# Quantum Electrodynamics (QED)

### theory particles photons virtual

Quantum electrodynamics (QED) is a complex and highly mathematical theory regarding the interaction of electromagnetic **radiation** with **matter**. The development of QED theory was essential in the verification and development of quantum field theory and it allows physicists to predict how **subatomic particles** are created or destroyed. QED is a fundamentally important scientific theory that accounts for all observed physical phenomena except those phenomena associated with aspects of general relativity theory and **radioactive decay**. QED is compatible with special relativity theory and special relativity equations are incorporated into QED equations. QED is also termed a gauge-invariant theory because its predictions are not affected by variations in **space** or **time**.

The practical value of QED theory is that it allows physicists to make calculations regarding the absorption and **emission** of **light** by **atoms**. In addition, QED provides very accurate predictions regarding the interactions between photons and charged atomic particles such as electrons.

During the first half of the twentieth century physicists struggled to reconcile Scottish physicist James Clerk Maxwell's (1831–1879) equations regarding **electromagnetism** with the emerging quantum and relativistic theories advanced by German physicist Maxwell Planck (1858–1947), Danish physicist Niels Bohr (1885–1962), German-American physicist Albert Einstein (1879–1955) and others. Prior to World War II, English physicist P.A.M. Dirac (1902–1984), German physicist Werner Heisenberg (1901–1976), and Austrian-born American physicist Wolfgang Pauli (1900–1958) made significant independent contributions to the mathematical foundations related to QED. Working with QED theory initially proved difficult, however, because of infinite values in the mathematical calculations (e.g., for emission rates or determinations of **mass**). Early QED predictions often failed to match experimental data. Subsequently, QED calculations were made more reliable by a process termed renormalization (allowing positive infinities to **cancel** out **negative** infinities) and other advances developed independently by American physicists Richard Feynman (1918–1988) and Julian Schwinger (1918–1994), and Japanese physicist Shin'ichir Tomonga (1906–1979).

The use of renormalization initially allowed QED theorists to use measured values of mass and charge in QED calculations. The result made QED a highly reliable theory with regard to its ability to predict and reflect the observed interactions of electrons and photons. QED theory was, however, revolutionary in theoretical **physics** because of the nature and methodology of its predictions. QED reflected a growing awareness of limitations on the ability to make predictions regarding behavior of subatomic particles. Instead of making predictions resulting from mechanistic cause-and-effect interactions, QED relies on an understanding of the probabilities associated with the quantum properties and behavior of subatomic particles to allow the calculation of probabilities regarding outcomes of subatomic interactions.

As **quarks**, gluons, and other subatomic particles became known, QED became an increasingly important in explaining the structure, properties and reactions of these particles. QED, also known as the quantum theory of light, eventually became one of the most precise, accurate, and well tested theories in science. QED predictions of the mass of some subatomic particles, for example, offer results accurate to six significant figures or more.

QED describes the phenomena of light in ways that are counter-intuitive (not typical of everyday experience) because QED treats the quantum properties of light (properties that are conserved and that occur in discrete amounts called quanta). According to QED theory, light exists in a particle and wave-like dualities (i.e., the electromagnetic wave has both particle and wave-like properties). Electromagnetism results from the quantum properties of the **photon**, the fundamental particle responsible for the transmission or propagation of electromagnetic radiation. Unlike the particles of everyday experience, photons, can also exist as **virtual particles** that are constantly exchanged between charged particles and the forces of **electricity** and **magnetism** arise from the exchange of these virtual photons between charged particles.

The most accurate and complete definitions of virtual particles (e.g., virtual photons) are mathematical. Most non-mathematical descriptions, however, usually describe virtual photons as wave-like (i.e., existing in form like a wave on the surface of **water** after it is touched). According to QED theory, virtual photons are passed back and forth between the charged particles somewhat like basketball players passing a ball between them as run down the court. Only in their cloaked or hidden state do photons act as mediators of **force** between particles. The force caused by the exchange of virtual photons results from changes charged particles change their **velocity** (speed and/or direction of travel) as they absorb or emit virtual photons.

As virtual particles, photons are cloaked from observation and measurement. Accordingly, as virtual particles, virtual photons can only be detected by their effects. The naked transformation of a virtual particle to a real particle would violate the laws of physics specifying the **conservation** of **energy** and **momentum**. Photons themselves are electrically neutral and only under special circumstances and as a result of specific interactions do virtual photons become real photons observable as light.

QED theory accounts, for example, for the interactions of electrons, positrons (the positively charged **antiparticle** to the **electron**), and photons. In electron-positron fields, electron-positron pairs come into existence as photons interact with these fields. According to QED theory, the process also operates in reverse to allow photons to create a particle and its antiparticle (e.g., an electron and a positron).

QED mathematically describes a force similar to gravity in that it becomes weaker as the distance between charged particles increases. Like gravity, the force reduces in strength as the inverse square of the distance between charged particles. Moreover, the concept of forces such as electromagnetism arising from the exchange of virtual particles may carry profound implications regarding the advancement of theories relating to the strong, electroweak, and gravitational forces. Some physicists assert that if a unified theory can be found, it will rest on the foundations and methodologies established during the development of QED theory.

See also Atomic models; Atomic spectroscopy; Bohr model; Electromagnetic field; Electromagnetic spectrum; Quantum mechanics.

## Resources

### Books

Bohr, Niels. *The Unity of Knowledge.* New York: Doubleday & Co., 1955.

Feynman, Richard P. *QED: The Strange Theory of Light and Matter.* New Jersey: Princeton University Press, 1985.

Feynman, Richard P. *The Character of Physical Law.* MIT Press, 1965.

Griffiths, Robert B. *Consistent Quantum Theory.* Cambridge, MA: Harvard University Press, 2002.

Omnes, Roland. *Understanding Quantum Mechanics.* Princeton, NJ: Princeton University Press, 1999.

Pasachoff, Naomi. *Niels Bohr: Physicist and Humanitarian* Enslow Publishers, 2003.

Silverman, Mark. *Probing the Atom* Princeton, NJ: Princeton University Press, 2000.

### Other

Kansas State University. "Visual Quantum Mechanics" [cited February 5, 2003]. <http://phys.educ.ksu.edu/>.

K. Lee Lerner

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