巴西UNESP保利斯塔州立大学Horatiu Nastase团队近日研究了非阿贝尔流体和螺旋度。这一研究成果于2025年7月1日发表在《高能物理杂志》上。

与研究组之前定义的“零场”在时间上守恒的非阿贝尔规范螺旋类似，研究组首先定义了非阿贝尔流体螺旋，然后定义了组合的非阿贝尔流体和规范场的总非阿贝尔螺旋。对于U（N）群，所考虑的螺旋度既适用于由伴随表示中的粒子组成的胶子型流体，也适用于N维Cartan子代数中的夸克型流体。 

他们写下了非耦合和耦合系统的各种拉格朗日公式。在每种情况下，研究组都确定了运动方程、对称性和哈密顿公式。以伴随表示中的流体速度为例，他们发现在胶子流体的情况下，可以写出一个非阿贝尔胶子流体Euler Yang-Mills方程，该方程保留了定义的螺旋度，且来自拉格朗日方程。

附：英文原文

Title: Nonabelian fluids and helicities

Author: Nastase, Horatiu, Sonnenschein, Jacob

Issue&Volume: 2025-07-01

Abstract: In analogy with the non-Abelian gauge helicities conserved in time for “null fields”, that we have defined previously, in this paper we first define non-Abelian fluid helicities and then total non-Abelian helicities for combined non-Abelian fluid and gauge fields. For a U(N) group the helicities considered are for both gluonic-type fluids, composed of particles in the adjoint representation, and quark-type fluids, in the N-dimensional Cartan subalgebra. We write down various Lagrangian formulations for the uncoupled and coupled systems. In each case we determine the equations of motion, symmetries, and a Hamiltonian formulation. Taking the velocity of the fluid in the adjoint representation, we find that in the case of the gluonic fluid, we can write a non-Abelian gluonic fluid Euler-Yang-Mills equation that conserves the defined helicities, and comes from a Lagrangian.

DOI: 10.1007/JHEP07(2025)015

Source: https://link.springer.com/article/10.1007/JHEP07(2025)015