quantum field renormalization

A stone thrown at a wall bounces off. In the quantum world, a particle can pass right through, as if the wall were woven from mist. This is quantum tunneling: it lights up stars, works in microchips, and even operates in the cells of our bodies. But most particles have spin — an intrinsic rotation, like a spinning top.

After a hit, a black hole rings like a bell. But instead of sound, it emits gravitational waves whose frequency rapidly decays: these are called quasinormal modes. From such a 'ring,' you can infer the hole's mass, spin, and other properties.

Quantum electrodynamics, or QED, describes how light interacts with charged particles — for example, electrons. It is one of the most precise theories in history: its predictions match experiment to the eleventh decimal place.

Two clouds of ultracold atoms, almost frozen at temperatures of a few nanokelvins, mix in a trap. One cloud consists of light atoms, the other of heavy ones. They push each other differently. Physicists have long been able to describe such mixtures with simple equations, but those work only if the atoms are perfectly identical.

Gravity is a cosmic net: massive bodies stretch it, and lighter objects roll along its curves. But in the world of atoms, this net begins to tremble chaotically, producing infinite values in the equations. Spacetime curvature ceases to be smooth. Usually, quantum corrections to gravity explode into infinities.

A guitar string decides for itself how tightly to stretch when a musician plays a chord in different octaves. That's roughly the picture physicists paint when they try to unite gravity, the weakest but most pervasive force, with the quirky laws of the microcosm.

Strike a bell, and it responds with its own note. Likewise, a black hole disturbed by the fall of a star or another black hole begins to 'ring,' emitting gravitational waves. But instead of sound, it's the trembling of space itself, and instead of a single note, a whole set of decaying frequencies. These are called quasinormal modes.

A tailor cuts a suit, but the seams pucker and the buttons won't align. In quantum field theory, similar glitches are called anomalies: they appear when a symmetry of the equations breaks down in the transition to a quantum description. Usually, they are fixed by sewing in extra patches, the so-called Bardeen–Wess–Zumino counterterms.

An orchestra without a conductor is playing, and suddenly, without any visible cue, the violins grow louder and the woodwinds shift slightly in time. From the outside, nothing seems to have changed, but inside the ensemble, a regrouping has occurred. This is roughly how small physical systems behave during so-called third-order pseudotransitions.

Inside large particle accelerators, there are hollow metal chambers where beams are accelerated. Over time, grime settles on their walls, like in an old pan. This grime prevents the accelerator from running at full power. To restore the accelerator's strength, plasma, a glowing gas of argon or neon with a bit of oxygen, is sent into the chamber.

The hydrogen atom is like a tiny clock, ticking with a precision engineers can only dream of. When an electron jumps between orbits, it absorbs or emits light at a strictly defined frequency: that's the 'tick.' In the new work, physicists caught one such transition, between the 2S and 6P states, and measured its frequency with an…

An unstable atomic nucleus is like a drop of water on a sizzling skillet: it exists for only a moment, and its shape is constantly changing. Physicists have learned to describe such drops — nuclei that live for less than a billionth of a second and decay almost as soon as they are born.