Quantum behavior and interactions of heavy quarks in curved spacetime or confined systems.Heavy quark physics is the study of quarks with large masses — charm, bottom, and top — and how their quantum behavior plays out in extreme conditions, such as curved spacetime near black holes or within tightly confined systems like quark-gluon plasmas. Unlike light quarks, heavy quarks move slowly relative to the typical energy scales of strong interactions, making them sensitive probes of the surrounding medium. In curved spacetime, their trajectories and spin precession reveal how quantum fields respond to gravity, while in confined systems, their bound states (like quarkonia) act as tiny clocks that measure the properties of the environment.
The concept of heavy quarks emerged in the 1970s with the discovery of the charm quark (1974) and bottom quark (1977), followed by the top quark in 1995. The theoretical framework for heavy quark effective theory was developed in the late 1980s by Estia Eichten, Howard Georgi, and others.
Heavy quarks are produced in high-energy collisions and then interact with the medium they traverse. Because their masses are much larger than the quantum chromodynamics (QCD) scale, their motion can be treated with non-relativistic approximations, simplifying calculations. In curved spacetime, the Dirac equation for a heavy quark shows how the curvature couples to the quark's spin and momentum, leading to observable effects like spin precession or shifts in energy levels. In confined systems, the heavy quark's slow velocity allows its bound states to survive longer, and their decay rates or spectral functions encode information about the medium's temperature and density.
Heavy quark physics is used to study quark-gluon plasma in heavy-ion colliders like the LHC, and to test general relativity by observing quark behavior near black holes in theoretical models.
The top quark is so heavy that it decays before it can form a bound state, making it the only quark that cannot be observed inside a hadron.
| S | variable | Action — action joule second |
| g | variable | Determinant of the metric tensor — metric determinant |
| R | variable | Ricci scalar curvature — ricci scalar reciprocal metre squared |
| d^4x | variable | Four-dimensional spacetime volume element — spacetime volume element metre to the fourth |
| G | constante | Newton's constant of universal gravitation — constante gravitationnelle = 6.67430e-11 cubic metre per kilogram per second squared |
| \int | opérateur | Integration over spacetime — opérateur intégral |
| j | variable | specific angular momentum — specific angular momentum metre squared per second |
| a | variable | semi-major axis — semi major axis metre |
| e | variable | orbital eccentricity — excentricité |
| p | variable | canonical momentum — quantité de mouvement kilogram metre per second |
| q | variable | canonical coordinate — position metre |
| n | variable | quantum number (integer) — nombre quantique |
| h | constante | fundamental constant relating energy to frequency — constante de Planck = 6.62607015e-34 joule second |
| ∮ | opérateur | integral over one full period of the motion — closed line integral |
