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arXiv 2003.00114hep-phhep-lathep-th
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手征微扰理论在$N_f=8$、${\rm SU}(3)$光谱数据中的应用

Application of dilaton chiral perturbation theory to $N_f=8$, ${\rm SU}(3)$ spectral data

Maarten Golterman, Ethan T. Neil, Yigal Shamir

摘要:

我们扩展的手性微扰理论(dChPT),包括味道分裂的Nambu-戈德斯通部门观察到的晶格模拟与交错费米子的近共形理论。然后,我们将dChPT应用于最近LSD合作的SU(3)规范理论的模拟,该理论在基本表象中具有8个费米子,被认为在红外表现出近共形行为,并且在其中发现了轻单重标量态,几乎与π介子简并。我们发现该理论的介子部分可以成功地用dChPT描述,特别是包括,在模拟中发现的介子味觉分裂。我们确认,目前的模拟这一理论是在“大质量”的制度。

英文摘要:

We extend dilaton chiral perturbation theory (dChPT) to include the taste splittings in the Nambu--Goldstone sector observed in lattice simulations of near-conformal theories with staggered fermions. We then apply dChPT to a recent simulation by the LSD collaboration of the SU(3) gauge theory with 8 fermions in the fundamental representation, which is believed to exhibit near-conformal behavior in the infrared, and in which a light singlet scalar state, nearly degenerate with the pions, has been found. We find that the mesonic sector of this theory can be successfully described by dChPT, including, in particular, the mesonic taste splittings found in the simulation. We confirm that current simulations of this theory are in the "large-mass" regime.

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