33.2 The Four Basic Forces

3 min readjune 18, 2024

The four of nature govern all interactions in the universe. , electromagnetism, , and each play unique roles in shaping our world, from holding atoms together to controlling the motion of planets.

These forces are described by complex theories like general relativity and . Understanding their properties, strengths, and ranges helps us make sense of everything from particle interactions to cosmic phenomena.

The Four Fundamental Forces

Four fundamental forces of nature

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  • Gravity: weakest of the four forces; attracts objects with mass; described by Einstein's theory of general relativity; has an infinite range
  • : attracts or repels charged particles; mediated by the exchange of ; described by and ; has an infinite range
  • Strong nuclear force: strongest of the four forces; binds together to form (protons, neutrons); mediated by the exchange of ; has a short range approximately the size of an atomic nucleus
  • Weak nuclear force: responsible for and neutrino interactions; mediated by the exchange of W and ; has a short range approximately 10^-18 meters

Virtual photons in electromagnetic interactions

  • represent particle interactions in spacetime with time typically represented vertically and space represented horizontally
  • Electromagnetic interactions involve the exchange of which do not satisfy the usual energy-momentum relationship (E^2 = p^2c^2 + m^2c^4) and are represented by wavy lines in Feynman diagrams
  • Examples of electromagnetic interactions in Feynman diagrams:
    • : two electrons exchange a virtual photon causing them to repel each other
    • : an electron and a positron annihilate producing two real photons

Principles of quantum electrodynamics

  • QED is a relativistic quantum that describes electromagnetic interactions
  • Key principles of QED:
    • Particles are represented by fields that permeate spacetime
    • Interactions between particles are mediated by the exchange of virtual photons ()
    • The strength of an interaction is determined by the coupling constant (, α ≈ 1/137)
  • QED successfully explains phenomena such as:
    • : the difference in energy levels of the hydrogen atom due to virtual particle interactions
    • of the electron: the deviation of the electron's magnetic moment from the classical value
  • QED is a part of the of particle physics which describes the electromagnetic, weak, and strong interactions

Strong force in nucleon interactions

  • The strong nuclear force is described by (QCD) where quarks have a property called "" (red, green, or blue) and gluons, the mediators of the strong force, also carry color charge
  • Proton-neutron interactions involve the exchange of virtual mesons () which are composed of a quark and an antiquark with virtual pion exchange responsible for the attractive force between protons and neutrons in atomic nuclei
  • Feynman diagrams for strong interactions:
    • : two quarks exchange a virtual gluon leading to the confinement of quarks within hadrons
    • : a proton and a neutron exchange a virtual pion contributing to the binding energy of the nucleus

Theoretical Foundations and Unification

  • Field theory: provides a framework for describing fundamental forces as interactions between quantum fields
  • : a principle that underlies the mathematical description of fundamental forces in quantum field theories
  • : attempt to combine multiple fundamental forces into a single, unified description of nature

Key Terms to Review (35)

