Low-energy spectrum of SU(3) Yang-Mills-quantum mechanics
Семинары
Семинар «Физика адронов»
Дата и время: пятница, 26 января 2018 г., в 11:00
Место: Конференц-зал им. Блохинцева (4-й этаж), Лаборатория теоретической физики им. Н.Н. Боголюбова
Тема семинара: «Low-energy spectrum of SU(3) Yang-Mills-quantum mechanics»
Докладчик: Hans-Peter Pavel (BLTP)
Аннотация:
The low-energy spectrum of the SU(3) Yang–Mills quantum mechanics of spatially constant fields is calculated using an unconstrained Hamiltonian formulation. This has been achieved by developing a new non-perturbative gauge for low-energy QCD, the «flux-tube gauge», generalizing the gauge by Green and Gutperle from SU(2) to the case of SU(3) and carrying out an exact implementation of the non-Abelian Gauss laws. The 16 physical degrees of freedom are colorless but do not have definite spin as for the case of the symmetric gauge. However, the Faddeev–Popov operator, its determinant and inverse, are rather simple in the flux-tube gauge, and can be treated analytically, showing a highly non-trivial periodic structure of six Gribovhorizons separating six Weyl-chambers. The low-energy eigensystem of the gauge reduced Hamiltonian of SU(3) Yang–Mills mechanics can be calculated in a very effective way and in principle with arbitrary high precision using the orthonormal basis of all solutions of the corresponding harmonic oscillator problem, which turn out to be made of orthogonal polynomials of the 35 components of seven elementary spatial tensors («elementary glueballs»). I have now obtained results for all sectors JPC for spin J=0,1,2,3. They are in excellent agreement with the high-accuracy results (0++, 2++) already obtained by P. Weisz and P. Ziemann using the gauge-constrained approach, considerably improve their low-accuracy results (e.g. in the J=1,3 sectors), and give new results for sectors not considered by them, such as 0−−, 1++, 2−−, 3+−,3−+ and 3++. Also, the stability of the physical glueballs can thus be studied and the possible decay channels be determined, an important information for their experimental detection.