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1/N expansion

Index 1/N expansion

In quantum field theory and statistical mechanics, the 1/N expansion (also known as the "large N" expansion) is a particular perturbative analysis of quantum field theories with an internal symmetry group such as SO(N) or SU(N). [1]

28 relations: Adjoint representation, AdS/CFT correspondence, Auxiliary field, Condensed matter physics, Coupling constant, Cycle (graph theory), Einstein notation, Feynman diagram, Flavour (particle physics), Gauge theory, Gluon, Group theory, Index notation, Lagrangian (field theory), Local symmetry, Mean field theory, Orthogonal group, Particle physics, Perturbation theory, Quantum chromodynamics, Quantum field theory, Quark, Quartic interaction, Real number, Special unitary group, Statistical mechanics, Ursell function, Weyl semimetal.

Adjoint representation

In mathematics, the adjoint representation (or adjoint action) of a Lie group G is a way of representing the elements of the group as linear transformations of the group's Lie algebra, considered as a vector space.

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AdS/CFT correspondence

In theoretical physics, the anti-de Sitter/conformal field theory correspondence, sometimes called Maldacena duality or gauge/gravity duality, is a conjectured relationship between two kinds of physical theories.

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Auxiliary field

In physics, and especially quantum field theory, an auxiliary field is one whose equations of motion admit a single solution.

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Condensed matter physics

Condensed matter physics is the field of physics that deals with the macroscopic and microscopic physical properties of matter.

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Coupling constant

In physics, a coupling constant or gauge coupling parameter is a number that determines the strength of the force exerted in an interaction.

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Cycle (graph theory)

In graph theory, a cycle is a path of edges and vertices wherein a vertex is reachable from itself.

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Einstein notation

In mathematics, especially in applications of linear algebra to physics, the Einstein notation or Einstein summation convention is a notational convention that implies summation over a set of indexed terms in a formula, thus achieving notational brevity.

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Feynman diagram

In theoretical physics, Feynman diagrams are pictorial representations of the mathematical expressions describing the behavior of subatomic particles.

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Flavour (particle physics)

In particle physics, flavour or flavor refers to the species of an elementary particle.

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Gauge theory

In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under certain Lie groups of local transformations.

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Gluon

A gluon is an elementary particle that acts as the exchange particle (or gauge boson) for the strong force between quarks.

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Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

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Index notation

In mathematics and computer programming, index notation is used to specify the elements of an array of numbers.

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Lagrangian (field theory)

Lagrangian field theory is a formalism in classical field theory.

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Local symmetry

In physics, a local symmetry is symmetry of some physical quantity, which smoothly depends on the point of the base manifold.

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Mean field theory

In physics and probability theory, mean field theory (MFT also known as self-consistent field theory) studies the behavior of large and complex stochastic models by studying a simpler model.

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Orthogonal group

In mathematics, the orthogonal group in dimension, denoted, is the group of distance-preserving transformations of a Euclidean space of dimension that preserve a fixed point, where the group operation is given by composing transformations.

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Particle physics

Particle physics (also high energy physics) is the branch of physics that studies the nature of the particles that constitute matter and radiation.

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Perturbation theory

Perturbation theory comprises mathematical methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem.

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Quantum chromodynamics

In theoretical physics, quantum chromodynamics (QCD) is the theory of the strong interaction between quarks and gluons, the fundamental particles that make up composite hadrons such as the proton, neutron and pion.

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Quantum field theory

In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics.

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Quark

A quark is a type of elementary particle and a fundamental constituent of matter.

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Quartic interaction

In quantum field theory, a quartic interaction is a type of self-interaction in a scalar field.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Special unitary group

In mathematics, the special unitary group of degree, denoted, is the Lie group of unitary matrices with determinant 1.

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Statistical mechanics

Statistical mechanics is one of the pillars of modern physics.

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Ursell function

In statistical mechanics, an Ursell function or connected correlation function, is a cumulant of a random variable.

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Weyl semimetal

Weyl fermions are massless chiral fermions that play an important role in quantum field theory and the standard model.

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Redirects here:

Large N QCD, Large N limit, Large-N, Large-N expansion.

References

[1] https://en.wikipedia.org/wiki/1/N_expansion

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