Asymptotic freedom in the Hamiltonian approach to binding of color.

التفاصيل البيبلوغرافية
العنوان: Asymptotic freedom in the Hamiltonian approach to binding of color.
المؤلفون: Gómez-Rocha, María1 gomezr@ectstar.eu
المصدر: EPJ Web of Conferences. 2017, Vol. 137, p1-8. 8p.
مصطلحات موضوعية: *ASYMPTOTIC freedom, *HAMILTONIAN operator, *BETA functions, *RENORMALIZATION group, *SIMILARITY transformations, *GLUONS
مستخلص: We derive asymptotic freedom and the SU(3) Yang-Mills β-function using the renormalization group procedure for effective particles. In this procedure, the concept of effective particles of size s is introduced. Effective particles in the Fock space build eigenstates of the effective Hamiltonian Hs, which is a matrix written in a basis that depend on the scale (or size) parameter s. The effective Hamiltonians Hs and the (regularized) canonical Hamiltonian H0 are related by a similarity transformation. We calculate the effective Hamiltonian by solving its renormalization-group equation perturbatively up to third order and calculate the running coupling from the three-gluon-vertex function in the effective Hamiltonian operator. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:21016275
DOI:10.1051/epjconf/201713703020