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arXiv 1402.1385hep-lathep-ph
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扭曲边界条件下的质量、衰变常数和电磁形状因子

Masses, Decay Constants and Electromagnetic Form-factors with Twisted Boundary Conditions

Johan Bijnens, Johan Relefors

摘要:

利用手征微扰理论,在单圈,我们分析了扭曲的边界条件的后果。我们指出,由于洛仑兹破缺和反射对称性的一些意想不到的条款出现在表达式。详细讨论了赝标八重态质量、轴矢量和赝标衰变常数以及电磁形状因子。我们展示了如何满足沃德恒等式使用的动量相关的质量和非零真空期望值的值的电磁(矢量)电流。给出了单圈扭转有限体积积分的显式表达式,并在附录中讨论了所需的单圈扭转有限体积积分。

英文摘要:

Using Chiral Perturbation Theory at one-loop we analyze the consequences of twisted boundary conditions. We point out that due to the broken Lorentz and reflection symmetry a number of unexpected terms show up in the expressions. We explicitly discuss the pseudo-scalar octet masses, axial-vector and pseudo-scalar decay constants and electromagnetic form-factors. We show how the Ward identities are satisfied using the momentum dependent masses and the non-zero vacuum-expectation-values values for the electromagnetic (vector) currents. Explicit expressions at one-loop are provided and an appendix discusses the needed one-loop twisted finite volume integrals.

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