的解决方案的偏差。

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《Physical review, D》 |2016年第1期|共10页
作者
Casana R.; Farias C. F.; Ferreira M. M. Jr.; Lazar G.;
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Univ Fed Maranhao Dept Fis BR-65080805 Sao Luis Maranhao Brazil;

Univ Fed Maranhao Dept Fis BR-65080805 Sao Luis Maranhao Brazil;

Univ Fed Maranhao Dept Fis BR-65080805 Sao Luis Maranhao Brazil;

Univ Fed Maranhao Dept Fis BR-65080805 Sao Luis Maranhao Brazil;

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正文语种 eng
中图分类粒子物理学;场论;
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1. Self-dual solitons in a CPT-odd and Lorentz-violating gauged O(3) sigma model [J] . Casana R., Farias C. F., Ferreira M. M. Jr., Physical review, D . 2016,第6aPta1期

机译：CPT-ODD和Lorentz违规测量的自我双重孤子o（3）Sigma模型
2. A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF MULTISOLITONS IN A SELF-DUAL GAUGED SIGMA MODEL [J] . Yang YS. Communications in Mathematical Physics . 1996,第2期

机译：半对规SIGMA模型中多孤子存在的充要条件
3. Self-dual Maxwell-Chern-Simons solitons from a Lorentz-violating model [J] . Casana R., Sourrouille L. Physics Letters, B. Nuclear Physics and High Energy Physics . 2013,第1a3期

机译：违反洛伦兹模型的自对偶Maxwell-Chern-Simons孤子
4. GRAVITATING SELF-DUAL CYLINDRICAL SOLUTIONS IN GAUGED SIGMA MODELS [C] . Y. VERBIN, S. MADSEN, A. L. LARSEN Marcel Grossmann Meeting on General Relativity . 2005

机译：在测量的Sigma模型中引人注目的自双圆柱溶液
5. Solitons in the O(3) nonlinear sigma model: Connections to planar antiferromagnetism and high-temperature superconductors. [D] . Voruganti, Purushotham. 1989

机译：O（3）非线性sigma模型中的孤子：到平面反铁磁和高温超导体的连接。
6. Gauge fields strings solitons anomalies and the speed of life [O] . A. J. Niemi -1

机译：测量场弦孤子异常和生命速度
7. Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model [O] . Casana, R., Farias, C. F., Ferreira Jr, M. M., 2016

机译：$ CpT $ -odd和洛伦兹违规的自我双重孤子$ O（3）$ 西格玛模型
8. Multidimensional topological solitons in gauged sigma models with spontaneously broken Z (2) symmetry [R] . Bogolyubskij, I. L. , Bogolyubskaya, A. A. 1996

机译：具有自发破坏Z（2）对称性的测量sigma模型中的多维拓扑孤子

Self-dual solitons in a CPT-odd and Lorentz-violating gauged O(3) sigma model

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