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外文期刊>The journal of high energy physics
>Fractional instantons and bions in the principal chiral model on $$ {mathrm{mathbb{R}}}^2imes {S}^1 $$ with twisted boundary conditions
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Fractional instantons and bions in the principal chiral model on $$ {mathrm{mathbb{R}}}^2imes {S}^1 $$ with twisted boundary conditions
A bstract Bions are multiple fractional instanton configurations with zero instanton charge playing important roles in quantum field theories on a compactified space with a twisted boundary condition. We classify fractional instantons and bions in the SU( N ) principal chiral model on ? 2 × S 1 $$ {mathrm{mathbb{R}}}^2imes {S}^1 $$ with twisted boundary conditions. We find that fractional instantons are global vortices wrapping around S _(1) with their U(1) moduli twisted along S _(1), that carry 1 /N instanton (baryon) numbers for the ? N $$ {mathrm{mathbb{Z}}}_N $$ symmetric twisted boundary condition and irrational instanton numbers for generic boundary condition. We work out neutral and charged bions for the SU(3) case with the ? 3 $$ {mathrm{mathbb{Z}}}_3 $$ symmetric twisted boundary condition. We also find for generic boundary conditions that only the simplest neutral bions have zero instanton charges but instanton charges are not canceled out for charged bions. A correspondence between fractional instantons and bions in the SU( N ) principal chiral model and those in Yang-Mills theory is given through a non-Abelian Josephson junction.
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机译：Bstract磁孔是多重分数算子配置，其零Instanton电荷在具有扭曲边界条件的压实空间上的量子场理论中起重要作用。我们在SU（N）主手性模型中分类分数算子和果实？ 2×s 1 $$ { mathrm { mathbb {r}} ^ 2 times {s} ^ 1 $$ with tworded边界条件。我们发现，分数液体是全球涡旋，周围围绕S _（1）与他们的U（1）模具沿S _（1）扭曲，它为此携带1 / n Instanton（Baryon）编号？ n $$ { mathrm { mathbb {z}}} _ n $$对称扭曲边界条件和非晶边界条件的非理性算子编号。我们为SU（3）案例锻炼中立和带电的晶片吗？ 3 $$ { mathrm { mathbb {z}}} _ 3 $$对称扭曲边界条件。我们还发现，只有最简单的中性晶片的通用边界条件，只有零Instanton费用，而且无法抵消电荷的磁晶片。通过非阿比越亚约瑟夫森交汇处给出了苏（n）主手性手术模型和阳磨机中的分数中的分数算子和晶片之间的对应关系。
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