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Chirality (physics)

physical science Maturity 9-11 Next article →

Chirality is a fundamental property in physics describing objects that are not identical to their mirror images. In the subatomic world, this concept is closely tied to how particles spin and move through space. This "handedness" is a key feature of many particles and helps scientists understand the laws of nature. While it may seem like a simple geometric idea, chirality plays a massive role in how forces like the weak interaction work. Understanding the difference between chirality and helicity is essential for grasping how the universe is built.

To understand these concepts, we must first look at helicity. Helicity describes the relationship between a particle's spin and its direction of motion. If the spin direction matches the direction of motion, the particle has positive or "right-handed" helicity. If the spin and motion are in opposite directions, it has negative or "left-handed" helicity.

Right left helicity
Right left helicity

You can imagine a standard clock being tossed through the air. If the clock's face is directed forward and its rotation matches its flight, it has right-handed helicity. If the clock is tossed upward with its face pointing up, its helicity is left-handed while it moves up, but becomes right-handed as it falls back down.

Chirality is a more abstract and deep property than helicity. It is determined by how a particle transforms within the mathematical framework of the Poincaré group. For massless particles, such as photons and gluons, chirality and helicity are exactly the same.

Right left helicity
Right left helicity

Because massless particles move at the speed of light, no observer can travel fast enough to change how they appear. Therefore, a massless particle's helicity is a relativistic invariant, meaning it stays the same for all observers. This makes chirality and helicity identical for these specific particles.

Massive particles, such as electrons, quarks, and neutrinos, behave differently. For these particles, chirality and helicity are distinct properties. While chirality is Lorentz invariant—meaning it stays the same regardless of how an observer moves—helicity is not.

Right left helicity
Right left helicity

Because massive particles travel slower than light, an observer can move faster than the particle itself. If an observer overtakes a massive particle, the particle will appear to move backward. This change in relative direction reverses the particle's observed helicity, even though its underlying chirality remains unchanged.

One of the most surprising discoveries in physics involves how the universe treats these different handednesses. Physicists observed that the charged weak interaction only engages with left-chiral fermions and right-chiral antifermions. This means the universe shows a clear preference for one type of chirality over the other. This preference violates parity, a type of symmetry where left and right are treated equally.

Right left helicity
Right left helicity

This phenomenon was famously demonstrated by Chien Shiung Wu in her landmark experiment, known as the Wu experiment. Her work proved that the fundamental laws of nature are not perfectly symmetrical.

This asymmetry is why we categorize different physical theories. A theory that treats both chiralities the same way is called a vector theory. For example, quantum chromodynamics (QCD) is a vector theory because it treats both chiralities of quarks equally. In contrast, the electroweak theory is a chiral theory because it does not respect parity symmetry.

Right left helicity
Right left helicity

Even though we now know neutrinos have mass due to the discovery of neutrino oscillations, the electroweak theory remains a chiral theory. It continues to be a cornerstone of the Standard Model of particle physics.

Chirality also relates to the concept of chiral symmetry in quantum fields. In theories with massless particles, rotating left-handed and right-handed components independently can leave the theory unchanged. This is known as chiral symmetry. However, massive fermions do not exhibit this symmetry because their mass term breaks it.

Right left helicity
Right left helicity

In quantum chromodynamics, this symmetry can be "spontaneously broken" by the action of gluons. This process is incredibly important because it is responsible for generating the bulk of the mass found in visible matter, such as the mass of nucleons.

Finally, some scientists have proposed ways to fix the apparent lack of symmetry in our models. Some theorists have conjectured Grand Unified Theory (GUT) extensions that introduce new bosons. These models attempt to restore parity by introducing a left-right symmetry.

Right left helicity
Right left helicity

These theories suggest that at very high energies, the universe might actually be more symmetrical than it appears to us at low energies. This connects the study of chirality to the very beginnings of the universe and the fundamental structure of all matter.

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