论文标题
手性宇宙学的FRW的经典和量子精确解决方案
Classical and quantum exact solutions for a FRW in chiral like cosmology
论文作者
论文摘要
在这项工作中,首先,我们研究了一个具有两个标量字段的Friedmann-Robertson-Walker宇宙,但只有一个潜在的术语,可以将其视为一个简单的精髓和K- essence模型。利用哈密顿形式主义,我们能够获得经典和量子解决方案。研究的第二个模型也是具有两个标量场的扁平弗里德曼 - 罗伯逊走动宇宙,其差异是两种电势被认为是标准的动能和混合项(手性场方法)。关于第二个模型,可以显示将伴随混合力量术语的系数设置为零,可以研究两种可能的情况:类似五重奏的情况($ m^{12} _ {+} $),类似case($ m^{12} _ {_ { - { - } $)。对于这两种情况,都介绍了经典和量子解决方案。
In this work, first, we study a flat Friedmann-Robertson-Walker Universe with two scalar fields but only one potential term, which can be thought as a simple quintessence plus a K-essence model. Employing the Hamiltonian formalism we are able to obtain the classical and quantum solutions. The second model studied, is also a flat Friedmann-Robertson-Walker Universe with two scalar fields, with the difference that the two potentials are considered as well as the standard kinetic energy and the mixed term (chiral field approach). Regarding this second model, it is shown that setting to zero the coefficient accompanying the mixed momenta term, two possible cases can be studied: a quintom like case ($m^{12}_{+}$) and a quintessence like case ($m^{12}_{-}$). For both scenarios classical and quantum solutions are presented.