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Effects of temperature on thick branes and the fermion (quasi-)localization

机译:温度对厚麸皮和费米子(准)定位的影响

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摘要

Following Campos’s work [Phys. Rev. Lett. 88 (2002) 141602], we investigate the effects of temperature on flat, de Sitter (dS), and anti-de Sitter (AdS) thick branes in five-dimensional (5D) warped spacetime, and on the fermion (quasi-)localization. First, in the case of flat brane, when the critical temperature reaches, the solution of the background scalar field and the warp factor is not unique. So the thickness of the flat thick brane is uncertain at the critical value of the temperature parameter, which is found to be lower than the one in flat 5D spacetime. The mass spectra of the fermion Kaluza-Klein (KK) modes are continuous, and there is a series of fermion resonances. The number and lifetime of the resonances are finite and increase with the temperature parameter, but the mass of the resonances decreases with the temperature parameter. Second, in the case of dS brane, we do not find such a critical value of the temperature parameter. The mass spectra of the fermion KK modes are also continuous, and there is a series of fermion resonances. The effects of temperature on resonance number, lifetime, and mass are the same with the case of flat brane. Last, in the case of AdS brane, the critical value of the temperature parameter can less or greater than the one in the flat 5D spacetime. The spectra of fermion KK modes are discrete, and the mass of fermion KK modes does not decrease monotonically with increasing temperature parameter.
机译:关注Campos的工作[Phys。牧师88(2002)141602],我们研究了温度对五维(5D)扭曲时空中的扁平,de Sitter(dS)和anti-de Sitter(AdS)厚麸以及费米子(准)的影响本土化。首先,在扁平焊缝的情况下,当达到临界温度时,背景标量场和翘曲因子的解并不是唯一的。因此,在温度参数的临界值处,扁平厚米糠的厚度是不确定的,该温度值低于扁平5D时空中的厚度。费米子的Kaluza-Klein(KK)模式的质谱是连续的,并且存在一系列费米子共振。共振的次数和寿命是有限的,并且随着温度参数的增加而增加,但是共振的质量随着温度参数的增加而降低。其次,在dS麸皮的情况下,我们找不到温度参数的临界值。费米子KK模式的质谱也是连续的,并且存在一系列费米子共振。温度对共振频率,寿命和质量的影响与扁平焊条的情况相同。最后,对于AdS麸皮,温度参数的临界值可以小于或大于平坦5D时空中的那个。 Fermion KK模式的光谱是离散的,并且Fermion KK模式的质量不会随温度参数的增加而单调减少。

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