Anomalous Magnetic Moment: The anomalous magnetic moment is a small, additional magnetic moment that certain subatomic particles, such as the electron, possess beyond what would be expected from their intrinsic angular momentum or 'spin'. This deviation from the predicted magnetic moment is an important quantum mechanical effect that provides insights into the internal structure and behavior of these particles.
Color Charge: Color charge is a fundamental property of quarks, the elementary particles that make up hadrons like protons and neutrons. It is a type of charge that determines the strong interaction between quarks and gluons, the force carriers of the strong nuclear force, and is a key concept in the theory of quantum chromodynamics (QCD).
Coupling Constants: Coupling constants are dimensionless parameters that quantify the strength of the fundamental interactions in particle physics, such as the strong, weak, electromagnetic, and gravitational forces. These constants determine the probability of interaction between particles and the rate at which various processes occur in nature.
Electromagnetic Force: The electromagnetic force is one of the four fundamental forces in nature, along with the strong nuclear force, the weak nuclear force, and gravity. It is the force that governs the interactions between electrically charged particles, manifesting as both electric and magnetic fields that can attract, repel, or otherwise influence the motion of charged particles.
Electron-Electron Scattering: Electron-electron scattering is the process in which two electrons interact with each other through the electromagnetic force, resulting in a change in their direction and/or energy. This phenomenon is an important concept in the context of the four basic forces in physics.
Electron-Positron Annihilation: Electron-positron annihilation is a process in which an electron and its antiparticle, the positron, collide and annihilate each other, converting their mass into energy in the form of high-energy photons. This phenomenon is a fundamental interaction in particle physics and is closely related to the four basic forces discussed in the context of Chapter 33.2 The Four Basic Forces.
Feynman diagram: A Feynman diagram is a graphical representation of the interactions between particles, illustrating the paths taken by particles and their interactions via force-carrying particles. These diagrams simplify complex mathematical calculations in quantum field theory.
Feynman Diagrams: Feynman diagrams are graphical representations used in quantum field theory to visualize the mathematical expressions governing the behavior of subatomic particles and the fundamental forces of nature. These diagrams provide a powerful tool for understanding and calculating the probabilities of particle interactions and processes.
Field Theory: Field theory is a conceptual framework in physics that describes the fundamental forces of nature, such as gravity, electromagnetism, and the strong and weak nuclear forces, in terms of fields. These fields are mathematical representations of the physical quantities that exist throughout space and time, and they govern the behavior of particles and the interactions between them.
Fine-Structure Constant: The fine-structure constant, denoted by the Greek letter α (alpha), is a dimensionless physical constant that characterizes the strength of the electromagnetic interaction between electrically charged particles. It is a fundamental quantity in quantum electrodynamics (QED) and plays a crucial role in understanding the four basic forces in physics.
Force Carriers: Force carriers, also known as messenger particles, are the fundamental particles responsible for transmitting the four basic forces of nature: the strong force, the weak force, the electromagnetic force, and gravity. These particles mediate the exchange of energy and momentum between interacting particles, enabling the forces to be felt and experienced.
Fundamental Forces: Fundamental forces, also known as the four fundamental interactions, are the basic forces that govern the behavior of all matter and energy in the universe. These forces are the foundation upon which the entire physical world is built, and understanding them is crucial to comprehending the underlying principles of the natural world.
Gauge Symmetry: Gauge symmetry is a fundamental concept in quantum field theory that describes the local invariance of physical laws under certain transformations of the fields. It is a crucial aspect of the mathematical framework that underpins our understanding of the four basic forces in nature: the strong, weak, electromagnetic, and gravitational forces.
Gluons: Gluons are the force carriers of the strong nuclear force, which is one of the four fundamental forces in nature. They are responsible for binding together the quarks that make up hadrons, such as protons and neutrons, by mediating the strong interaction between them. Gluons play a crucial role in the context of relativistic energy, the four basic forces, and the study of quarks.
Gravity: Gravity is a fundamental force of nature that attracts objects with mass towards each other. It is the force that keeps planets in orbit around the sun and causes objects to accelerate downwards towards the Earth's surface. Gravity is a crucial concept in understanding the motion of falling objects, projectile motion, and the four basic forces that govern the universe.
Hadrons: Hadrons are a class of subatomic particles that interact through the strong nuclear force. They are composed of quarks and are the building blocks of more complex particles, such as protons and neutrons, that make up the nuclei of atoms.
Lamb Shift: The Lamb shift is a small difference in the energy levels of an electron in an atom, specifically the difference between the $2S_{1/2}$ and $2P_{1/2}$ states. This shift was first observed by Willis Lamb and his student Robert Retherford in 1947, and it provided an important test of quantum electrodynamics (QED), the theory that describes the interaction between matter and electromagnetic radiation at the quantum level.
