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documentation:ref:unitarysimplify [2015/11/21 12:33] (current)
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 +====== UnitarySimplify ======
 +----
 +====Description====
 +  * ''​%% UnitarySimplify%%''​ simplifies combinations of SU(N) matrices and SU(N) structural and $d$-constants in expression.
 +
 +
 +  * By default ''​UnitarySimplify''​ uses notation ''​T_A''​ for SU(N) matrices, ''​f_ABC''​ for SU(N) structural constants, ''​d_ABC''​ for $d$-constatnts and ''​N''​ for dimension.
 +
 +
 +
 +  * ''​%% UnitarySimplify[[Matrix:​ T, f: f, d: d, N:​n]]%%''​ specifies the notation for SU(N) matrices, structural constants, $d$-constants and dimension .
 +====Examples====
 +Simplify product of SU(N) matrices:
 +<sxh groovy; gutter: true>
 +defineMatrices '​T_A',​ Matrix2.matrix
 +println UnitarySimplify[[Matrix:​ '​T_A'​]] >> '​T_A*T^A'​.t
 +</​sxh>​
 +<sxh plain; gutter: false>
 +    > (1/​2)*(N**2-1)*N**(-1)
 +</​sxh>​
 +<sxh groovy; gutter: true; first-line: 3>
 +println UnitarySimplify[[Matrix:​ '​T_A'​]] >> '​T_A*T_B*T^A'​.t
 +</​sxh>​
 +<sxh plain; gutter: false>
 +    > -(1/​2)*N**(-1)*T_{B}
 +</​sxh>​
 +
 +====See also====
 +  * Related guides: [[documentation:​guide:​applying_and_manipulating_transformations]],​ [[documentation:​guide:​Setting up matrix objects]], [[documentation:​guide:​list_of_transformations]]
 +  * Related tutorials: [[documentation:​tutorials:​Compton scattering in QCD]]
 +  * Related transformations:​ [[documentation:​ref:​unitarytrace]],​ [[documentation:​ref:​diractrace]]
 +  * JavaDocs: [[http://​api.redberry.cc/​redberry/​1.1.9/​java-api//​cc/​redberry/​physics/​feyncalc/​UnitarySimplifyTransformation.html| UnitarySimplifyTransformation]]
 +  * Source code: [[https://​bitbucket.org/​redberry/​redberry/​src/​tip/​physics/​src/​main/​java/​cc/​redberry/​physics/​feyncalc/​UnitarySimplifyTransformation.java|UnitarySimplifyTransformation.java]]