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Nonabelian fluids and helicities

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Autor(es):
Nastase, Horatiu ; Sonnenschein, Jacob
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; v. N/A, n. 7, p. 38-pg., 2025-07-01.
Resumo

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. (AU)

Processo FAPESP: 21/14335-0 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para Física Teórica
Beneficiário:Nathan Jacob Berkovits
Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais
Processo FAPESP: 19/21281-4 - Dualidade gravitação / Teoria de gauge
Beneficiário:Horatiu Stefan Nastase
Modalidade de apoio: Auxílio à Pesquisa - Temático