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arXiv 1007.0191hep-th
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Kaluza-Klein费米子和体阿贝尔规范场影响下的动力学费米子质量

Dynamical Fermion Masses Under the Influence of Kaluza-Klein Fermions and a Bulk Abelian Gauge Field

D. Ebert, V. Ch. Zhukovsky, A. V. Tyukov

摘要:

在体费米子与膜上费米子相互作用的模型中讨论了三维时空中3-膜上费米子质量的动态产生,假设体中存在常数阿贝尔规范场分量$A_5$.我们计算了作为费米子质量和规范场分量$A_5$的函数的有效势。质量可以从有效势的稳定性条件(间隙方程)中找到。我们制定的4D-费米子的质谱方程。研究了费米子质量有限和为零的相,分析了质量与第五维半径的关系。当规范场为背景参量和动力学变量时,考虑了规范场的$A_5$分量对对称性破缺的影响。考察了$A_5$场、耦合常数和半径的临界值。

英文摘要:

The dynamical fermion mass generation on a 3-brane in the 5D space-time is discussed in a model with bulk fermions in interaction with fermions on the brane assuming the presence of a constant abelian gauge field component $A_5$ in the bulk. We calculate the effective potential as a function of the fermion masses and the gauge field component $A_5$. The masses can be found from the stationarity condition for the effective potential (the gap equation). We formulate the equation for the mass spectrum of the 4D--fermions. The phases with finite and vanishing fermion masses are studied and the dependence of the masses on the radius of the 5th dimension is analyzed. The influence of the $A_5$-component of the gauge field on the symmetry breaking is considered both when this field is a background parameter and a dynamical variable. The critical values of the $A_5$ field, the coupling constant and the radius are examined.

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