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首页> 外文期刊>Physical review, D >General structure of fermion two-point function and its spectral representation in a hot magnetized medium
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General structure of fermion two-point function and its spectral representation in a hot magnetized medium

机译：热磁化介质中FERMION两点函数的一般结构及其光谱表示

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We have systematically constructed the general structure of the fermion self-energy and the effective quark propagator in the presence of a nontrivial background such as a hot magnetized medium. This is applicable to both QED and QCD. The hard thermal loop approximation has been used for the heat bath. We have also examined transformation properties of the effective fermion propagator under some of the discrete symmetries of the system. Using the effective fermion propagator we have analyzed the fermion dispersion spectra in a hot magnetized medium along with the spinor for each fermion mode obtained by solving the modified Dirac equation. The fermion spectra is found to reflect the discrete symmetries of the two-point functions. We note that for a chirally symmetric theory the degenerate left- and right-handed chiral modes in vacuum or in a heat bath get separated and become asymmetric in the presence of a magnetic field without disturbing the chiral invariance. The obtained general structure of the two-point functions is verified by computing the three-point function, which agrees with the existing results in one-loop order. Finally, we have computed explicitly the spectral representation of the two-point functions which would be very important to study the spectral properties of the hot magnetized medium corresponding to QED and QCD with background magnetic field.
机译：我们系统地构建了FERMION自能和有效夸克传播器的一般结构，并且在诸如热磁化介质的非浪潮背景下存在。这适用于QED和QCD。硬热环近似已用于热浴。我们还在系统的一些离散对称下检查了有效的FERMION传播者的转变性质。使用有效的Fermion传播器，我们已经通过求解改进的DIRAC方程获得的每个度差线模式，在热磁化介质中分析了热磁化介质中的离子分散光谱。发现FERMION光谱反映了两点函数的离散对称性。我们注意到，对于手套对称理论，真空或在热浴中的退化左右手性模式在磁场存在下分离并在不干扰手性不变性的情况下在磁场存在下不对称。通过计算三点函数来验证所获得的两点函数的一般结构，这与一个环路顺序同意现有结果。最后，我们已经明确地计算了两点函数的光谱表示，这对于研究对应于QED和QCD的热磁化介质的光谱特性是非常重要的。

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