arXiv 1111.52922011-11-23hep-ph

手征微扰理论中的标量磁化率和电磁热质量差

Scalar susceptibilities and Electromagnetic thermal mass differences in Chiral Perturbation Theory

R. Torres Andres, A. Gomez Nicola

备注：: Proceedings of the "International School of Nuclear Physics", Erice, Italy, September 16th-September 24th 2011. 7 pages, 5 figures. To be published in Prog. Part. Nucl. Phys
DOI：: 10.1016/j.ppnp.2011.12.040

摘要：

我们用SU（3）手征微扰理论对一个圈的光标量介导性进行了热分析，并考虑了QCD中的同位旋破缺（IB）源，即来自$m_u\neq m_d$的修正.在红外区，一个相关的手征对称性恢复时，并低于临界温度的连接标量磁化率的值被发现是完全由$π^0-η$混合，这导致独立于模型的$\mathcal{O}(ε^0)$校正，其中$ε\sim m_d-m_u$，在组合$χ_{uu}-χ_{ud}$的风味破坏的可磁化率为主。我们还给出了在SU（2）手征微扰理论中考虑电磁相互作用时对π介子自能实部的修正的初步结果。零和有限温度的带电和中性的π介子的结果给出的外部π介子的三个动量的条款;和他们的差异计算到这个顺序强调的事实是，在低和中等温度下，质量分裂$M_{π^\pm}-M_{π^0}$增长与温度，至少，非零带电π质量运行内的循环。

英文摘要：

We make a thermal analysis of the light scalar susceptibilities using SU(3)-Chiral Perturbation Theory to one loop taking into account the QCD source of isospin breaking (IB), i.e corrections coming from $m_u\neq m_d$. The value of the connected scalar susceptibility in the infrared regime, the one relevant when approaching chiral symmetry restoration, and below the critical temperature is found to be entirely dominated by the $π^0-η$ mixing, which leads to model-independent $\mathcal{O}(ε^0)$ corrections, where $ε\sim m_d-m_u$, in the combination $χ_{uu}-χ_{ud}$ of flavour breaking susceptibilities. We also present preliminary results for the corrections to the real part of the pion self-energy at nexst-to-leading order in SU(2)-Chiral Perturbation Theory taking into account electromagnetic interaction. The zero and finite temperature results for the charged and neutral pions are given in terms of the three-momentum of the external pion; and their difference is calculated to this order stressing the fact that, at low and moderate temperature, the mass splitting $M_{π^\pm}-M_{π^0}$ grows with temperature for, at least, non-zero charged pion mass running inside the loops.

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