电导率之间的精确关系及其与QCD物质化学组成的联系
Exact relations between the conductivities and their connection to the chemical composition of QCD matter
AI总结:
本文推导了强相互作用物质电导率间的精确关系,指出同位旋对称下非对角系数可由对角项确定,并基于LQCD结果推断电导率,讨论其近似局限及对QCD物质化学组成的启示。
摘要:
我们给出了强相互作用物质的扩散系数或电导率 κ_{qq'}/T = σ_{qq'} 之间的精确关系。我们证明,一旦在两个不同电荷表示中已知对角项,在同位旋对称性成立时,非对角系数就是对对角项的函数。作为一个重要例子,我们基于已有的格点量子色动力学(LQCD)计算结果推断电导率,并论证这些计算受到为得到它们而采用的近似的影响。此外,我们认为,相对于守恒夸克味来表示电导率,可能为强相互作用物质的化学组成提供更深入的认识。
英文摘要:
We present exact relations between the diffusion coefficients or conductivities, $κ_{qq'}/T = σ_{qq'}$, of strongly-interacting matter. We show that once the diagonal entries are known in two different charge representations, the off-diagonal coefficients are functions of the diagonal entries once isospin symmetry applies. As an important example, we infer the conductivities on the basis of available calculations from lattice quantum chromodynamics (LQCD) and argue that these computations suffer under the approximations made to achieve them. Further, we argue that the representation of the conductivities w.r.t. to the conserved quark-flavors may deliver more insight into the chemical composition of strongly-interacting matter.
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