论文标题
$ {\ cal n} = 1 $ sqcd中的质谱，带有其他无色字段和Seiberg二元性问题
Mass spectra in ${\cal N}=1$ SQCD with additional colorless fields and problems with Seiberg's duality
论文作者
论文摘要
考虑的是直接$ {\ cal n} = 1 $ SQCD $φ$ - 带有$ su（n_c）$颜色的理论和$ 3N_C/2 <n_f <2n_c $ light quarks $ {\ overline q}，\，q $。此外，它还包括$ n^2_f $附加无色但调味的字段$φ_{i}^{j} $与大质量参数$μ_φ\ggλ_q$，通过Yukawa耦合与夸克交互。同时，将其视为Seiberg的双重变体，即带有$（n_f-n_c）$双色的$dφ$ - 理论，$ n_f $ dual quarks $ {\ overline q}，\，\，\，\，{q} $ and {q} $和$ n_f^2 $ n_f^2 $ nimion fields $ mion fielts $ m^i_ i_ i_ i _ i_j \ rigrlline（ Q^i）$。 在这里考虑的真空中，这两种理论的夸克都处于尺度上的保形机制中$μ<λ_q$。质谱是在第4和5节中计算的。这表明它们在直接和双重理论中是不同的，与Seiberg假设有关两种此类理论的等效性。 此外，直接理论表明，发生了一种定性的新现象：看似重的田地$φ$返回'，并且出现了另外两代光$φ$ - 粒子，带有小块$μ^{\ rm pole} _ {2,3} _ {2,3}（φ）\llλ_q$。 总而言之，当直接理论处于非常强大的耦合状态时，这两种理论的质谱也比较了这两个理论的质谱，而双重偶联的耦合方案是在弱耦合无IR的对数方面中。结果表明，在这种情况下，这两种理论的质谱在参数上是不同的。
Considered is the direct ${\cal N}=1$ SQCD-like $Φ$-theory with $SU(N_c)$ colors and $3N_c/2< N_F<2N_c$ flavors of light quarks ${\overline Q},\,Q$. Besides, it includes $N^2_F$ additional colorless but flavored fields $Φ_{i}^{j}$ with the large mass parameter $μ_Φ\ggΛ_Q$, interacting with quarks through the Yukawa coupling. In parallel, is considered its Seiberg's dual variant, i.e. the $dΦ$-theory with $(N_F-N_c)$ dual colors, $N_F$ flavors of dual quarks ${\overline q},\,{q}$ and $N_F^2$ elementary mion fields $M^i_j\rightarrow ({\overline Q}_j Q^i)$. In considered here vacua, the quarks of both theories are in the conformal regimes at scales $μ<Λ_Q$. The mass spectra are calculated in sections 4 and 5. It is shown that they are different in the direct and dual theories, in disagreement with the Seiberg hypothesis about equivalence of two such theories. Besides it is shown in the direct theory that a qualitatively new phenomenon takes place: the seemingly heavy fields $Φ$ `return back' and there appear two additional generations of light $Φ$-particles with small masses $μ^{\rm pole}_{2,3}(Φ)\llΛ_Q$. In Conclusions also presented comparison of mass spectra of these two theories for such values of parameters when the direct theory is in the very strong coupling regime, while the dual one is in the weak coupling IR-free logarithmic regime. It is shown that mass spectra of these two theories are parametrically different in this case.
