Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string space–time

• Published in: International journal of modern physics. A, Particles and fields, gravitation, cosmology Vol. 31; no. 7; p. 1650026
• Main Authors: Belich, H., Bakke, K.
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 10.03.2016; World Scientific Publishing Co. Pte., Ltd
• Subjects: Broken symmetry; Confining; Klein-Gordon equation; Physics; Relativism; Relativistic effects; Relativistic particles; Standard model (particle physics); Symmetry; cosmic string space–time; relativistic bound states; Lorentz symmetry violation
• ISSN: 0217-751X; 1793-656X
• DOI: 10.1142/S0217751X16500263

The behavior of a relativistic scalar particle subject to a scalar potential under the effects of the violation of the Lorentz symmetry in the cosmic string space–time is discussed. It is considered two possible scenarios of the Lorentz symmetry breaking in the CPT-even gauge sector of the Standard Model Extension defined by a tensor ( K F ) μ ν α β . Then, by introducing a scalar potential as a modification of the mass term of the Klein–Gordon equation, it is shown that the Klein–Gordon equation in the cosmic string space–time is modified by the effects of the Lorentz symmetry violation backgrounds and bound state solution to the Klein–Gordon equation can be obtained.