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Pseudo-Goldstone excitations in chiral Yukawa-theories with quadratic explicit symmetry breaking

机译:手征Yukawa理论中的伪金石激发与二次曲线   显式对称性破缺

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摘要

The symmetry breakdown pattern is studied in models containing one fermionflavor multiplet and a multicomponent scalar field, supplemented with a chiralYukawa-interaction, and in presence of an explicit symmetry breaking sourcequadratic in the scalar field. In a detailed investigation of the model with$U_L(1) \times U_R(1)$ chiral symmetry it is shown that by diminishing thestrength of quadratic explicit symmetry breaking one can still keep stable themass ratio of the fermionic and the pseudo-Goldstone excitation. At the sametime the mass ratio of the two bosonic excitations appears to approach alimiting value depending only on the infrared value of the first ratio, but noton the microscopic (ultraviolet) coupling values. The observations receive ageneral interpretation by the existence of an ultraviolet fixed point locatedin the symmetric phase. Understanding the general conditions for its existenceallows the construction of a similar theory with $U_L(2) \times U_R(2)$ chiralsymmetry. All results of the present investigation were obtained withnonperturbative functional renormalisation group technique making use of thefirst two approximations to the gradient expansion of the effective action.
机译:在包含一个费米子味多重峰和一个多分量标量场的模型中研究了对称分解模式,该模型补充了手性汤川相互作用,并且在标量场中存在明确的对称破坏源二次方。在对具有$ U_L(1)×乘以U_R(1)$手性对称性的模型的详细研究中显示,通过减小二次显式对称性的破坏强度,仍然可以保持稳定的铁电离子和伪金石激发的质量比。 。同时,两个玻色子激发的质量比似乎仅取决于第一比例的红外值而接近极限值,而不是微观(紫外线)耦合值。通过在对称相中存在紫外线固定点,可以对观测结果进行一般性解释。理解其存在的一般条件可以构造一个类似的理论,即U_L(2)×U_R(2)$手性对称。本研究的所有结果均采用非扰动功能归一化分组技术,利用前两个近似值对有效作用进行了梯度扩展。

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