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Gamma matrices

In mathematical physics, the gamma matrices, { γ 0 , γ 1 , γ 2 , γ 3 } , {\displaystyle \ \left\{\gamma ^{0},\gamma ^{1},\gamma ^{2},\gamma ^{3}\right\}\ ,} also called the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra C l 1 , 3 ( R ) .…

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Overview

Mathematical structure

Physical structure

Expressing the Dirac equation

The fifth "gamma" matrix, .mw-parser-output .var-serif{font-family:"Nimbus Roman No9 L","Times New Roman",Times,serif;font-size:118%;line-height:1}γ5

Identities

Other representations

Euclidean Dirac matrices

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Gamma matrices

Nodes78
Edges77
Triples35
Avg. degree1.97
Density0.025641
Components1

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Gamma matrices

Top relations

related to Five dimensions · 6
Gamma matrices → Clifford, For, In, The Clifford, This, Thus
related to Chiral representation · 4
Gamma matrices → Euclidean Clifford, It, Notice, QCD
related to Dirac basis · 4
Gamma matrices → Dirac, Kronecker, The, To
related to The fifth "gamma" matrix, .mw-parser-output .var-serif{font-family:"Nimbus Roman No9 L","Times New Roman",Times,serif;font-size:118%;line-height:1}γ5 · 4
Gamma matrices → Although, Cl, It, The
related to Charge conjugation · 3
Gamma matrices → Conjugating, The, This
related to Mathematical structure · 3
Gamma matrices → Clifford, Minkowski, The
related to Other representation-free properties · 3
Gamma matrices → Hermitian, In, The
related to Cl1,3(C) and Cl1,3(R) · 2
Gamma matrices → Cl1, The Dirac
related to Normalization · 2
Gamma matrices → The, We
related to Trace identities · 2
Gamma matrices → The, Trace

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Important terminology

displaystyle gamma matrices dirac algebra basis mu representation clifford mathrm group spinors also matrix mathbb space spacetime left right metric

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Gamma matricesrelated to Charge conjugationThe0.60section
Gamma matricesrelated to Charge conjugationThis0.60section
Gamma matricesrelated to Charge conjugationConjugating0.60section
Gamma matricesrelated to Chiral representationNotice0.60section
Gamma matricesrelated to Chiral representationEuclidean Clifford0.60section
Gamma matricesrelated to Chiral representationIt0.60section
Gamma matricesrelated to Chiral representationQCD0.60section
Gamma matricesrelated to Cl1,3(C) and Cl1,3(R)The Dirac0.60section
Gamma matricesrelated to Cl1,3(C) and Cl1,3(R)Cl10.60section
Gamma matricesrelated to Dirac basisThe0.60section
Gamma matricesrelated to Dirac basisDirac0.60section
Gamma matricesrelated to Dirac basisTo0.60section

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