====== 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]]