# Higgs field

A computer generated image of a Higgs interaction

The Higgs Field is an energy field that exists everywhere in the universe. The field is accompanied by a fundamental particle called the Higgs Boson, which the field uses to continuously interact with other particles. As particles pass through the field they are "given" mass, much as an object passing through treacle (or molasses) will become slower.

Mass itself is not generated by the Higgs field- the creation of matter or energy would conflict with the laws of conservation. However, mass is "imparted" to particles from the Higgs field, which contains the relative mass in the form of energy. Once the field has endowed a formerly massless particle the particle slows down because it has become heavier.

If the Higgs field did not exist, particles would not have the mass required to attract one another, and would float around freely at light speed.

The process of giving a particle mass is known as the Higgs Effect.

## The Higgs Effect

The Higgs Effect was first theorized in 1964 by writers of the PRL symmetry breaking papers. In 2013 the Higgs Boson, and implicitly the Higgs effect, were tentatively proven at the Large Hadron Collider. The effect was seen as finding a missing piece of the Standard Model.

According to gauge theory -a branch of the Standard Model dealing with force-carrying particles- all force-carrying particles should be massless. However-the force-particles that mediate the weak force have mass. This is due to the Higgs Effect. Scientifically, the Higgs Effect breaks SU(2) symmetry; (SU stands for special unitary, a type of matrix, and 2 refers to the size of the matrices involved).

A symmetry of a system is an operation done to a system, such as rotation or displacement, that leaves the system fundamentally unchanged. A symmetry also provides a rule for how something should always act unless acted on by an outside force. An example is a Rubik's Cube. If we take a Rubik's cube and scrambled it by making whatever moves we want, it is still possible to solve it. Since each move we make still leaves the Rubik's cube solvable, we can say that these moves are 'symmetries' of the Rubik's cube. Together, they form what we call the symmetry group of the Rubik's cube. Making any of these moves doesn't change the puzzle, always leaving it solvable. But, we can break this symmetry by doing something like taking the cube apart, and putting it back together in a completely wrong way. No matter what moves we try now, it is not possible to solve the cube. Breaking the cube apart and putting it back together in the wrong way is the 'outside force': Without this outside force, nothing we do to the cube makes it unsolvable. The symmetry of the Rubik's cube is that it stays solvable whatever moves we make, as long as we don't take apart the cube.

### Creation of Higgs Boson

The way that the SU(2) symmetry is broken is known scientifically as "Spontaneous symmetry breaking"." Spontaneous means random or unexpected, Symmetries are the rules that are being changed, and Breaking refers to the fact that the symmetries are no longer the same. The result of spontaneously breaking the SU(2) symmetry can be a Higgs Boson.

The elevated areas of the so-called "Mexican Hat Potential" are values at which particles have mass

### Reason for Higgs Effect

The Higgs effect occurs because nature tends towards the lowest energy state. Although this may seem weird, if you hold a pencil and then drop it, the pencil will release some of the potential energy stored in its relative distance from the center of the earth. This released potential energy is converted into kinetic energy. Likewise, the Higgs Effect will happen because gauge bosons near a Higgs Field will want to be in their lowest energy states, and this would break at least one symmetry.

To justify giving mass to a would-be massless particle, scientists were forced to do something out of the ordinary. They assumed that vacuums (empty space) actually had energy, and that way, if a particle that we think of as massless were to enter it, the energy from the vacuum would be transferred into that particle, giving it mass. A mathematician named Jeffrey Goldstone proved that if you violate a symmetry, (for example, a symmetry with a Rubik's cube would be if you state that the corners must always be rotated 0 or 3 times to be solvable (it works)), a reaction will occur. In the case of the Rubik's cube, the cube will become unsolvable if violated. In the case of the Higgs field, something named after Jeffrey (and another scientist who worked with him named Yoichiro Nambu) is produced, a Nambu-Goldstone Boson. This is an excited or energetic form of the vacuum, which can be graphed revealing that shown above. The elevated areas are where the Nambu-Goldstone Bosons allow particles to have mass, under the energy provided by a Higgs Field.