Maxwell's Equations: Maxwell's equations are a set of four fundamental equations that describe the relationships between electric and magnetic fields and electric charges and currents. These equations form the foundation of classical electromagnetism and are essential for understanding various electromagnetic phenomena.
Photons: Photons are the fundamental particles that make up light and other forms of electromagnetic radiation. They are the quanta, or discrete packets, of energy that exhibit both particle-like and wave-like properties, and are central to understanding the behavior of light and its interactions with matter.
Pions: Pions, also known as pi mesons, are a group of three subatomic particles that play a crucial role in the strong nuclear force, one of the four fundamental forces in nature. These particles are composed of a quark and an antiquark and are essential in understanding the behavior of hadrons, a class of particles that interact via the strong force.
Proton-Neutron Interaction: Proton-neutron interaction refers to the strong nuclear force that binds protons and neutrons together within the nucleus of an atom. This fundamental force is one of the four basic forces in nature and is responsible for holding the nucleus together, overcoming the repulsive electromagnetic force between the positively charged protons.
Quantum chromodynamics: Quantum Chromodynamics (QCD) is the theory describing the strong interaction, one of the fundamental forces in particle physics, which acts between quarks and gluons. It explains how quarks are held together within protons, neutrons, and other hadrons.
Quantum Chromodynamics: Quantum Chromodynamics (QCD) is the fundamental theory that describes the strong interaction, one of the four basic forces in nature. It explains the behavior and properties of quarks, the fundamental particles that make up hadrons like protons and neutrons, and the gluons that mediate the strong force between them.
Quantum electrodynamics: Quantum Electrodynamics (QED) is the quantum field theory that describes how light and matter interact. It explains the electromagnetic force between elementary particles using the exchange of virtual photons.
Quantum Electrodynamics: Quantum electrodynamics (QED) is the quantum field theory of electromagnetism, describing how light and matter interact at the quantum level. It is a fundamental theory that explains the nature of light and its relationship with electrically charged particles, providing a comprehensive understanding of phenomena such as the emission, absorption, and scattering of photons.
Quark-Quark Interaction: Quark-quark interaction refers to the strong nuclear force that governs the interactions between quarks, the fundamental particles that make up hadrons like protons and neutrons. This interaction is one of the four fundamental forces in nature and is responsible for the confinement of quarks within hadrons.
Quarks: Quarks are the fundamental subatomic particles that make up hadrons, such as protons and neutrons. They are the building blocks of matter and are believed to be the most basic constituents of the universe, playing a crucial role in our understanding of the four basic forces that govern the physical world.
Radioactive Decay: Radioactive decay is the spontaneous process by which an unstable atomic nucleus loses energy by emitting radiation in the form of particles or electromagnetic waves. This process is a fundamental aspect of nuclear physics and has important implications across various fields, including the four basic forces, conservation of momentum, nuclear radioactivity, the substructure of the nucleus, half-life and activity, and the four basic forces.
Standard Model: The Standard Model is the most comprehensive and well-tested theory in particle physics that describes the fundamental particles and the interactions between them. It encompasses three of the four basic forces in nature: the strong, weak, and electromagnetic forces, leaving out the fourth force, gravity.
Strong Nuclear Force: The strong nuclear force is one of the four fundamental forces in nature, along with the electromagnetic force, the weak nuclear force, and gravity. It is the force that holds the protons and neutrons together in the nucleus of an atom, overcoming the repulsive force between the positively charged protons. This force is incredibly strong, acting over very short distances within the nucleus, and is responsible for the stability and structure of atomic nuclei.
Unification Theories: Unification theories are scientific models that aim to unify the four fundamental forces of nature - gravitational, electromagnetic, strong nuclear, and weak nuclear forces - into a single, coherent theoretical framework. The goal is to develop a unified field theory that can explain the behavior of the universe at the most fundamental level.
Virtual Photons: Virtual photons are theoretical, short-lived particles that mediate the four fundamental forces of nature: the strong force, the weak force, electromagnetism, and gravity. They are not directly observable, but their existence is inferred from the behavior of these forces at the quantum level.
W Bosons: W bosons are electrically charged, massive gauge bosons that mediate the weak nuclear force, one of the four fundamental forces in nature. They are responsible for certain types of radioactive decay and play a crucial role in the Standard Model of particle physics.
Weak Nuclear Force: The weak nuclear force is one of the four fundamental forces in nature, along with gravity, electromagnetism, and the strong nuclear force. It is responsible for certain types of radioactive decay, such as beta decay, and plays a crucial role in the stability of atomic nuclei and the processes that power the Sun and other stars.
Z Bosons: Z bosons are electrically neutral, weakly interacting elementary particles that mediate the weak nuclear force, one of the four fundamental forces in nature. They play a crucial role in the Standard Model of particle physics, which describes the fundamental particles and their interactions.
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