Yang mills mass gap supersync series#
Yang mills mass gap supersync free#

of: Magnetic Monopoles, Springer 2005 ( ISBN:978-2-7) Igor Klebanov, Oyvind Tafjord, “Can we quantitatively understand quark and gluon confinement in Quantum Chromodynamics and the existence of a mass gap?”, 10th of 10 Physics Problems for the Next Millennium selected at Strings 2000 Explicit mentioning of the CMI’s “mass gap” Millennium Problem in nuclear physics/ phenomenological discussion of confinement includes the following: In the nuclear physics/ QCD-literature the mass gap problem is (and has long been) known as the confinement problem. Wikipedia, Yang-Mills existence and the mass gap

Sourav Chatterjee, Yang-Mills for probabilists, in: Probability and Analysis in Interacting Physical Systems, PROMS 283 (2019) Springer ( arXiv:1803.01950, doi:10.1007/978-8-0).

Problem description in terms of probabilistic lattice gauge theory:

Jay Yablon, The Origins of QCD Confinement in Yang-Mills Gauge Theory, January 2008 ( pdf).

Notes reviewing more technical details of the problem are in

Yang mills mass gap supersync series#

Ludvig Faddeev, Mass in Quantum Yang-Mills Theory, Bull Braz Math Soc, New Series 33(2), 201-212 ( arXiv:0911.1013, pdf).Michael Douglas, Report on the Status of the Yang-Mills Millennium Prize Problem, 2004 ( pdf).Related pagesĪ survey and problem description in mathematics/ mathematical physics:Ĭlay Mathematics Institute, Yang-Mills and Mass GapĪrthur Jaffe, Edward Witten, Quantum Yang-Mills theory, 2000 ( pdf)Įarly report on the progress (essentially none): It gained more attention among the mathematics/ mathematical physics-community when the Clay Mathematics Institute declared the problem to be one in a list of “ Millennium Problems”, see Jaffe-Witten 2000, Douglas 04.

This issue is well and widely known in the particle physics-community, see for instance Kutschke 96, Section 3.1, INFN 15. not just by computer simulation) the existence of this mass gap/ confinement-phenomenon in QCD and in Yang-Mills theory coupled to fermion fields in general. The mass gap problem is the problem in mathematical physics to demonstrate theoretically (i.e. The existence of massive hadron- bound states in low-energy QCD is thus well-established phenomenologically, but it is as yet lacking a conceptual theoretical explanation.

Yang mills mass gap supersync free#

Indeed, at very high temperature QCD is thought to exhibit a quark-gluon plasma well described by these degrees of freedoms.īut at comparatively smaller temperature it is observed in experiment as well as in lattice QCD computer experiment that QCD exhibits confinement, meaning that the low energy states of the theory are not free massless quarks and gluons anymore, but that these form bound states in the form of hadrons (including, notably, protons and neutrons, and hence all the ordinary baryonic matter of the observable universe). The Lagrangian for Yang-Mills theory coupled to fermion fields (such as for QCD) makes manifest the existence of mass-less quarks and gluons. The mass gap problem is an open conceptual problem in the quantization of Yang-Mills theory, closely related to what in the phenomenology of quantum chromodynamics is called the confinement of quarks, hence the existence of ordinary hadronic, in particular baryonic matter. string theory results applied elsewhere.Particle, relativistic particle, fundamental particle, spinning particle, superparticle Gauge group, gauge transformation, gauge fixing (2,1)-dimensional Euclidean field theory and elliptic cohomology (1,1)-dimensional Euclidean field theories and K-theory Perturbative quantum field theory, vacuum Mass, charge, momentum, angular momentum, moment of inertiaĬovariant phase space, Euler-Lagrange equationsĮxtended topological quantum field theory Yang–Mills Existence and Mass Gap.Physics, mathematical physics, philosophy of physics Surveys, textbooks and lecture notesĮxperiment, measurement, computable physics Yang–Mills existence and mass gap problem is officially stated by Clay Mathematics Institute: