A new method for the beta function in the chiral symmetry broken phase

A new method for the beta function in the chiral symmetry broken phase
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手性对称破缺相β函数的新方法

DOI:
10.1051/epjconf/201817508027
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发表时间:
2017
影响因子:
3.5
通讯作者:
C. Wong
C. Wong
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Z. Fodor;K. Holland;J. Kuti;D. Nógrádi;C. Wong

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我们描述了一种在规范理论的p区中利用晶格模拟来非微扰地确定规范理论的β函数的新方法。这补充了直接在零费米子质量下工作的β函数的替代测量,并弥合了与理论的质量谱相关的弱耦合微扰区和强耦合区之间的差距。我们将该方法应用于双指标对称(六重态)表示中具有两种费米子性质的规范理论。我们发现,在重整化耦合值g^2=6.7时,β函数很小,但不为零,这与我们之前在零费米子质量下的模拟是一致的。该模型仍然是近共形复合希格斯范式的一个非常有趣的明确实现,这可能与超越标准模型现象学有关。
We describe a new method to determine non-perturbatively the beta function of a gauge theory using lattice simulations in the p-regime of the theory. This complements alternative measurements of the beta function working directly at zero fermion mass and bridges the gap between the weak coupling perturbative regime and the strong coupling regime relevant to the mass spectrum of the theory. We apply this method to ${\mathrm {SU(3)} }$ gauge theory with two fermion flavors in the 2-index symmetric (sextet) representation. We find that the beta function is small but non-zero at the renormalized coupling value $g^2 = 6.7$, consistent with our previous independent investigation using simulations directly at zero fermion mass. The model continues to be a very interesting explicit realization of the near-conformal composite Higgs paradigm which could be relevant for Beyond Standard Model phenomenology.
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DOI: 10.1007/jhep06(2016)161
发表时间: 2016
影响因子: 5.4
作者:
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通讯作者: Tobias Neumann
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发表时间: 2018
影响因子: 5.4
作者:
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