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arXiv 0907.1924hep-th
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标准模型推广的CPT偶和宇称偶电动力学的有限温度行为

Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension

Rodolfo Casana, Manoel M. Ferreira, Josberg S. Rodrigues, Madson R. O. Silva

摘要:

在这项工作中,我们研究有限的温度特性的CPT-甚至和洛伦兹不变性违反(LIV)电动力学的标准模型扩展,表示为长期$W_{ανρϕ}F^{αν}F^{ρϕ}$。我们开始分析的哈密尔顿结构的狄拉克的程序约束系统和构造一个定义良好的和规范不变的配分函数的功能积分形式主义。接下来,我们专门研究张量$W_{ανρϕ}$的非双折射系数。在续集中,显式地进行了张量$W_{ανρϕ}$的奇偶偶扇区的配分函数。修正的配分函数是麦克斯韦配分函数的幂。据观察,LIV系数诱导的黑体角能量密度分布的各向异性。然而,普朗克辐射定律保留了它的频率依赖性,斯特凡-玻尔兹曼定律保持了通常的形式,除了斯特凡-玻耳兹曼常量改变了一个包含LIV贡献的因子。

英文摘要:

In this work, we examine the finite temperature properties of the CPT-even and Lorentz-invariance-violating (LIV) electrodynamics of the standard model extension, represented by the term $W_{ανρϕ}F^{αν}F^{ρϕ}$. We begin analyzing the hamiltonian structure following the Dirac's procedure for constrained systems and construct a well-defined and gauge invariant partition function in the functional integral formalism. Next, we specialize for the non-birefringent coefficients of the tensor $W_{ανρϕ}$. In the sequel, the partition function is explicitly carried out for the parity-even sector of the tensor $W_{ανρϕ}$. The modified partition function is a power of the Maxwell's partition function. It is observed that the LIV coefficients induce an anisotropy in the black body angular energy density distribution. The Planck's radiation law, however, retains its frequency dependence and the Stefan-Boltzmann law keeps the usual form, except for a change in the Stefan-Boltzmann constant by a factor containing the LIV contributions.

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